On the mathematical work of Vladimir Savel'evich Buslaev

V. M. Babich ; A. M. Budylin ; L. A. Dmitrieva ; A. I. Komech ; S. B. Levin ; M. V. Perel' ; E. A. Rybakina ; V. V. Sukhanov ; A. A. Fedotov

Algebra i analiz, Tome 25 (2013) no. 2, pp. 3-36.

Bibliographie

[1] Buslaev V. S., “Dispersionnye sootnosheniya v nerelyativistskoi teorii rasseyaniya pri uchete spin-orbitalnogo vzaimodeistviya”, Zh. eksper. i tekh. fiziki, 39:11 (1960), 1422–1426 | MR

[2] Buslaev V. S., Faddeev L. D., “O formulakh sledov dlya singulyarnogo differentsialnogo operatora Shturma–Liuvillya”, Dokl. AN SSSR, 132:1 (1960), 13–16 | MR | Zbl

[3] Buslaev V. S., “Formuly sleda dlya operatora Shredingera v trekhmernom prostranstve”, Dokl. AN SSSR, 143:5 (1962), 1067–1070 | MR | Zbl

[4] Buslaev V. S., Fomin V. N., “K obratnoi zadache rasseyaniya dlya odnomernogo uravneniya Shrëdingera na vsei osi”, Vestn. Leningr. un-ta. Ser. 1, 1962, no. 1, 56–64 | MR | Zbl

[5] Buslaev V. S., “O korotkovolnovoi asimptotike v zadache difraktsii na vypuklykh telakh”, Dokl. AN SSSR, 145:4 (1962), 753–756 | MR | Zbl

[6] Buslaev V. S., “O formulakh korotkovolnovoi asimptotiki v zadache difraktsii na vypuklykh telakh”, Vestn. Leningr. un-ta. Ser. 1, 1962, no. 3, 5–21 | MR | Zbl

[7] Buslaev V. S., Korotkovolnovaya asimptotika v zadache difraktsii na vypuklykh telakh, Kand. dis., LGU, L., 1963

[8] Buslaev V. S., “O korotkovolnovoi asimptotike v zadache difraktsii na gladkikh vypuklykh konturakh”, Tr. Mat. in-ta AN SSSR, 73, 1964, 14–117 | MR

[9] Buslaev V. S., “Primenenie kontinualnykh integralov dlya vyvoda korotkovolnovoi asimptotiki v difraktsionnykh zadachakh”, Dokl. AN SSSR, 160:3 (1965), 566–569 | Zbl

[10] Buslaev V. S., “Formuly sledov i nekotorye asimptoticheskie otsenki yadra rezolventy dlya operatora Shrëdingera v trekhmernom prostranstve”, Probl. mat. fiz., 1, LGU, L., 1966, 82–101 | MR

[11] Buslaev V. S., “Dobavlenie k state: V. M. Babich. Ob analiticheskom prodolzhenii rezolventy vneshnikh zadach dlya operatora Laplasa na vtoroi list”, Teoriya funktsii, funktsionalnyi analiz i ikh prilozheniya, v. 3, Khar. gos. un-t., 1966, 151–157

[12] Buslaev V. S., “Kontinualnye integraly i asimptotika reshenii parabolicheskikh uravnenii pri $t\to0$. Prilozheniya k difraktsii”, Probl. mat. fiz., 2, LGU, L., 1967, 85–107 | MR

[13] Buslaev V. S., “Formuly sleda v teorii geodezicheskikh”, Dokl. AN SSSR, 182:1 (1968), 59–62 | MR

[14] Buslaev V. S., Matematicheskie problemy relyativistskoi fiziki, Perevod knigi, Mir, M., 1968 | MR

[15] Buslaev V. S., “Invariantnoe opisanie kanonicheskogo operatora V. P. Maslova”, Dokl. AN SSSR, 184:1 (1969), 59–62 | MR

[16] Buslaev V. S., “Proizvodyaschii integral i kanonicheskii operator Maslova v metode VKB”, Funkts. anal. i ego pril., 3:3 (1969), 17–31 | MR | Zbl

[17] Buslaev V. S., Merkurev C. P., “Formula sleda dlya sistemy trekh chastits”, Dokl. AN SSSR, 189:2 (1969), 269–272 | MR | Zbl

