Problems with mixed boundary conditions in Banach spaces

2016/07/24 by Santos, Dionicio Pastor Dallos
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.06994

Abstract

Using Leray-Schauder degree or degree for α-condensing maps we obtain the existence of at least one solution for the boundary value problem of the type \(φ(u' ))' = f(t,u,u') · amp; · amp;
u(T)=0=u'(0), · amp; · amp; . where φ: X→ X is a homeomorphism with reverse Lipschitz such that φ(0)=0, f:[0, T]× X × X → X is a continuous function, T a positive real number and X is a real Banach space.

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