GCRIS :: Search

Search Results

Now showing 1 - 2 of 2

Citation - WoS: 9
Citation - Scopus: 9
Nonoscillation and Oscillation of Second-Order Impulsive Differential Equations With Periodic Coefficients
(Pergamon-elsevier Science Ltd, 2012) Ozbekler, A.; Zafer, A.
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. (C) 2011 Elsevier Ltd. All rights reserved.
Citation - Scopus: 5
Picone Type Formula for Non-Selfadjoint Impulsive Differential Equations With Discontinuous Solutions
(University of Szeged, 2010) Özbekler,A.; Zafer,A.
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.