[18] Buslaev V. S., Vozmuschenie spektra operatorov v gilbertovom prostranstve, Perevod knigi, Mir, M., 1969

[19] Buslaev V. S., “Formula sleda i spektralnye tozhdestva v modeli Fridrikhsa”, Probl. mat. fiz., 4, LGU, L., 1970, 48–60 | MR

[20] Buslaev V. S., Skriganov M. M., “Kharakteristicheskoe svoistvo veilevskogo kvantovaniya”, Teor. i mat. fiz., 2:3 (1970), 292–296 | MR

[21] Buslaev V. S., Matveev V. B., “Volnovye operatory dlya uravneniya Shredingera s medlenno ubyvayuschim potentsialom”, Teor. i mat. fiz., 2:3 (1970), 367–376 | MR

[22] Buslaev V. S., Merkurev S. P., “O svyazi mezhdu tretim virialnym koeffitsientom i matritsei rasseyaniya”, Teor. i mat. fiz., 5:3 (1970), 372–387

[23] Buslaev V. S., “Ob obobschennykh volnovykh operatorakh”, Vestn. Leningr. un-ta. Ser. 1, 1970, no. 13, 153–155 | MR | Zbl

[24] Buslaev V. S., “Kvantovanie i metod VKB”, Tr. Mat. in-ta AN SSSR, 110, 1970, 5–28 | MR | Zbl

[25] Buslaev V. S., Merkurev S. P., “O tretem gruppovom integrale v kvantovo-mekhanicheskoi statistike”, Tr. Mat. in-ta AN SSSR, 110, 1970, 29–44 | MR | Zbl

[26] Buslaev V. S., “Teoriya potentsiala i geometricheskaya optika”, Zap. nauch. semin. LOMI, 22, 1971, 175–180 | MR | Zbl

[27] Buslaev V. S., “Rasseyannye ploskie volny, spektralnye asimptotiki i formuly sleda vo vneshnikh zadachakh”, Dokl. AN SSSR, 197:5 (1971), 999–1002 | MR | Zbl

[28] Buslaev V. S., Alimov A. L., “O kontinualnom integrale dlya parabolicheskogo uravneniya vtorogo poryadka”, Vestn. Leningr. un-ta. Ser. 1, 1972, no. 1, 5–14 | MR | Zbl

[29] Buslaev V. S., “O formulakh sleda v mnogokanalnykh zadachakh”, Zap. nauch. semin. LOMI, 27, 1972, 47–66 | MR | Zbl

[30] Buslaev V. S., “Formula sleda i singulyarnosti matritsy rasseyaniya dlya sistemy trekh odnomernykh chastits. Tretii gruppovoi integral”, Teor. i mat. fiz., 16:2 (1973), 247–259 | MR

[31] Buslaev V. S., “Korotkovolnovaya asimptotika v okresnosti raspolozhennogo na granitse istochnika”, Tr. VI Vsesoyuz. simpozium po difr. i rasp. voln, v. 1, M.–Erevan, 1973, 37–40

[32] Buslaev V. S., Spektralnye asimptotiki i formuly sleda dlya uravneniya Shrëdingera, Dokt. dis., LGU, L., 1973

[33] Buslaev V. S., Skriganov M. M., “Koordinatnaya asimptotika resheniya zadachi rasseyaniya dlya uravneniya Shrëdingera”, Teor. i mat. fiz., 19:2 (1974), 217–232 | MR | Zbl

[34] Buslaev V. S., On the high temperature asymptotic behavior of Quantum Group Integrals, Repports Inst. Theor. Phys., Roland Eotvos Univ. no. 344, ITP, Budapest, 1974

[35] Buslaev V. S., “Ob asimptoticheskom povedenii spektralnykh kharakteristik vneshnikh zadach dlya operatora Shrëdingera”, Izv. AN SSSR, Ser. mat., 39:1 (1975), 149–235 | MR | Zbl

[36] Buslaev V. S., “Lokalnye spektralnye asimptotiki funktsii Grina vo vneshnikh zadachakh dlya operatora Shrëdingera”, Vestn. Leningr. un-ta. Ser. 1, 1975, no. 1, 55–60 | MR | Zbl

[37] Buslaev V. S., “Asimptoticheskie formuly na nepreryvnom spektre differentsialnykh operatorov”, Uspekhi mat. nauk, 32:1 (1977), 244–245

