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

Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (3): 466-469.

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)；

Abstract

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

CLC Number:

O175.15

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.

[1]	ZHANG Yi-ran, WANG Xiu-mei. Characterizations of Cycle-Forced 2-Connected Claw-Free Cubic Graphs [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(4): 432-440.
[2]	YOU Xue-xiao, ZHAO Da-fang, CHENG Jian. On Conformable Delta Fractional Derivative on Time Scales [J]. Chinese Quarterly Journal of Mathematics, 2017, 32(2): 208-215.
[3]	YANG Jia-shan. Oscillation of Third-order Delay Dynamic Equations on Time Scales [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(3): 447-456.
[4]	HUANG Xian-yong, XU Zhi-ting. Oscillation of a Second-order Impulsive Neutral Diﬀerential Equation [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 592-604.
[5]	YANG Jia-shan. Oscillation of Second-order Nonlinear Dynamic Equation on Time Scales [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 172-179.
[6]	ZHANG Feng-pan, LU Jin-rui, LIU Zhi-guang. Oscillatory Gene Expression by the microRAN Mediating Delayed Negative Feedback Loop [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 303-310.
[7]	HONG Peng-hua, WENG Pei-xuan. Attractivity and Oscillation of Almost-periodic Solution for a Discrete Model of Hematopoiesis [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(1): 20-26.
[8]	ZHOU Zong-fu, ZENC Li, JIA Bao-rui, XU Jian-zhong. Periodic Solutions for a Class of Neutral Functional Differential Equations with Distributed and Discrete Delays [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(4): 485-494.
[9]	LIU De-hua, ZHAO Da-fang.. On the McShane Integral on Time Scales [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(4): 556-561.
[10]	ZHANG Meng, SONG Guo-hua. Further Oscillation Results for a Class of Hyperbolic Equations with Continuous Distributed Deviating Arguments [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(1): 145-151.
[11]	YANG Jia-shan, SUN Wen-bing. Bounded Oscillation for Second-order Nonlinear Difference Equation with Variable Delay [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(4): 516-520.
[12]	LI Yuan-dan, LUO Li-ping, YU Yuan-hong. New Criteria for Oscillation of Vector Parabolic Equations with Continuous Distribution Arguments [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 260-264.
[13]	ZHANG Wei-peng, ZHU De-ming. Interval Criteria for Oscillation of Certain Second-order Nonlinear Differential Equations [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(4): 500-509.
[14]	LIN Wen-Tian. Remarks on Oscillation for Systems of High Order Partial Differential Equations of Neutral Type [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(4): 537-542.
[15]	CHEN Xing-rong, PAN Li-jun. Oscillation Criteria for Second-order Half-linear Impulsive Differential Equations with Damping [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(4): 614-620.

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

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments