Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Existence of different kind of solutions for discrete time equations

100%

Pennequin D.

Nonautonomous Dynamical Systems

2014

tom 1

nr 1

The aim of this paper is to extend the classical linear condition concerning diagonal dominant bloc matrix to fully nonlinear equations. Even if assumptions are strong, we obtain an explicit condition which exactly extend the one known in linear case, and the setting allows also to consider bicontinuous operator instead of the schift and as particular case, we receive periodic or almost periodic solutions for discrete time equations.

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

On \(C^{(n)}\)-Almost Periodic Solutions to Some Nonautonomous Differential Equations in Banach Spaces

51%

Baillon J.-B., Blot J., N'Guérékata G. M., Pennequin D.

Commentationes Mathematicae

2006

tom 46

nr 2

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

Ograniczanie wyników

1 Commentationes Mathematicae

1 Nonautonomous Dynamical Systems

2 Pennequin D.

1 Baillon J.-B.

1 Blot J.

1 N'Guérékata G. M.

1 2014

1 2006

Wyniki wyszukiwania

Existence of different kind of solutions for discrete time equations

On \(C^{(n)}\)-Almost Periodic Solutions to Some Nonautonomous Differential Equations in Banach Spaces