摘要
讨论了有序Banach空间中的非线性二阶Dirichlet边值问题正解的存在性,并在非线性项满足一个易检验的序条件下,应用凝聚映射的拓扑度理论获得了该问题正解的存在性结果.
The existence of positive solutions for nonlinear second order Dirichlet boundary value problem in ordered Banach spaces is discussed. Under an order condition of nonlinear term which could be easily verified, the existence of positive solutions is proved by the topological degree theory of condensing mapping.
出处
《甘肃科学学报》
2004年第3期27-29,共3页
Journal of Gansu Sciences
关键词
抽象二阶边值问题
闭凸锥
凝聚映射
拓扑度
正解
Abstract second order boundary value problem
closed convex cone
condensing mapping
topological degree, positive solution
