Necessary and sufficient conditions for oscillation of solution of scalar difference equations
by Yutaka Shoukaku
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 7, No. 3, 2017

Abstract: The purpose of this paper is to derive necessary and sufficient conditions for the oscillation of all solutions of the difference equation. In this paper, by letting e^λn be a solution of the difference equation, we obtain a fundamental proof of the result that every solution of the difference equation oscillates if and only if the characteristic equation has no real root.

Online publication date: Mon, 18-Sep-2017

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