Boundary value problem for differential inclusions in Fréchet spaces with multiple solutions of the homogeneous problem

Title:

Boundary value problem for differential inclusions in Fréchet spaces with multiple solutions of the homogeneous problem

Creator:

Benedetti, Irene, Malaguti, Luisa, and Taddei, Valentina

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:100937a1-0f3a-4deb-8877-04890c1918b4
uuid:100937a1-0f3a-4deb-8877-04890c1918b4
doi:10.21136/MB.2011.141696

Subject:

multivalued boundary value problem, differential inclusion in Banach space, compact operator, and fixed point theorem

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The paper deals with the multivalued boundary value problem x ′ ∈ A(t,x)x + F(t,x) for a.a. t ∈ [a, b], Mx(a) + Nx(b) = 0, in a separable, reflexive Banach space E. The nonlinearity F is weakly upper semicontinuous in x. We prove the existence of global solutions in the Sobolev space W1,p([a, b], E) with 1 < p < ∞ endowed with the weak topology. We consider the case of multiple solutions of the associated homogeneous linearized problem. An example completes the discussion.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

367-375

Source:

Mathematica bohemica | 2011 Volume:136 | Number:4

Harvested from:

CDK

Metadata only:

false