Nonlinear oscillation of second-order dynamic equations on time scales

Date

2009-10-01

Author

Anderson, Douglas 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

254
views

0
downloads

Interval oscillation criteria are established for a second-order nonlinear dynamic equation on time scales by utilizing a generalized Riccati technique and the Young inequality. The theory can be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives.

Subject Keywords

Applied Mathematics

URI

https://hdl.handle.net/11511/57626

Journal

APPLIED MATHEMATICS LETTERS

DOI

https://doi.org/10.1016/j.aml.2009.05.004

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Asymptotic behavior of solutions of differential equations with piecewise constant arguments Akhmet, Marat (Elsevier BV, 2008-09-01) The main goal of the work is to obtain sufficient conditions for the asymptotic equivalence of a linear system of ordinary differential equations and a quasilinear system of differential equations with piecewise constant argument.
Dynamic programming for a Markov-switching jump-diffusion Azevedo, N.; Pinheiro, D.; Weber, Gerhard Wilhelm (Elsevier BV, 2014-09-01) We consider an optimal control problem with a deterministic finite horizon and state variable dynamics given by a Markov-switching jump-diffusion stochastic differential equation. Our main results extend the dynamic programming technique to this larger family of stochastic optimal control problems. More specifically, we provide a detailed proof of Bellman's optimality principle (or dynamic programming principle) and obtain the corresponding Hamilton-Jacobi-Belman equation, which turns out to be a partial in...
On oscillation and nonoscillation of second-order dynamic equations Zafer, Ağacık (Elsevier BV, 2009-01-01) New oscillation and nonoscillation criteria are established for second-order linear equations with damping and forcing terms. Examples are given to illustrate the results.
Forced oscillation of second-order nonlinear differential equations with positive and negative coefficients ÖZBEKLER, ABDULLAH; Wong, J. S. W.; Zafer, Ağacık (Elsevier BV, 2011-07-01) In this paper we give new oscillation criteria for forced super- and sub-linear differential equations by means of nonprincipal solutions.
Oscillation criteria for third-order nonlinear functional differential equations AKTAŞ, MUSTAFA FAHRİ; Tiryaki, A.; Zafer, Ağacık (Elsevier BV, 2010-07-01) In this work, we are concerned with oscillation of third-order nonlinear functional differential equations of the form

Citation Formats

D. R. Anderson and A. Zafer, “Nonlinear oscillation of second-order dynamic equations on time scales,” APPLIED MATHEMATICS LETTERS, pp. 1591–1597, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57626.