一类Φ-Laplacian多点边值问题的可解性  

Solvability of a Multi-point Boundary Value Problem for Φ-Laplacian

作　　者：代祖华[1,2] 

机构地区：[1]西安交通大学管理学院 [2]西北师范大学数学与信息学院,甘肃兰州730070

出　　处：《数学的实践与认识》2005年第4期188-196,共9页Mathematics in Practice and Theory

摘　　要：获得了一类Φ-Laplacian多点边值问题((u′) )′=f (t,u,u′) ,0 <t<1 ,u′(0 ) =0 ,u(1 ) =∑m- 2i=1aiu(ξi)在f满足一定非线性增长条件下的可解性定理,同时,定理对边值条件中ai的符号不作限制.这一结论是通过使用Leray-Schauder延拓定理建立的.In this paper,a solvability theorem for multi-point boundary problems of Φ-Laplacian equation (φ(u′))′=f(t,u,u′),0<t<1,u′(0)=0, u(1)=∑m-2i=1a_iu(ξ_i) is presented under nonlienar growth restriction conditions of f. At the same time, all of the a_is in the multi-point boundary condition have no any sign restriction. The result is obtained by employing Leray-Schauder continuation theorem.

关 键 词：Ф-Laplacian多点边值问题 Leray-Schauder延拓定理 非线性增长条件 可解性 

分 类 号：O175.8[理学—数学]