[38] Buslaev V. S., “Spektralnye asimptotiki dlya vneshnikh kraevykh zadach”, Uspekhi mat. nauk, 32:1 (1977), 233–234

[39] Buslaev V. S., Vakulenko A. F., “Unitarnaya regulyarizatsiya trekhchastichnogo rasseyaniya”, Vestn. Leningr. un-ta. Ser. 1, 1977, no. 13 | MR

[40] Buslaev V. S., “Resheniya tipa “dvoinogo solitona” dlya mnogomernogo uravneniya $\square u=-V'(u)$”, Teor. i mat. fiz., 31:1 (1977), 23–32 | MR | Zbl

[41] Buslaev V. S., Vakulenko A. F., “Unitarnyi regulyarizator dlya trekhchastichnogo rasseyaniya”, Trudy konf., posvyasch. 75-letiyu Petrovskogo, MGU, M., 1978

[42] Buslaev V. S., Merkurev S. P., Salikov S. P., “O difraktsionnom kharaktere rasseyaniya v kvantovoi sisteme trekh odnomernykh chastits”, Prob. mat. fiz., 9, LGU, L., 1979, 14–30 | MR

[43] Buslaev V. S., Merkurev S. P., Salikov S. P., “Opisanie parnykh potentsialov, dlya kotorykh rasseyanie v sisteme trekh odnomernykh chastits svobodno ot difraktsionnykh effektov”, Zap. nauch. semin. LOMI, 84, 1979, 16–22 | MR | Zbl

[44] Buslaev V. S., Variatsionnoe ischislenie, Izd-vo LGU, L., 1980 | Zbl

[45] Buslaev V. S., “Ispolzovanie determinantnogo predstavleniya reshenii uravneniya Kortevega–de Friza dlya issledovaniya ikh asimptoticheskogo povedeniya pri bolshikh vremenakh”, Uspekhi mat. nauk, 36:4 (1981), 217–218

[46] Buslaev V. S., “Struktura akusticheskogo polya vblizi poverkhnosti glubokogo morya”, Tr. 8-go Vsesoyuz. simpoz. po difr. i raspr. voln, v. 3, Lvov, 1981, 174–177

[47] Buslaev V. S., Buldyrev V. S., “Asimptoticheskie metody v zadachakh rasprostraneniya zvuka v okeanicheskikh volnovodakh i ikh chislennaya realizatsiya”, Zap. nauch. semin. LOMI, 117, 1981, 39–77 | Zbl

[48] Buslaev V. S., “Struktura akusticheskogo polya vblizi poverkhnosti glubokogo morya. I”, Zap. nauch. semin. LOMI, 117, 1981, 98–111 | MR | Zbl

[49] Buslaev V. S., “Volnovoe pole vblizi granitsy shirokogo refraktsionnogo volnovoda”, Dokl. AN SSSR, 262:1 (1982), 75–78 | MR

[50] Buslaev V. S., Rybakina E. A., “Formula sleda v gamiltonovoi mekhanike”, Zap. nauch. semin. LOMI, 115, 1982, 40–60 | MR | Zbl

[51] Buslaev V. S., Sukhanov V. V., “Ob asimptoticheskom povedenii pri $t\to\infty$ reshenii uravneniya $\Psi_{xx}+u\Psi+\frac\lambda4\Psi=0$ s potentsialom $u$, udovletvoryayuschim uravneniyu Kortevega–de Friza. I”, Probl. mat. fiz., 10, LGU, L., 1982, 70–102 | MR

[52] Buslaev V. S., Fedotov A. A., “Interferentsionnyi kharakter akusticheskogo polya vblizi poverkhnosti glubokogo morya”, Tr. 3-i Dalnevostochnoi akustich. konf., v. 1, Vladivostok, 1982, 115–118

[53] Buslaev V. S., Sukhanov V. V., “Ob asimptoticheskom povedenii reshenii uravnenii Kortevega–de Friza pri bolshikh vremenakh”, Zap. nauch. semin. LOMI, 120, 1982, 32–50 | MR | Zbl

[54] Buslaev V. S., “Opisanie akusticheskogo polya tochechnogo istochnika v glubokom more v terminakh uglovogo spektra luchei”, Tr. X Vsesoyuz. akustich. konf., Cek. A., M., 1983, 17–20

