共振条件下三阶三点边值问题解的存在性  

Existence of solutions for third-order three-points boundary value problems at resonance

作　　者：沈立[1] 刘锡平[1] 卢振花[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》2010年第1期69-72,共4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：研究了共振条件下三阶非线性常微分方程三点边值问题解的存在性,利用Mawhin连续引理,得到了解存在的充分条件.The existence of solutions for third-order three-points boundary value problems at resonance was considered with the help of Mawhin continuation theorem, and the sufficient conditions for the bondary value problems was obtained.

关 键 词：共振条件 三阶三点边值问题 Mawhin连续引理 先验界估计 

分 类 号：O175.8[理学—数学]