Oscillatory behavior of integro-dynamic and integral equations on time scales

Date

2014-02-01

Author

Grace, S. 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

247
views

0
downloads

By making use of asymptotic properties of nonoscillatory solutions, the oscillation behavior of solutions for the integro-dynamic equation

Subject Keywords

Integro-dynamic equation, Integral equation, Oscillation, Time scale, Volterra equation

URI

https://hdl.handle.net/11511/57384

Journal

APPLIED MATHEMATICS LETTERS

DOI

https://doi.org/10.1016/j.aml.2013.09.008

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Oscillation of integro-dynamic equations on time scales Grace, Said R.; Graef, John R.; Zafer, Ağacık (2013-04-01) 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.
Oscillation of higher order nonlinear dynamic equations on time scales Grace, Said R; Agarwal, Ravi P; Zafer, Ağacık (Springer Science and Business Media LLC, 2012-5-23) 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.
Periodic solutions and stability of differential equations with piecewise constant argument of generalized type Büyükadalı, Cemil; Akhmet, Marat; Department of Mathematics (2009) In this thesis, we study periodic solutions and stability of differential equations with piecewise constant argument of generalized type. These equations can be divided into three main classes: differential equations with retarded, alternately advanced-retarded, and state-dependent piecewise constant argument of generalized type. First, using the method of small parameter due to Poincaré, the existence and stability of periodic solutions of quasilinear differential equations with retarded piecewise constant...
Inverse problems for a semilinear heat equation with memory Kaya, Müjdat; Çelebi, Okay; Department of Mathematics (2005) In this thesis, we study the existence and uniqueness of the solutions of the inverse problems to identify the memory kernel k and the source term h, derived from First, we obtain the structural stability for k, when p=1 and the coefficient p, when g( )= . To identify the memory kernel, we find an operator equation after employing the half Fourier transformation. For the source term identification, we make use of the direct application of the final overdetermination conditions.
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

Citation Formats

S. R. Grace and A. Zafer, “Oscillatory behavior of integro-dynamic and integral equations on time scales,” APPLIED MATHEMATICS LETTERS, pp. 47–52, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57384.