Positive solutions for nonhomogeneous boundary value problems in banach spaces

摘要

By using Darbo fixed point theorem, the existence and nonexistence of fixed point are obtained for the following integral operatorTλy(t)=∫01G(t,s)f(s,y(s))ds+λtv.Using these results, we investigate the existence and nonexistence of positive solutions for second-order nonhomogeneous local and nonlocal boundary value problems in Banach spaces.