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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 9, Pages 30–43 (Mi ivm7928)  
Trigonometric solutions of nonlinear first-order ordinary differential equations over a Banach algebra

V. P. Derevenskii

Chair of Higher Mathematics, Kazan State Architecture and Building University, Kazan, Russia
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Abstract: In this paper we continue the study initiated in the recent paper (see Russian Mathematics (Iz. VUZ) 50 (8), 5–17 (2006)). We determine differentiation formulas for basic trigonometric functions and describe classes of nonlinear first-order ordinary differential equations (ODE.1) over a finite-dimensional Banach algebra whose solutions are the mentioned functions.
Keywords: differential equations, matrices, Lie algebras.
Received: 12.07.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 9, Pages 24–36
DOI: https://doi.org/10.3103/S1066369X11090040
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: V. P. Derevenskii, “Trigonometric solutions of nonlinear first-order ordinary differential equations over a Banach algebra”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 9, 30–43; Russian Math. (Iz. VUZ), 55:9 (2011), 24–36
Citation in format AMSBIB
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\paper Trigonometric solutions of nonlinear first-order ordinary differential equations over a~Banach algebra
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 9
\pages 30--43
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\transl
\jour Russian Math. (Iz. VUZ)
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\issue 9
\pages 24--36
\crossref{https://doi.org/10.3103/S1066369X11090040}
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