Oscillation of integro-dynamic equations on time scales

Date

2013-04-01

Author

Grace, Said R.
Graef, John R.
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

235
views

0
downloads

In this paper, the authors initiate the study of oscillation theory for integro-dynamic equations on time-scales. They present some new sufficient conditions guaranteeing that the oscillatory character of the forcing term is inherited by the solutions.

Subject Keywords

Volterra equations, Time scales, Oscillation, Integro-dynamic equations

URI

https://hdl.handle.net/11511/49803

Journal

APPLIED MATHEMATICS LETTERS

DOI

https://doi.org/10.1016/j.aml.2012.10.001

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

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 matrix equations on time scales Selçuk, Aysun; Ağacık, Zafer; Department of Mathematics (2004) The theory of time scales is introduced by Stefan Hilger in his PhD thesis in 1998 in order to unify continuous and discrete analysis. In our thesis, by making use of the time scale calculus we study the oscillation of nonlinear matrix differential equations of second order. the first chapter is introductory in nature and contains some basic definitions and tools of the time scales calculus, while certain well-known results have been presented with regard to oscillation of the solutions of second order matr...
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.
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
An Application of the rayleigh-ritz method to the integral-equation representation of the one-dimensional schrödinger equation Kaya, Ruşen; Taşeli, Hasan; Department of Mathematics (2019) In this thesis, the theory of the relations between differential and integral equations is analyzed and is illustrated by the reformulation of the one-dimensional Schrödinger equation in terms of an integral equation employing the Green’s function. The Rayleigh- Ritz method is applied to the integral-equation formulation of the one-dimensional Schrödinger equation in order to approximate the eigenvalues of the corresponding singular problem within the desired accuracy. The outcomes are compared with those r...

Citation Formats

S. R. Grace, J. R. Graef, and A. Zafer, “Oscillation of integro-dynamic equations on time scales,” APPLIED MATHEMATICS LETTERS, pp. 383–386, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49803.