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

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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