[55] Buslaev V., “Regularization of many particle scattering”, Proc. Intern. Cong. Math., v. 2, Warszawa, 1983, 1149–1159 | MR

[56] Alenitsyn A. G., Buslaev V. S., Perel M. V., “Raschet akusticheskogo polya vblizi poverkhnosti glubokogo morya”, Voprosy sudostroeniya, ser. Akustika, 18 (1984)

[57] Buslaev V. S., “Adiabaticheskoe vozmuschenie periodicheskogo potentsiala”, Teor. i mat. fiz., 58:2 (1984), 233–243 | MR | Zbl

[58] Buslaev V. S., Nalimova E. A., “Formula sleda v obschei gamiltonovoi mekhanike”, Teor. i mat. fiz., 60:3 (1984), 344–355 | MR | Zbl

[59] Buslaev V. S., Nalimova E. A., “Formula sleda v lagranzhevoi mekhanike”, Teor. i mat. fiz., 61:1 (1984), 52–63 | MR | Zbl

[60] Buslaev V. S., Sukhanov V. V., “Ob asimptoticheskom povedenii pri $t\to\infty$ reshenii uravneniya $\Psi_{xx}+u\Psi+\frac\lambda4\Psi=0$ s potentsialom $u$, udovletvoryayuschim uravneniyu Kortevega–de Friza. II”, Zap. nauch. semin. LOMI, 138, 1984, 8–32 | MR | Zbl

[61] Buslaev V. S., Perel M. V., “Struktura akusticheskogo polya v glubokom more na malykh glubinakh i bolshikh dalnostyakh”, Vestn. Leningr. un-ta. Ser. 1, 1984, no. 22, 9–17

[62] Buslaev V. S., Buldyrev V. S., “Rasprostranenie zvuka v okeane”, Preprint IRE AN SSSR, 45:417 (1984), 1–43

[63] Buslaev V. S., Buldyrev V. S., “Kachestvennaya struktura akusticheskogo polya v okeane”, Preprint IRE AN SSSR, 44:416 (1984), 1–55

[64] Buslaev V. S., Rybakina E. A., “Formula sleda dlya nelineinogo skalyarnogo polya”, Vestn. Leningr. un-ta. Ser. 1, 1985, no. 18, 74–76

[65] Buslaev V. S., “Obobschenie VKB-formul na uravneniya s periodicheskimi koeffitsientami”, Volny i difrak., Tr. IX Vsesoyuzn. simpoz. po difrak. i raspr. voln, v. 1, Tbilisi, 1985, 58–61

[66] Buslaev V. S., Perel M. V., “Pole tochechnogo istochnika v shirokom refraktsionnom volnovode pri narushenii uslovii luchevogo priblizheniya vblizi granitsy”, Volny i difraktsiya, Tr. IX Vsesoyuzn. simp. po difrak. i raspr. voln, v. 2, Tbilisi, 1985, 526–529

[67] Buslaev V. S., Sukhanov V. V., “Ob asimptoticheskom povedenii pri $t\to\infty$ reshenii uravneniya $\Psi_{xx}+u\Psi+\frac\lambda4\Psi=0$ s potentsialom $u$, udovletvoryayuschim uravneniyu Kortevega-de Friza. III”, X Vsesoyuz. shk. po teorii operat. v funktsion. prostranstvakh, Novosibirsk, 1985, 36 pp.

[68] Buslaev V. S., Budylin A. M., “Ob asimptoticheskom povedenii spektralnykh kharakteristik integralnogo operatora s raznostnym yadrom na razduvayuschikhsya oblastyakh”, Dokl. AN SSSR, 287:3 (1986), 529–532 | MR | Zbl

[69] Buslaev V. S., Faddeev L. D., Takhtajan L. A., “Scattering theory for Korteveg-De Vriez (KdV) equation and its Hamiltonian interpretation”, Physica D, 18 (1986), 255–266 | DOI | MR | Zbl

[70] Buslaev V. S., Perel M. V., “Vliyanie profilya skorosti vblizi poverkhnosti na strukturu akusticheskogo polya v glubokom more”, Akust. zh., 32:3 (1986), 296–302

