n阶时滞微分方程的正解(英文)  

Positive Solutions for an nth-Order Delay Differential Equation

作　　者：路秋英[1] 朱德明[1] 

机构地区：[1]华东师范大学数学系,上海200062

出　　处：《华东师范大学学报（自然科学版）》2007年第5期20-33,共14页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(10371040)

摘　　要：研究n阶时滞微分方程的非线性特征值问题以及超线性的Semipositone问题,推广了以往的结果.主要结果的证明应用了Guo-Krasnoselskii不动点定理.This paper dealt with the existence of positive solutions for the nonlinear eigenvalue problem and the superlinear semipositone problem of an nth-order delay differential equation. The main results in this paper generalize some of the existing results in the literature. The proofs are based on the well-known Guo-Krasnoselskii fixed-point theorem.

关 键 词：正解 非线性n阶时滞微分方程 锥不动点定理 边界值问题 Semipositone问题 

分 类 号：O175.14[理学—数学]