Oscillatory Solutions of Third-Order Nonlinear Differential Equations

  • G. Narendar Assistant Professor of Mathematics, Department of Humanities & Sciences, CVR College of Engineering, Vatunagar, Mangalpalli (V), Ibrahimpatnam (M), R.R.Dist, Telangana State, India.
  • G.Ramakrishna Rao Professor of Mathematics (Retd.) Jawaharlal Nehru Technological University, Kukatpally, Hyderabad-500 072, Telangana State, India.

Abstract

In this paper, we are concerned with the oscillation properties of third order nonlinear differential equations of the form (r(x)(r(x)y^1(x))^1)^1+q(x)y^1(x)+p(x)ylambda(x)=0, lambda>0 Some new sufficient conditions which ensure that every solution oscillates or converges to zero are established. The obtained results extend the result known in the literature for lambda=1. Some examples are considered to illustrate our main results.

Published
2015-12-31
Issue
Vol 9 (2015): CVR Journal of Science and Technology
Section
Articles
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