时标上具有正负系数的中立型时超动力方程的强迫振动

数学季刊 ›› 2011, Vol. 26 ›› Issue (3): 466-469.

时标上具有正负系数的中立型时超动力方程的强迫振动

1. College of Science, Yanshan University 2. Mathematics Research Center in Hebei Province 3. Department of Politics Law, Shijiazhuang University

收稿日期:2008-01-04 出版日期:2011-09-30 发布日期:2023-04-24
作者简介:YANG Jun(1964- ), female, native of Pingdingshan, Henan, a professor of Yanshan University, Ph.D., engages in the theories and applications of the diﬀerential equations and diﬀerence equations and the qualitative theory of dynamic equations on measure chains.
基金资助:
Supported by the the NNSF of China(60404022,60604004)； Supported by the Special Projects in Mathematics Funded by Natural Science Foundation of Hebei Province(07M005)；

Forced Oscillation of Neutral Advanced Dynamic Equations with Positive and Negative Coeﬃcients on Time Scales

1. College of Science, Yanshan University 2. Mathematics Research Center in Hebei Province 3. Department of Politics Law, Shijiazhuang University

Received:2008-01-04 Online:2011-09-30 Published:2023-04-24
About author:YANG Jun(1964- ), female, native of Pingdingshan, Henan, a professor of Yanshan University, Ph.D., engages in the theories and applications of the diﬀerential equations and diﬀerence equations and the qualitative theory of dynamic equations on measure chains.
Supported by:
Supported by the the NNSF of China(60404022,60604004)； Supported by the Special Projects in Mathematics Funded by Natural Science Foundation of Hebei Province(07M005)；

摘要/Abstract

摘要： In this paper, we consider the forced neutral advanced dynamic equations with positive and negative coeffcients [x(t)-R(t)x(t+r)]+P(t)x(t+τ)△Q(t)x(t+δ)= f(t), t≥t₀ on a time scale T.S everal suffcient conditions are obtained for the oscillation of the dynamic equations. The main result is illustrated by an example.

关键词: time scales, forced, neutral, advanced, oscillation, positive and negative coefficients

Abstract: In this paper, we consider the forced neutral advanced dynamic equations with positive and negative coeffcients [x(t)-R(t)x(t+r)]+P(t)x(t+τ)△Q(t)x(t+δ)= f(t), t≥t₀ on a time scale T.S everal suffcient conditions are obtained for the oscillation of the dynamic equations. The main result is illustrated by an example.

Key words: time scales, forced, neutral, advanced, oscillation, positive and negative coefficients

中图分类号:

O175.15

杨军, 吴会宁. 时标上具有正负系数的中立型时超动力方程的强迫振动[J]. 数学季刊, 2011, 26(3): 466-469.

YANG Jun, WU Hui-ning. Forced Oscillation of Neutral Advanced Dynamic Equations with Positive and Negative Coeﬃcients on Time Scales[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 466-469.

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