THE SOLUTIONS FOR SEMI-POSITONE BOUNDARY VALUE PROBLEMS WITH LINEAR FUNCTIONAL BOUNDARY CONDITIONS ON THE HALF-LINE

摘要

The theory of nonlocal boundary value problems for ordinary differential equations has become an important area of investigate in recent years. In this paper, we obtain a sufficient condition for at least three positive solutions to second-order differential equations with linear functional boundary conditions by using the Leggett-Williams fixed point theorem and varying in translation. The results obtained generalize some results to some degree.