Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_2006_8_a1, author = {V. P. Derevenskii}, title = {Hyperbolic functions and first-order nonlinear ordinary differential equations over a {Banach} algebra}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {7--18}, publisher = {mathdoc}, number = {8}, year = {2006}, language = {ru}, url = {https://geodesic-test.mathdoc.fr/item/IVM_2006_8_a1/} }
TY - JOUR AU - V. P. Derevenskii TI - Hyperbolic functions and first-order nonlinear ordinary differential equations over a Banach algebra JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2006 SP - 7 EP - 18 IS - 8 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/IVM_2006_8_a1/ LA - ru ID - IVM_2006_8_a1 ER -
%0 Journal Article %A V. P. Derevenskii %T Hyperbolic functions and first-order nonlinear ordinary differential equations over a Banach algebra %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2006 %P 7-18 %N 8 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/IVM_2006_8_a1/ %G ru %F IVM_2006_8_a1
V. P. Derevenskii. Hyperbolic functions and first-order nonlinear ordinary differential equations over a Banach algebra. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2006), pp. 7-18. https://geodesic-test.mathdoc.fr/item/IVM_2006_8_a1/
[1] Krein S. G., Funktsionalnyi analiz, Nauka, M., 1972, 554 pp. | MR | Zbl
[2] Arnold V. I., Dopolnitelnye glavy teorii obyknovennykh differentsialnykh uravnenii, Nauka, M., 1971, 240 pp. | MR
[3] Wilcox R. M., “Exponential operators and parameter differentiation in quantum physics”, J. Math. Phys., 8:4 (1967), 962–982 | DOI | MR | Zbl
[4] Magnus W., “On the exponential solution of differential equations for a linear operator”, Commun. on pure appl. math., VII (1954), 649–673 | DOI | MR
[5] Dzhekobson N., Algebry Li, Mir, M., 1964, 355 pp. | MR
[6] Eizenkhart L. P., Nepreryvnye gruppy preobrazovanii, In. lit., M., 1947, 359 pp.
[7] Petrov A. Z., Prostranstva Einshteina, GIFML, M., 1961, 463 pp. | MR
[8] Derevenskii V. P., “Integriruemost uravneniya Rikkati i lineinogo odnorodnogo differentsialnogo uravneniya vtorogo poryadka”, Izv. vuzov. Matematika, 1987, no. 5, 33–40 | MR
[9] Derevenskii V. P., “Matrichnye lineinye differentsialnye uravneniya vysshikh poryadkov”, Differents. uravneniya, 29:4 (1993), 711–714