Hyperbolic functions and first-order nonlinear ordinary differential equations over a Banach algebra
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2006), pp. 7-18.

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