混合中立型方程渐近衰退正解的存在性

数学物理学报

混合中立型方程渐近衰退正解的存在性

蔡果兰;葛渭高

中央民族大学数学与计算机学院;北京理工大学数学系

收稿日期:2003-12-21 修回日期:2004-09-17 出版日期:2006-02-25 发布日期:2006-02-25
通讯作者: 蔡果兰
基金资助:
国家自然科学基金(10371006)

On the Existence of Asymptotically Decaying Positive Solutions

Cai Guolan;Ge Weigao

Department of mathematics, Central University for Nationalities;Department of mathematics, Beijing Institute of Technology;Department of mathematics, Beijing Institute of Technology

Received:2003-12-21 Revised:2004-09-17 Online:2006-02-25 Published:2006-02-25
Contact: Cai Guolan

摘要/Abstract

摘要： 该文利用Krasnoselskii不动点定理,讨论了一阶混合中立型微分方程[x(t)-cx(t-h)-c^*x(t+h^*)]'=p(t)x(g(t)),获得了方程在p\leq p(t)<0与0<p(t)\leq |p|\ (p<0常数)情形下存在渐近衰退正解的充分条件, 并利用此结果获得与相应常系数混合中立型微分方程的一个比较结果.

关键词: 混合中立型方程, 渐近衰退正解, 全连续, Krasnoselskii不动点定理

Abstract: In this paper, the authors study the first order neutral differential equation [x(t)-cx(t-h)-c^*x(t+h^*)]'=p(t)x(g(t)) by the Krasnoselskii fixed point theorem, and obtain some new sufficient conditions for existence of asymptotically decaying positive solutions of the first order neutral differential equation.

Key words: Mixed neutral differential equation, Asymptotically Decaying positive solution, Krasnoselskii fixed point theorem, Completely continuous

蔡果兰;葛渭高. 混合中立型方程渐近衰退正解的存在性[J]. 数学物理学报, 2006, 26(1): 136-142.

Cai Guolan;Ge Weigao. On the Existence of Asymptotically Decaying Positive Solutions[J]. Acta mathematica scientia,Series A, 2006, 26(1): 136-142.

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