[71] Buslaev V. S., Rybakina E. A., “Formula sleda dlya nelineinogo uravneniya Kleina–Gordona”, Uspekhi mat. nauk, 41:4 (1986), 155

[72] Buslaev V. S., Buldyrev V. S., “Primenenie analiticheskikh i chislennykh metodov v zadachakh rasprostraneniya zvuka v okeane”, Akusticheskie volny v okeane, Nauka, M., 1987, 24–34

[73] Buslaev V. S., Kaliteevskii N. A., “Glavnye singulyarnosti matritsy rasseyaniya dlya sistemy odnomernykh chastits”, Teor. i mat. fiz., 70:2 (1987), 266–277 | MR

[74] Buslaev V. S., Fedotov A. A., “Vliyanie sloya gorizontalnoi neodnorodnosti na rasprostranenie zvuka v glubokom more pri narushenii uslovii adiabatichnosti”, Akust. zh., 32:11 (1987), 27–31

[75] Buslaev V. S., Fedotov A. A., “Rasprostranenie voln v plavno neodnorodnom refraktsionnom volnovode s granitsami”, Vestn. Leningr. un-ta. Ser. 1, 1987, no. 4, 71–73

[76] Buslaev V. S., Chernenko V. G., “Spektralnye tozhdestva dlya mnogochastichnogo operatora Shrëdingera”, Vestn. Leningr. un-ta. Ser. 1, 1987, no. 11, 16–20 | MR

[77] Buslaev V. S., Dmitrieva L. A., “Adiabaticheskoe vozmuschenie periodicheskogo potentsiala. II”, Teor. i mat. fiz., 73:3 (1987), 430–442 | MR | Zbl

[78] Buslaev V. S., Rybakina E. A., “Formula sleda dlya nelineinogo uravneniya Kleina–Gordona”, Probl. mat. fiz., 12, LGU, L., 1987, 190–213 | MR

[79] Buslaev V. S., “Kvaziklassicheskoe priblizhenie dlya uravnenii s periodicheskimi koeffitsientami”, Uspekhi mat. nauk, 42:6 (1987), 77–98 | MR | Zbl

[80] Buslaev V. S., “O kvaziklassicheskom priblizhenii dlya uravnenii s periodicheskimi koeffitsientami”, Uspekhi mat. nauk, 42:4 (1987), 133

[81] Buslaev V. S., Chernenko V. G., Zamechaniya o regulyarizatsii formul sleda dlya sistemy trekh chastits, Dep. VINITI, 490-v83, 15.01.1988

[82] Avdeev A. D., Popov A. N., Buslaev V. S., “Rasprostranenie voln v neregulyarnykh volnovodakh”, Raspr. voln v sloistykh sredakh, Materialy IX Vsesoyuz. shk. po difrak. i rasprostr. voln, Kazan, 1988, 5–113

[83] Buslaev V. S., “Kvaziklassicheskoe priblizhenie dlya uravnenii s periodicheskimi koeffitsientami”, Matemat. metody difraktsii, Materialy IX Vsesoyuz. shk. po difrak. i raspr. voln, Kazan, 1988, 65–94

[84] Buslaev V. S., Dmitrieva L. A., “Bloch electrons in an external electric fields”, Schroedinger operators, standartand nonstandard, Proc. of Conf., Dubna, 1988, 103–129 | MR

[85] Buslaev V. S., Dmitrieva L. A., “Blokhovskii elektron vo vneshnem pole”, Algebra i analiz, 1:2 (1989), 1–29 | MR | Zbl

[86] Buslaev V. S., Dmitrieva L. A., “Geometrical aspects of the Bloch electrons theory in external fields”, Topological Phases in Quantum Theory, Proc. of Conf., Dubna, 1988, 218–225 | MR

[87] Buslaev V. S., Dmitrieva L. A., Spectral properties of the Bloch electrons in external fields, Prep. PAM-477, UC-Berkeley, 1989

[88] Buslaev V., “Spectral properties of the operators $H\psi=-\Psi_{xx}+p(x)\Psi+v(\varepsilon x)\Psi$, where $v$ is periodic”, Order, Disorder and Chaos in Quantum Systems (Dubna, 1989), Oper. Theory Adv. Appl., 46, Birkhauser, Basel, 1990, 85–107 | MR

