Oscillatory behavior of solutions of third-order delay and advanced dynamic equations

Author:

Adıvar Murat,Akın Elvan,Higgins Raegan

Abstract

Abstract In this paper, we consider oscillation criteria for certain third-order delay and advanced dynamic equations on unbounded time scales. A time scale "Equation missing" is a nonempty closed subset of the real numbers. Examples will be given to illustrate some of the results. MSC:34N05, 39A10, 39A21.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference12 articles.

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2. Bohner M, Peterson A (Eds): Advances in Dynamic Equations on Time Scales. Birkhäuser Boston, Boston; 2003.

3. Agarwal RP, Grace SR, Wong PJY: On the oscillation of third order nonlinear difference equations. J. Appl. Math. Comput. 2010,32(1):189-203. 10.1007/s12190-009-0243-8

4. Agarwal RP, Grace SR, Wong PJY: Oscillation of certain third order nonlinear functional differential equations. Adv. Dyn. Syst. Appl. 2007,2(1):13-30.

5. Erbe L, Peterson A, Saker SH: Oscillation and asymptotic behavior of a third-order nonlinear dynamic equation. Can. Appl. Math. Q. 2006,14(2):129-147.

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