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.
出处
《数学的实践与认识》
CSCD
北大核心
2005年第4期188-196,共9页
Mathematics in Practice and Theory
