Problems with classic homeomorphisms and three-point boundary conditions

Abstract

Using Leray-Schauder degree theory we study the existence of at least one solution for the boundary value problem of the type ((u' ))' = f(t,u,u'), u'(0)=u(0), u'(T)= bu'(0), where is a homeomorphism such that (0)=0, f is a continuous function, and T a positive real number and b some non zero real number.

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