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Some Oscillation Results for First Order Basic Partial Dynamic Equation on Time Scales

Deniz Uçar, Yaşar Bolat


In recent years there has been much research activity concerning the oscillation and nonoscillation of solutions of dynamic equations on time scales. The theory of time scales, which has recently received attention, was introduced by Stefan Hilger in his PhD thesis in 1988 in order to create a theory that can unify discrete and continuous analysis. In this work, we consider a basic partial dynamic equation on time scales and give new results for oscillation of all solutions of the equation (1.2). We illustrate our results by applying them to variouskinds of time scales.


Time Scale, Partial Dynamic Equation, Oscillation.

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