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A generalization of Krasnosel’skii fixed point theorem for sums of compact and contractible maps with application

100%

Przeradzki B.

Open Mathematics

2012

tom 10

nr 6

2012-2018

The existence of a fixed point for the sum of a generalized contraction and a compact map on a closed convex bounded set is proved. The result is applied to a kind of nonlinear integral equations.

Local attractivity in nonautonomous semilinear evolution equations

88%

Blot J., Buşe C., Cieutat P.

Nonautonomous Dynamical Systems

2014

tom 1

nr 1

We study the local attractivity of mild solutions of equations in the form u’(t) = A(t)u(t) + f (t, u(t)), where A(t) are (possible) unbounded linear operators in a Banach space and where f is a (possible) nonlinear mapping. Under conditions of exponential stability of the linear part, we establish the local attractivity of various kinds of mild solutions. To obtain these results we provide several results on the Nemytskii operators on the space of the functions which converge to zero at infinity

Ograniczanie wyników

1 Nonautonomous Dynamical Systems

1 Open Mathematics

1 Blot J.

1 Buşe C.

1 Cieutat P.

1 Przeradzki B.

1 2014

1 2012

Wyniki wyszukiwania

A generalization of Krasnosel’skii fixed point theorem for sums of compact and contractible maps with application

Local attractivity in nonautonomous semilinear evolution equations