Geodesic
Trigonometric solutions of nonlinear first-order ordinary differential equations over a Banach algebra
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2011), pp. 30-43 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : matrices, Lie algebras. 
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V. P. Derevenskii. Trigonometric solutions of nonlinear first-order ordinary differential equations over a Banach algebra. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2011), pp. 30-43. http://geodesic.mathdoc.fr/item/IVM_2011_9_a3/

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