摘要
本文考虑以下高阶多点边值问题：，其中关于f有非线性增长的情况，利用基于度理论的不动点定理，对上述边值问题建立了存在唯一性定理．
In this paper we condder the following higher order multipoint boUndare value PrOblem: ,where are given and . For the case that f has nonlinear growth, using certai thed pont theorem based on the degree theory, we establish the existene and uniqtieness theorems for the above problem. The results of the paper gen eralize and improve the main theorems both in the paPer[l] of Gupta and in the paper [2] of Gupta and Lakshmikantham.
出处
《应用数学》
CSCD
1997年第1期37-41,共5页
Mathematica Applicata
关键词
多点边值问题
非线性增长
边值问题
非线性项
Higher order multipoint boundary value problem
Nonlinear growth
Fixed point theorem
Existence and uniqueness theorem
