Affiliation:
1. College of Mathematics and Statistics, Hubei Normal University, Hubei 435002, China
Abstract
The author investigates the fourth-order integral boundary value problem with two parametersu(4)(t)+βu′′(t)-αu(t)=f(t,u),t∈(0,1), u(0)=u(1)=0, u′′(0)=∫01u(s)ϕ1(s)ds,u′′(1)=∫01u(s)ϕ2(s)ds, where nonlinear term functionfis allowed to change sign. Applying the fixed point index theorem on cone together with the operator spectrum theorem, some results on the existence of positive solution are obtained.
Funder
Natural Science Foundation of Educational Committee of Hubei
Subject
Applied Mathematics,Analysis
Cited by
4 articles.
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