机构地区: 中国矿业大学理学院
出 处: 《黑龙江科技学院学报》 2011年第1期81-84,共4页
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.