OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS

Abstract

In this work, we investigate the oscillation and nonoscillation of a class of second order neutral di erential equations with piecewise constant arguments of the form: ((r(t)(y(t) + p(t)y(t-1))')' + q(t)y([t-1]) = f(t); where [ ] denotes the greatest integer function.

Keywords

• Neutral dierential equation
• oscillation
• nonoscillation
• picewise-constant argument