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OALib Journal期刊
ISSN: 2333-9721
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Positive solutions for boundary-value problems with integral boundary conditions on infinite intervals

Keywords: Cone , Avery-Peterson fixed point theorem , positive solution , integral boundary conditions , infinite interval

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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.

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