
arXiv: 1607.06994
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 following type: φu′′=ft,u,u′, u(T)=0=u′(0), where φ:X→X is a homeomorphism with reverse Lipschitz constant such that φ(0)=0, f:0,T×X×X→X is a continuous function, T is a positive real number, and X is a real Banach space.
Fixed-point theorems, Nonlinear boundary value problems for ordinary differential equations, Applications of operator theory to differential and integral equations, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics
Fixed-point theorems, Nonlinear boundary value problems for ordinary differential equations, Applications of operator theory to differential and integral equations, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics
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