Oscillation Properties of an Emden-Fowler Type Equation on Discrete Time Scales

Abstract

In this paper, we explore the oscillation properties of

on a time scale T with only isolated points, where p(t) is defined on T and γ is a quotient of odd positive integers. We define oscillation in this setting, and generate conditions on the integral of p(t) which guarantee oscillation and find conditions which give the existence of a nonoscillatory solution. In addition, we consider the case when solutions of this equation has asymptotically positively bounded differences.

Keywords:

• Time scale
• Oscillation
• Nonlinear
• 39A13
• 93C70

Notes

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