Oscillation Theorems for Second-Order Nonlinear Dynamic Equation on Time Scales

Authors

M.Tamer Şenel, Department of Mathematics, Faculty of Sciences, Erciyes University, 38039, Kayseri, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

This paper concerns the oscillation of solutions to the second order non-linear dynamic equation (r(t)xD (t))D + p(t) f (xs (t))g(xD (t)) = 0 on a time scale T which is unbounded above. By using a generalized Riccati transformation and integral averaging technique, we establish some new sufficient conditions which ensure that every solution of this equation oscillates.

Suggested Reviewers

N/A

Recommended Citation

Şenel, M.Tamer (2013) "Oscillation Theorems for Second-Order Nonlinear Dynamic Equation on Time Scales," Applied Mathematics & Information Sciences: Vol. 07: Iss. 6, Article 8.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss6/8