Existence Results for a Fully Fourth-Order Boundary Value Problem

الملخص EN

We discuss the existence of solution for the fully fourth-order boundary value problem u(4)=f(t,u,u′,u′′,u′′′), 0≤t≤1, u(0)=u(1)=u′′(0)=u′′(1)=0.

A growth condition on f guaranteeing the existence of solution is presented.

The discussion is based on the Fourier analysis method and Leray-Schauder fixed point theorem.