摘要
微分方程Neumann边值问题是微分方程边值问题中比较典型的一类问题.对此问题,很多文献用拓扑度理论和不动点指数理论,Morse理论或用临界点理论为工具已经获得许多有关解的存在性及多解性的结果.文章使用对偶喷泉定理建立了一类Neumann边值问题解的存在性与多解性.
Ordinary differential equation Neumann boundary value problems are more general ones in boundary value problems.Many researchers studied these problems by employing the topological degree theory and fixed point index theory,by using Morse theory or the critical point theory and obtained the result of the existence and multiplicity of solutions.In this paper,existence and multiplicity results are obtained for one kind of Neumann boundary value problems by the dual fountain theorem.
出处
《太原师范学院学报（自然科学版）》
2011年第1期62-64,共3页
Journal of Taiyuan Normal University:Natural Science Edition
