Oscillation of nonlinear neutral dynamic equations on time scales

Document Type : Original Article

Authors

1 Department of Mathematics, Sambalpur University, Sambalpur 768019, India.

2 Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt.

3 Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA.

Abstract

The authors present necessary and sufcient conditions for the oscillation of a class of
second order non-linear neutral dynamic equations with non-positive neutral coeffcients by using Krasnosel’skii’s fxed point theorem on time scales. The nonlinear function may be strongly sublinear or strongly superlinear.

Keywords