一类共振条件下三阶多点边值问题解的存在性  

Existence of solutions for third-order multi-point boundary value problems at resonance

作　　者：王刚[1] 朱思念[1] 郑婷[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《黑龙江科技学院学报》2011年第1期81-84,共4页Journal of Heilongjiang Institute of Science and Technology

摘　　要：利用Mawhin的连续性定理及迭合度理论研究多点边值问题,讨论三阶非线性微分方程多点边值问题共振时解的存在性,获得解存在的充分条件,推广了现有的结果。This paper discusses the existence of solutions of multi-point boundary value problems for third-order nonlinear differetial equation at resonance by using Mawhin＇s continuous theorem and coincidence degree theory and features the sufficient conditions for the boundary value problems,generalizing known results.

关 键 词：非线性微分方程 多点边值问题 迭合度 

分 类 号：O175.8[理学—数学]