OSCILLATION OF NONLINEAR SECOND ORDER NEUTRAL DELAY DYNAMIC EQUATIONS ON TIME SCALES

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 45, Issue 2, 2008, pp.299-312
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2008.45.2.299

Title & Authors

OSCILLATION OF NONLINEAR SECOND ORDER NEUTRAL DELAY DYNAMIC EQUATIONS ON TIME SCALES

Agwo, Hassan A.;

Agwo, Hassan A.;

Abstract

In this paper, we establish some oscillation criteria for nonautonomous second order neutral delay dynamic equations on a time scale . Oscillatory behavior of such equations is not studied before. This is a first paper concerning these equations. The results are not only can be applied on neutral differential equations when , neutral delay difference equations when and for neutral delay q-difference equations when for q>1, but also improved most previous results. Finally, we give some examples to illustrate our main results. These examples arc [lot discussed before and there is no previous theorems determine the oscillatory behavior of such equations.

Keywords

oscillation;time scales;neutral delay;dynamic equation;

Language

English

Cited by

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