具有p-Laplace算子的积分微分方程积分边值问题正解的存在性  

Existence of positive solutions of integral boundary value problems for nonlinear integro-differential equations with p-Laplacian

作　　者：王平友[1] 贾梅[1] 窦丽霞[1] 金京福[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2011年第4期391-396,共6页Journal of University of Shanghai For Science and Technology

基　　金：上海市教育委员会科研创新基金重点资助项目(10ZZ93)

摘　　要：研究了带有p-Laplace算子的微分积分方程积分边值问题正解的存在性,利用范数形式的锥拉伸与锥压缩不动点定理,得到了边值问题至少存在一个正解的结论.The existence of positive solution of integral boundary value problems for nonlinear integro-differential equations with the one-dimensional p-Laplacian was studied. By using the expansion and compression fixed point theorem of norm in cone, the existence of at least one positive solution for this kind of integral boundary value problems was concluded.

关 键 词：积分边值问题 不动点定理 正解 锥 

分 类 号：O175.8[理学—数学]