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带参数的非线性奇异三阶非局部边值问题的单调正解
Monotone Positive Solutions for Nonlinear Singular Third-order Nonlocal BVPs with Parameter
【摘要】 运用Guo-Krasnoselskii不动点定理研究了带积分边界条件的奇异三阶非局部边值问题,在非线性项满足适当的条件下建立了关于参数的区间,得到了边值问题至少存在一个或两个单调正解的若干存在性结果.
【Abstract】 In this paper,we are concerned with the following singular third-order nonlocal boundary value problem with integral boundary condition.Under various assumptions on nonhnear terms,we establish intervals of a parameter which yield the existence of at least one,two monotone positive solutions of the boundary value problem by applying the wellknown Guo-Krasnoselskii’s fixed point theorem.
【基金】 国家自然科学基金(10801068);唐山学院教育科学研究基金(120186)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2012年23期
- 【分类号】O175.8
- 【被引频次】1
- 【下载频次】44