OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES

doi:10.1016/S0252-9602(06)60031-3

数学物理学报(英文版)

OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES

刘爱莲; 吴洪武; 朱思铭; Ronald M. Mathsen

中山大学数学系, 广州 510275

收稿日期:2003-07-28 修回日期:2003-12-24 出版日期:2006-01-20 发布日期:2006-01-20
通讯作者: 刘爱莲
基金资助:
Project supported by the National Education Committee Doctoral Foundation of China (20020558092)

OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES

Liu Ailian; Wu Hongwu; Zhu Siming; Ronald M. Mathsen

Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China

Received:2003-07-28 Revised:2003-12-24 Online:2006-01-20 Published:2006-01-20
Contact: Liu Ailian

摘要/Abstract

摘要：

The article is concerned with oscillation of nonautonomous neutral dynamic delay equations on time scales. Sufficient conditions are established for the existence of bounded positive solutions and for oscillation of all solutions of this equation. Some results extend known results for difference equations when the time scale is the set bZ⁺ of positive integers and for differential equations when the time scale is the set R of real numbers.

关键词: Time scale, Delta-derivative, neutral delay equation, oscillation

Abstract:

Key words: Time scale, Delta-derivative, neutral delay equation, oscillation

中图分类号:

34K11

刘爱莲; 吴洪武; 朱思铭; Ronald M. Mathsen. OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES[J]. 数学物理学报(英文版), 2006, 26(1): 99-106.

Liu Ailian; Wu Hongwu; Zhu Siming; Ronald M. Mathsen. OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES[J]. Acta mathematica scientia,Series B, 2006, 26(1): 99-106.

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OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES

OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES

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