Da-Xue Chen; Guang-Hui Liu

International Journal of Engineering and Manufacturing (IJEM)

IJEM Vol. 1, No. 6, 5 Dec. 2011

Cover page and Table of Contents: PDF (size: 343KB)

Oscillatory Behavior of a Class of Second-order Nonlinear Dynamic Equations on Time Scales

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Author(s)

Da-Xue Chen ^1,* Guang-Hui Liu ¹

1. College of Science Hunan Institute of Engineering 88 East Fuxing Road, Xiangtan 411104, Hunan, P. R. China

* Corresponding author.

DOI: https://doi.org/10.5815/ijem.2011.06.11

Received: 12 Aug. 2011 / Revised: 21 Sep. 2011 / Accepted: 26 Oct. 2011 / Published: 5 Dec. 2011

Index Terms

Oscillation, second-order nonlinear dynamic equation, time scale

Abstract

The paper is devoted to the oscillation of a class of second-order nonlinear dynamic equations on time scales. By developing a generalized Riccati transformation technique, we establish some oscillation criteria for all solutions of the equations. Our results improve and extend some known results in the literature.

Cite This Paper

Da-Xue Chen,Guang-Hui Liu,"Oscillatory Behavior of a Class of Second-order Nonlinear Dynamic Equations on Time Scales", IJEM, vol.1, no.6, pp.72-79, 2011. DOI: 10.5815/ijem.2011.06.11

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