Oscillatory Behavior for Certain Theorems and Examples of Higher order Nonlinear Delay Differential Equations

Year 2018, Volume: 6 Issue: 1, 7 - 16, 15.04.2018

S. Balamuralitharan

Abstract

In this paper the oscillatory behaviour of higher order nonlinear delay differential equation theorems and examples are investigated. Some new oscillatory main results of higher order nonlinear delay differential equations are given. We discuss the relation of Riccati transformation of the nonlinear delay differential equation to studying properties of the two higher order differential equations. Furthermore, an average integrating method is introduced as a asymptotic approach to study the oscillatory behavior. Some results are extended to nonlinear delay differential equations of any order. An example is also discussed, to illustrate the efficiency of the results obtained.

Keywords

oscillatory, higher order nonlinear delay differential equations

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