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 (φ(u' ))' = f(t,u,u'), u'(0)=u(0), u'(T)= bu'(0), where φis a homeomorphism such that φ(0)=0, f is a continuous function, and T a positive real number and b some non zero real number.

arXiv comment14 pages. arXiv admin note: substantial text overlap with arXiv:1606.00078