OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DYNAMIC EQUATIONS WITH p-LAPLACIAN AND DAMPING

doi:10.1016/S0252-9602(13)60056-9

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (4): 975-988.doi: 10.1016/S0252-9602(13)60056-9

OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DYNAMIC EQUATIONS WITH p-LAPLACIAN AND DAMPING

Taher S. HASSAN|Qingkai KONG

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt； Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA

收稿日期:2012-06-04 出版日期:2013-07-20 发布日期:2013-07-20
基金资助:
The second author is supported in part by the NNSF of China (10971231 and 11271379).

OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DYNAMIC EQUATIONS WITH p-LAPLACIAN AND DAMPING

Taher S. HASSAN|Qingkai KONG

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt； Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA

Received:2012-06-04 Online:2013-07-20 Published:2013-07-20
Supported by:
The second author is supported in part by the NNSF of China (10971231 and 11271379).

摘要/Abstract

摘要：

This paper concerns the oscillation of solutions of the second order nonlinear dynamic equation with p-Laplacian and damping
(r(t)φ_α(x^Δ(t))^Δ+ p (t)φ_α(x^Δα(t)+ q(t)f (x^α(t)) = 0
on a time scale T which is unbounded above. Sign changes are allowed for the coefficient functions r, p and q. Several examples are given to illustrate the main results.

关键词: oscillation, dynamic equations, time scales

Abstract:

中图分类号:

34K11

Taher S. HASSAN, Qingkai KONG. OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DYNAMIC EQUATIONS WITH p-LAPLACIAN AND DAMPING[J]. 数学物理学报(英文版), 2013, 33(4): 975-988.

Taher S. HASSAN, Qingkai KONG. OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DYNAMIC EQUATIONS WITH p-LAPLACIAN AND DAMPING[J]. Acta mathematica scientia,Series B, 2013, 33(4): 975-988.

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OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DYNAMIC EQUATIONS WITH p-LAPLACIAN AND DAMPING

OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DYNAMIC EQUATIONS WITH p-LAPLACIAN AND DAMPING

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