[89] Buslaev V. S., “Tochki povorota v asimptoticheskoi teorii uravneniya Shrëdingera s periodicheskim potentsialom”, Volny i difrak.-90, v. 2, Fiz. ob-vo SSSR, M., 1990, 25–28

[90] Buslaev V., “On spectral properties of adiabatically perturbed Schrödinger operators with periodic potentials”, Seminaire sur les Equations aux Derivees Partieless (1990–1991), Ecole Polytech., Palaiseau, 1991, Exp. no. XXIII, 15 pp. | MR

[91] Buslaev V., “Spectral properties of adiabatically perturbed differential operators with periodic coefficients”, Recent Development in Quantum Mechanics (Poiana Brasov, 1989), Math. Phys. Stud., 12, Kluwer Acad. Publ., Dordrecht, 1991, 97–112 | MR

[92] Buslaev V. S., Budylin A. M., “Kvaziklassicheskie integralnye uravneniya”, Dokl. AN SSSR, 319:3 (1991), 527–530 | MR | Zbl

[93] Buslaev V., Budylin A., “Reflection operators and their applications to asymptotic investigations of semiclassical integral equations”, Adv. Soviet Math., 7 (1991), 107–157 | MR | Zbl

[94] Buslaev V. S., Budylin A. M., “Ob asimptoticheskom povedenii spektralnykh kharakteristik integralnogo operatora s raznostnym yadrom na rasshiryayuschikhsya oblastyakh”, Probl. mat. fiz., 13, LGU, L., 1991, 16–59 | MR

[95] Buslaev V. S., Erikke B., Palamodov V., Khavin V., “Kommutativnyi garmonicheskii analiz, 3”, Itogi nauki i tekhn. Sovrem. probl. mat. Fundam. napravl., 72, VINITI, M., 1991, 135–180 | MR | Zbl

[96] Buslaev V. S., Perelman G. S., “On nonlinear scattering of states which are close to a soliton”, Methodes semi-classiques (Nantes, 1991), v. 2, Asterisque, 210, 1992, 49–63 | MR | Zbl

[97] Buslaev V. S., Perelman G. S., “Nelineinoe rasseyanie: sostoyaniya, blizkie k solitonu”, Zap. nauch. semin. LOMI, 200, 1992, 38–50 | MR | Zbl

[98] Buslaev V. S., Perelman G. S., “Rasseyanie dlya nelineinogo uravneniya Shrëdingera: sostoyaniya, blizkie k solitonu”, Algebra i analiz, 4:6 (1992), 63–102 | MR | Zbl

[99] Buslaev V. S., Fedotov A. A., Complex WKB-method for Harper's equation, Repport no. 11, Inst. Mittag–Leffler, 1993

[100] Buslaev V. S., Fedotov A. A., On a class of matrices related to Harper's equation, Repport no. 19, Inst. Mittag–Leffler, 1993

[101] Buslaev V. S., Budylin A. M., “Kvaziklassicheskie integralnye uravneniya s medlenno ubyvayuschimi yadrami na ogranichennykh oblastyakh”, Algebra i analiz, 5:1 (1993), 160–178 | MR | Zbl

[102] Buslaev V. S., Fedotov A. A., “The functional structure of the monodromy matrix for Harper's equation”, Oper. Theory. Adv. Appl., 70, Birkhäuser, Basel, 1993, 321–342 | MR

[103] Buslaev V. S., Grecchi V., “Equivalence of unstable anharmonic oscillators and double wells”, J. Phys. A, 26 (1993), 5541–5549 | DOI | MR | Zbl

[104] Buslaev V. S., Fedotov A. A., “Kompleksnyi metod VKB dlya uravneniya Kharpera”, Algebra i analiz, 6:3 (1994), 59–83 | MR | Zbl

[105] Buslaev V. S., Fedotov A. A., “The monodromization and Harper equation”, Seminare sur less Equations aux Derivees Partielles (1993–1994), Ecole Polythecnique, Palaiseau, 1994, Exp. no. XXI, 23 pp. | MR

[106] Buslaev V. S., Perelman G. S., “On stability of solitary waves for nonlinear Schrödinger equation”, Amer. Math. Soc. Transl. (2), 164, Amer. Math. Soc., Providence, RI, 1995, 75–98 | MR | Zbl

