ASYMPTOTIC AND OSCILLATORY PROPERTIES OF NEUTRAL TYPE DIFFERENCE SYSTEMS

E. Thandapani (India), R. Arul (India) and S. Gunasekaran (India)

Received November 30, 2007

Abstract

In this paper the authors study the asymptotic and oscillatory behavior of neutral type difference systems. The necessary conditions for asymptotic and oscillatory properties of the system are discussed via fixed point theorem. Examples are provided to illustrate the results.

Keywords and phrases: neutral type difference system, oscillation, asymptotic behavior.