一类非线性Sturm-Liouville方程正解的全局分歧  

Global Bifurcation of Positive Solutions of Some Nonlinear Sturm-Liouville Equation

作　　者：雷岩松[1] 

机构地区：[1]中国地质大学

出　　处：《应用数学与计算数学学报》1991年第1期33-39,共7页Communication on Applied Mathematics and Computation

摘　　要：本文利用分歧理论研究了一类Sturm-Liouville方程非平凡正解的存在性问题;在适当的假设下给出了正解存在的充分必要条件。同时还讨论了正解的唯一性和稳定性问题。In this paper we applied Bifurcation theory to investigate the positive solution problem of some nonlinear Sturm-Liouville equation. The necessary and sufficient condition of existence was given,and the uniquess and stability of positive solutions were considered.

关 键 词：非线性 S-L方程 分岐 正解 存在性 

分 类 号：O175.1[理学—数学]