Oscillation of higher order nonlinear dynamic equations on time scales

Download

10.11861687-1847-2012-67.pdf

Date

2012-5-23

Author

Grace, Said R
Agarwal, Ravi P
Zafer, Ağacık

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

197
views

113
downloads

Some new criteria for the oscillation of nth order nonlinear dynamic equations of the form x(Delta n) (t) + q (t) (x(sigma) (xi (t)))(lambda) = 0 are established in delay xi(t) a parts per thousand currency sign t and non-delay xi(t) = t cases, where n a parts per thousand yen 2 is a positive integer, lambda is the ratio of positive odd integers. Many of the results are new for the corresponding higher order difference equations and differential equations are as special cases.

Subject Keywords

Oscillation, Neutral, Time scale, Higher order

URI

https://hdl.handle.net/11511/51181

Journal

Advances in Difference Equations

DOI

https://doi.org/10.1186/1687-1847-2012-67

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Oscillation of fourth-order nonlinear neutral delay dynamic equations Grace, S. R.; Zafer, Ağacık (2015-04-01) In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form (a(t)([x(t) - p(t) x(h(t))](Delta Delta Delta))(alpha))(Delta) + q(t)x(beta)(g(t)) = 0, t is an element of [t(0),infinity) T, where alpha and beta are quotients of positive odd integers with beta <= alpha.
Oscillation criteria for even order neutral differential equations Zafer, Ağacık (1998-05-01) Oscillation criteria are given for even order neutral type differential equations of the following form
Oscillatory behavior of integro-dynamic and integral equations on time scales Grace, S. R.; Zafer, Ağacık (2014-02-01) By making use of asymptotic properties of nonoscillatory solutions, the oscillation behavior of solutions for the integro-dynamic equation
Oscillation of second-order nonlinear differential equations with nonlinear damping Tiryaki, A; Zafer, Ağacık (2004-01-01) This paper is concerned with the oscillation of a class of general type second-order differential equations with nonlinear damping terms. Several new oscillation criteria are established for such a class of differential equations under quite general assumptions. Examples are also given to illustrate the results.
Forced Oscillation of Second-Order Impulsive Differential Equations with Mixed Nonlinearities ÖZBEKLER, ABDULLAH; Zafer, Ağacık (2011-07-08) In this paper we give new oscillation criteria for a class of second-order mixed nonlinear impulsive differential equations having fixed moments of impulse actions. The method is based on the existence of a nonprincipal solution of a related second-order linear homogeneous equation.

Citation Formats

S. R. Grace, R. P. Agarwal, and A. Zafer, “Oscillation of higher order nonlinear dynamic equations on time scales,” Advances in Difference Equations, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51181.