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Start Over Subject multivalued boundary value problem

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

Creator:
Benedetti, Irene, Malaguti, Luisa, and Taddei, Valentina
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
multivalued boundary value problem, differential inclusion in Banach space, compact operator, and fixed point theorem
Language:
English
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.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public