非线性微分方程三阶三点边值问题两个正解的存在性OACSTPCD
Existence of Two Positive Solutions for Third-Order Three-Point Boundary Value Problems of Nonlinear Differential Equations
考虑以下三阶三点边值问题：u‴(t)+a(t)f(u(t))=0,t∈(0,1)；u(0)= u″(0)=0,u′(1)-αu(η)=λ,其中0<η<1,0<α<1/η,λ∈(0,¥),通过建立相关线性边值问题的格林函数得到解的形式,运用不动点指数理论建立了上述边值问题至少两个正解的存在性准则。
We concerned with the following third-order three-point boundary value problem u‴(t)+a(t)f(u(t))=0, t∈(0,1),u(0)=u″(0)=0, u′(1)-αu(η)=λ,{where 0<η<1,0<α<1/η,λ∈(0,¥) is a parameter. By establishing Green function for the associated linear boundary value problem, the solution for the above boundary value problem is obtained. Then the existence criterion of at least two positive solutions for the above boundary value problem is obtained by using fix…查看全部>>
郭丽君
兰州交通大学博文学院，甘肃 兰州 730101
数理科学
三阶三点边值问题正解存在性锥格林函数不动点指数理论
third-order three-point boundary value problempositive solutionexistenceconeGreen functionfixed point index theorem
《北华大学学报（自然科学版）》 2016 (5)
566-571,6
甘肃省高等学校科研项目教育厅立项(项目编号:2015B-214)
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