|
Positive solutions for boundary-value problems with integral boundary conditions on infinite intervalsKeywords: Cone , Avery-Peterson fixed point theorem , positive solution , integral boundary conditions , infinite interval Abstract: In this article, we consider the existence of positive solutions for a class of boundary value problems with integral boundary conditions on infinite intervals $$displaylines{ (varphi_{p}(x'(t)))'+phi(t)f(t,x(t),x'(t))=0, quad 01$. By applying the Avery-Peterson fixed point theorem in a cone, we obtain the existence of three positive solutions to the above boundary value problem and give an example at last.
|