[107] Buslaev V., Budylin A., “Semiclassical integral equations on the semi-axis”, Amer. Math. Soc. Transl. (2), 177, Amer. Math. Soc., Providence, RI, 1995, 45–49 | MR

[108] Buslaev V. S., Fedotov A. A., “Blokhovskie resheniya dlya raznostnykh uravnenii”, Algebra i analiz, 7:4 (1995), 74–122 | MR | Zbl

[109] Buslaev V. S., Budylin A. M., “Kvaziklassicheskaya asimptotika rezolventy integralnogo operatora svertki s sinus-yadrom na konechnom intervale”, Algebra i analiz, 7:6 (1995), 79–103 | MR | Zbl

[110] Buslaev V. S., Fedotov A. A., On the point spectrum of difference Schroedinger operators, Preprint no. 272, Schrödinger Inst., Wien, 1995

[111] Buslaev V. S., Budylin A. M., “Kvaziklassicheskie integralnye uravneniya i asimptoticheskoe povedenie reshenii uravneniya Kortevega-de Friza pri bolshikh vremenakh”, Dokl. RAN, 348:4 (1996), 455–458 | MR | Zbl

[112] Buslaev V. S., Fedotov A. A., “Uravnenie Kharpera: monodromizatsiya bez kvaziklassiki”, Algebra i analiz, 8:2 (1996), 65–97 | MR | Zbl

[113] Buslaev V. S., Fedotov A. A., “Spectral properties of a monodromy matrix for Harper equation”, Equations aux Derivees Partielles (Saint-Jean de Monts., 1996), École Polytech., Palaiseau, 1996, Exp. no. IV, 11 pp. | MR

[114] Buslaev V. S., Grigis A., “Imaginary parts of Stark–Wannier resonances”, J. Math. Phys., 39:5 (1998), 2520–2550 | DOI | MR | Zbl

[115] Buslaev V. S., Buslaeva M. V., “Singulyarnosti funktsii Grina nestatsionarnogo uravneniya Shrëdingera”, Funkts. anal. i ego pril., 32:2 (1998), 80–83 | DOI | MR | Zbl

[116] Buslaev V. S., “Kronig–Penney electron in the external electric field”, AMS volume devoted to M. Sh. Birman, Amer. Math. Soc., Providence, RI, 1998, 15 pp.

[117] Buslaev V., Budylin A., “The Gelfand–Levitan–Marchenko equation and the long time asymptotics of the solutions of the nonlinear Schroedinger equation”, Amer. Math. Soc. Transl. (2), 201, Amer. Math. Soc., Providence, RI, 2000, 63–78 | MR | Zbl

[118] Buslaev V. S., Budylin A. M., “Uravnenie Marchenko i asimptotika reshenii nelineinogo uravneniya Shrëdingera pri bolshikh vremenakh”, Algebra i analiz, 12:5 (2000), 64–105 | MR | Zbl

[119] Buslaev V., Budylin A., “Semiclassical pseudodifferential operators with double discontinuous symbols and their applications to problems of quantum statistical physics”, Oper. Theory. Adv. Appl., 126, Bikhäuser Verlag, Basel, 2001, 41–52 | MR

[120] Buslaev V. S., Grigis A., “Turning points for adiabatically perturbed periodic equations”, J. Anal. Math., 84 (2001), 67–143 | DOI | MR | Zbl

[121] Buslaev V. S., Grikurov V., “Simulation of instability of bright solitons for NLS with saturated nonlinearity”, Math. Comput. Simulation, 56 (2001), 536–546 | DOI | MR

[122] Buslaev V. S., Fedotov A. A., “On the difference equations with periodic coefficients”, Adv. Theor. Math. Phys., 5:6 (2001), 1105–1168 | MR | Zbl

[123] Buslaev V. S., Sulem C., “On the asymptotic stability of solitary waves of nonlinear Schrödinger equations”, Ann. Inst. H. Poincare Anal. Nonlineaire, 20:3 (2003), 419–475 | DOI | MR | Zbl

[124] Buslaev V. S., Pastur L. A., “A class of the multi-interval eigenvalue distributions of matrix models and related structures”, NATO Sci. Ser. II Math. Phys. Chem., 77 (2002), 51–70 | MR | Zbl

