Volterra积分微分方程周期正解的一个新的存在性理论

数学物理学报 ›› 2005, Vol. 25 ›› Issue (3): 367-373.

Volterra积分微分方程周期正解的一个新的存在性理论

万阿英, 林晓宁, 蒋达清

呼伦贝尔学院数学系,东北师范大学数学系

出版日期:2005-07-24 发布日期:2005-07-24
基金资助:
国家自然科学基金（10171010）资助

A New Existence Theory for Positive Periodic Solutions to Volterra Integro differential Equations

MO A-Yang, LIN Xiao-Ning, JIANG Da-Qing

Online:2005-07-24 Published:2005-07-24
Supported by:
国家自然科学基金（10171010）资助

摘要/Abstract

摘要：

该文通过使用锥不动点定理,研究了一类非自治Volterra积分微分方程周期正解的一个新的存在性理论,把一般结果应用于几类具时滞的生物数学模型时,改进了一些已知结果,并得到了一些新的结果.

关键词: Volterra积分微分方程,存在性,周期正解,不动点定理

Abstract:

This paper deals with a new existence theory for positive periodic solutions to a kind of nonautonomous Volterra integro differential equations by employing a fixed point theorem in cones. App lying the general theorems established to several biomathematical models, the paper improves some previous results and obt ains some new results.

Key words: Volterra integro differential equation, Existence, Posi tive periodic solution, , Fixed point , theorem

中图分类号:

34K20

万阿英, 林晓宁, 蒋达清. Volterra积分微分方程周期正解的一个新的存在性理论[J]. 数学物理学报, 2005, 25(3): 367-373.

MO A-Yang, LIN Xiao-Ning, JIANG Da-Qing. A New Existence Theory for Positive Periodic Solutions to Volterra Integro differential Equations[J]. Acta mathematica scientia,Series A, 2005, 25(3): 367-373.

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