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Forced Oscillation of Second-Order Impulsive Differential Equations with Mixed Nonlinearities
Date
2011-07-08
Author
ÖZBEKLER, ABDULLAH
Zafer, Ağacık
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In this paper we give new oscillation criteria for a class of second-order mixed nonlinear impulsive differential equations having fixed moments of impulse actions. The method is based on the existence of a nonprincipal solution of a related second-order linear homogeneous equation.
Subject Keywords
Oscillation
,
Mixed nonlinear
,
Fixed moments
,
Impulse
,
Non-principal
URI
https://hdl.handle.net/11511/57665
DOI
https://doi.org/10.1007/978-1-4614-7333-6_13
Conference Name
International Conference on Differential and Difference Equations and Applications
Collections
Department of Mathematics, Conference / Seminar
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ÖZBEKLER, ABDULLAH; Zafer, Ağacık (2012-03-01)
In this paper, we give a nonoscillation criterion for half-linear equations with periodic coefficients under fixed moments of impulse actions. The method is based on the existence of positive solutions of the related Riccati equation and a recently obtained comparison principle. In the special case when the equation becomes impulsive Hill equation new oscillation criteria are also obtained.
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.
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.
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.
PICONE TYPE FORMULA FOR NON-SELFADJOINT IMPULSIVE DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS SOLUTIONS
ÖZBEKLER, ABDULLAH; Zafer, Ağacık (2010-01-01)
A Picone type formula for second order linear non-selfadjoint impulsive differential equations with discontinuous solutions having fixed moments of impulse actions is derived. Applying the formula, Leighton and Sturm-Picone type comparison theorems as well as several oscillation criteria for impulsive differential equations are obtained.
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A. ÖZBEKLER and A. Zafer, “Forced Oscillation of Second-Order Impulsive Differential Equations with Mixed Nonlinearities,” Azores Univ, Ponta Delgada, PORTUGAL, 2011, vol. 47, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57665.