Interval criteria for the forced oscillation of super-half-linear differential equations under impulse effects

Date

2009-07-01

Author

ÖZBEKLER, ABDULLAH
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

46
views

0
downloads

In this paper, we derive new interval oscillation criteria for a forced super-half-linear impulsive differential equation having fixed moments of impulse actions. The results are extended to a more general class of nonlinear impulsive differential equations. Examples are also given to illustrate the relevance of the results.

Subject Keywords

Modelling and Simulation, Computer Science Applications

URI

https://hdl.handle.net/11511/57496

Journal

MATHEMATICAL AND COMPUTER MODELLING

DOI

https://doi.org/10.1016/j.mcm.2008.10.020

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Annulus criteria for mixed nonlinear elliptic differential equations ŞAHİNER, YETER; Zafer, Ağacık (Elsevier BV, 2011-05-01) New oscillation criteria are obtained for forced second order elliptic partial differential equations with damping and mixed nonlinearities of the form
Interval oscillation criteria for second-order forced delay dynamic equations with mixed nonlinearities Agarwal, Ravi P.; Anderson, Douglas R.; Zafer, Ağacık (Elsevier BV, 2010-01-01) Interval oscillation criteria are established for second-order forced delay dynamic equations on time scales containing mixed nonlinearities of the form
Periodic solutions of the hybrid system with small parameter Akhmet, Marat; Ergenc, T. (Elsevier BV, 2008-06-01) In this paper we investigate the existence and stability of the periodic solutions of a quasilinear differential equation with piecewise constant argument. The continuous and differentiable dependence of the solutions on the parameter and the initial value is considered. A new Gronwall-Bellman type lemma is proved. Appropriate examples are constructed.
Higher-Order Numerical Scheme for the Fractional Heat Equation with Dirichlet and Neumann Boundary Conditions Priya, G. Sudha; Prakash, P.; Nieto, J. J.; Kayar, Z. (Informa UK Limited, 2013-06-01) In this article, we consider a higher-order numerical scheme for the fractional heat equation with Dirichlet and Neumann boundary conditions. By using a fourth-order compact finite-difference scheme for the spatial variable, we transform the fractional heat equation into a system of ordinary fractional differential equations which can be expressed in integral form. Further, the integral equation is transformed into a difference equation by a modified trapezoidal rule. Numerical results are provided to verif...
Forced oscillation of super-half-linear impulsive differential equations Oezbekler, A.; Zafer, Ağacık (Elsevier BV, 2007-09-01) By using a Picone type formula in comparison with oscillatory unforced half-linear equations, we derive new oscillation criteria for second order forced super-half-linear impulsive differential equations having fixed moments of impulse actions. In the superlinear case, the effect of a damping term is also considered.

Citation Formats

A. ÖZBEKLER and A. Zafer, “Interval criteria for the forced oscillation of super-half-linear differential equations under impulse effects,” MATHEMATICAL AND COMPUTER MODELLING, pp. 59–65, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57496.