Forced oscillation of second-order nonlinear differential equations with positive and negative coefficients

Date

2011-07-01

Author

ÖZBEKLER, ABDULLAH
Wong, J. S. W.
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

167
views

0
downloads

In this paper we give new oscillation criteria for forced super- and sub-linear differential equations by means of nonprincipal solutions.

Subject Keywords

Applied Mathematics

URI

https://hdl.handle.net/11511/56592

Journal

APPLIED MATHEMATICS LETTERS

DOI

https://doi.org/10.1016/j.aml.2011.02.013

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Global existence and boundedness for a class of second-order nonlinear differential equations Tiryaki, Aydin; Zafer, Ağacık (Elsevier BV, 2013-09-01) In this paper we obtain new conditions for the global existence and boundedness of solutions for nonlinear second-order equations of the form
Nonautonomous Bifurcations in Nonlinear Impulsive Systems Akhmet, Marat (Springer Science and Business Media LLC, 2020-01-01) In this paper, we study existence of the bounded solutions and asymptotic behavior of an impulsive Bernoulli equations. Nonautonomous pitchfork and transcritical bifurcation scenarios are investigated. An examples with numerical simulations are given to illustrate our results.
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.
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.
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

A. ÖZBEKLER, J. S. W. Wong, and A. Zafer, “Forced oscillation of second-order nonlinear differential equations with positive and negative coefficients,” APPLIED MATHEMATICS LETTERS, pp. 1225–1230, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56592.