高阶抽象边值问题的可解性  

Solvabilityy of Higher-Order Boundary Value Problems

作　　者：胡适耕[1] 洪世煌[1] 

机构地区：[1]华中理工大学数学系

出　　处：《华中理工大学学报》1995年第A01期89-93,共5页Journal of Huazhong University of Science and Technology

摘　　要：考虑Ｂａｎａｃｈ空间中形如的边值问题，利用Ｇｒａｎａｓ的拓扑横截性定理给出上述问题有解的某些充分条件。Boundary value problems in the form Bx=ξ'hBanachspace are studied. The maom tool used is the topological transversal-ity theorem by Granas based on the concept of essential mapping,By this theorem,some sufficient conditions for the existence of solutions for the boundary value problem consldered are given. Although the study takes a hint from some results attributable to Lee and O' Re-gan,the results and methods by the authors are substantially different from those in the work of Lee and O' Regan.

关 键 词：抽象 边值问题 拓扑横截性 本质映射 

分 类 号：O175.8[理学—数学]