On C(n)- almost periodic solutions to some nonautonomous differential equations in Banach spaces

• Autorzy: Baillon J-B. , Blot J. , N'Guérékata G.M. , Pennequin D.
• Języki publikacji: EN

Abstrakty

EN

In this paper we prove the existence and uniqueness of C(n)-almost periodic solutions to the nonautonomous ordinary differential equation x'(t) = A(t) x(t)+f(t), t c R, where A(t) generates an exponentially stable family of operators [...] -almost periodic function with values in a Banach space X. We also study a Volterra-like equation with a C(n)-almost periodic solution.

Słowa kluczowe

EN

C(n)-almost periodic function; family of bounded operators; exponentially stable; Acquistapace-Terreni conditions; uniform spectrum of bounded functions

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2006
• Tom: Vol. 46, [Z] 2
• Strony: 263--273
• Opis fizyczny: bibliogr. 27 poz.

Twórcy

autor

Baillon J-B.

autor

Blot J.

autor

N'Guérékata G.M.

autor

Pennequin D.

• Universite Paris 1 Pantheon-Sorbonne, Laboratoire Marin MERSENNE Centre P.M.F., 90 rue de Tolbiac, 75647 PARIS Cedex 13, FRANCE,

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