positive solutions to generalized second-order three-point integral boundary-value problems
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ID: 249480
2011
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Abstract
In this article, by using Krasnoselskii's fixed point theorem, we obtain single and multiple positive solutions to the nonlinear second-order three-point integral boundary value problem $$displaylines{ u''(t)+a(t)f(u(t))=0,quad 0<t<T, cr u(0)=etaint_0^{eta}u(s)ds,quad alphaint_0^{eta}u(s)ds=u(T), }$$ where $0<eta<T$, $0<alpha<frac{2T}{eta^2}$, $0<eta<frac{2T-alphaeta^2}{eta(2T-eta)}$ are given constants. As an application, we give some examples that illustrate our results.
| Reference Key |
chasreechai2011electronicpositive
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| Authors | ;Saowaluk Chasreechai;Jessada Tariboon |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2011 |
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