[125] Buslaev V. S., Sulem C., “Asymptotic stability of solitary waves”, Invited paper, The legacy of Inverse Scattering Transform in Applied Mathematics, Contempory Mathematics, 301, eds. S. Bona, R. Choudhary, D. Kaup, AMS, 2002, 163–181 | DOI | MR | Zbl

[126] Buslaev V. S., “Asimptoticheskoe sopostavlenie differentsialnykh uravnenii”, Algebra i analiz, 14:4 (2002), 1–18 | MR | Zbl

[127] Buslaev V. S., Buslaeva M. V., Gridzhis A., “Adiabaticheskaya asimptotika koeffitsienta otrazheniya”, Algebra i analiz, 16:3 (2004), 1–23 | MR | Zbl

[128] Buslaev V. S., Grinina E., “Neskolko zamechanii o kvantovoi adiabaticheskoi teoreme”, Algebra i analiz, 16:4 (2004), 41–53 | MR | Zbl

[129] Buslaev V. S., Buldyrev V. S., Franke V. A., “Kommentarii”: V. A. Fok, Izbrannye trudy, SpbGU, Spb., 2003, 379–388

[130] Buslaev V., Budylin A., “Semiclassical pseudodifferential Operators with Discontinuous Symbols and their Applications to the Problems of Statistical Physics”, Amer. Math. Soc. Transl. (2), 220, Amer. Math. Soc., Providence, RI, 2007, 45–82 | MR

[131] Buslaev V., Komech A., Kopylova E., Stuart D., “On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator”, Comm. Partial Differential Equations, 33 (2008), 669–705 | DOI | MR | Zbl

[132] Buslaev V. S., Strazdin V. Yu., “Odnomernyi operator Shrëdingera na poluosi: differentsialnoe uravnenie dlya sobstvennykh funktsii otnositelno spektralnogo parametra, analog uravneniya Froida”, Funkts. anal. i ego pril., 41:3 (2007), 84–88 | DOI | MR | Zbl

[133] Buslaev V., Sulem C., “Linear adiabatic dynamics generated by operators with continuous spectrum. I”, Asympt. Anal., 58:1–2 (2008), 17–45 | MR | Zbl

[134] Buslaev V. S., Levin S. B. paper Uniform asymptotic of eigenfunctions for the three-body Schrödinger operator in one-dimensional case, Proc. of Joint Physics. Math. Workshop on Quantum Few-Body Systems (March 19–20, 2007, Aarhus, Denmark), AIP Conf. Proc., 998, Amer. Inst. Phys., New York, 2008, 101–112 | DOI | Zbl

[135] Buslaev V. S., Levin S. B., “Asymptotic behavior of the eigenfunctions of many-particle Schrödinger operator. I. One-dimensional particles”, Spectral Theory of Differential Operators, Amer. Math. Soc. Transl. (2), 225, Amer. Math. Soc., Providence, RI, 2008, 55–71 | MR | Zbl

[136] Buslaev V. S., Pozharskii A. A., “Usrednenie v zadache rasseyaniya”, Funkts. anal. i ego pril., 44:4 (2010), 2–13 | DOI | MR

[137] Buslaev V. S., Levin S. B., “Asimptoticheskoe povedenie sobstvennykh funktsii trekhchastichnogo operatora Shrëdingera. II, Odnomernye zaryazhennye chastitsy”, Algebra i analiz, 22:3 (2010), 60–79 | MR | Zbl

[138] Buslaev V. S., Levin S. B., Neittaannmaki P., Ojala T., “New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator. I, One-dimensional particles, short-range pair potentials”, J. Phys. A, 43:28 (2010), 285205, 17 pp. | DOI | MR | Zbl

[139] Buslaev V. S., Levin S. B., “Sistema trekh trekhmernykh zaryazhennykh kvantovykh chastits: asimptoticheskoe povedenie sobstvennykh funktsii nepreryvnogo spektra na beskonechnosti”, Funkts. anal. i ego pril., 46:2 (2012), 83–88 | DOI | MR

[140] Budylin A. M., Buslaev V. S., “Kvaziklassicheskie asimptotiki reshenii matrichnoi zadachi sopryazheniya s kvadratichnoi ostsillyatsiei vnediagonalnykh elementov”, Funkts. anal. i ego pril., 2013 (to appear)