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

作　　者：张海娥[1] 

机构地区：[1]唐山学院基础教学部,河北唐山063000

出　　处：《数学的实践与认识》2012年第23期262-266,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10801068);唐山学院教育科学研究基金(120186)

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.In this paper, .we are concerned with the following singular third-order nonlocal boundary value problem with integral boundary condition. Under various assumptions on nonlinear 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 well- known Guo-Krasnoselskii＇s fixed point theorem.

关 键 词：奇异 非局部 单调正解 

分 类 号：O175.8[理学—数学]