OSCILLATION OF SOLUTION TO SECOND-ORDER HALF-LINEAR DELAY DYNAMIC EQUATIONS ON TIME SCALES

Authors

Hongwu Wu, South China University of TechnologyFollow
Lynn Erbe, University of Nebraska-LincolnFollow
Allan Peterson, University of Nebraska-LincolnFollow

Document Type

Article

Date of this Version

3-15-2016

Citation

Electronic Journal of Differential Equations, Vol. 2016 (2016), No. 71, pp. 1{15. ISSN: 1072-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu ftp ejde.math.txstate.edu

Comments

2016 Texas State University

Abstract

This article concerns the oscillation of solutions to second-order half-linear dynamic equations with a variable delay. By using integral averaging techniques and generalized Riccati transformations, new oscillation criteria are obtained. Our results extend Kamenev-type, Philos-type and Li-type oscillation criteria. Several examples are given to illustrate our results.