三阶奇异边值问题对称正解的最优存在性(英文)  

Optimal Existence Criteria for Symmetric Positive Solutions of Third-order Singular Boundary Value Problems

作　　者：孙彦[1] 曾六川[1] 

机构地区：[1]上海师范大学数理信息学院,上海200234

出　　处：《工程数学学报》2010年第4期747-752,共6页Chinese Journal of Engineering Mathematics

基　　金：Found of Shanghai Municipal Education Commission(DZL803;10YZ77)

摘　　要：本文利用Leggett-Williams不动点定理,通过构造特殊的锥,得到了三阶奇异边值问题三个对称正解最优存在性的新结果,最后,通过具体的例子说明了我们所得结果的有效性。In this paper, based on the Leggett-Williams fixed point theorem together with constructing a special cone, some new optimal existence results of triple symmetric positive solutions of third-order singular boundary value problems are obtained. Finally, an example demon-strates the validity of the main results.

关 键 词：对称正解 存在性 边值问题 

分 类 号：O175.8[理学—数学]