Nonoscillation and Oscillation of Second-Order Impulsive Differential Equations With Periodic Coefficients
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
HYBRID
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
Abstract
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.
Description
Zafer, Agacik/0000-0001-8446-1223; Ozbekler, Abdullah/0000-0001-5196-4078
Keywords
Oscillation, Impulse, Half-Linear, Periodic, Oscillation, Half-Linear, Applied Mathematics, Impulse, Periodic, Riccati equation, comparison principle, existing of positive solutions, impulsve differential equations, Ordinary differential equations with impulses, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q

OpenCitations Citation Count
7
Source
Applied Mathematics Letters
Volume
25
Issue
3
Start Page
294
End Page
300
PlumX Metrics
Citations
CrossRef : 3
Scopus : 9
Captures
Mendeley Readers : 9
SCOPUS™ Citations
9
checked on Mar 09, 2026
Web of Science™ Citations
9
checked on Mar 09, 2026
Page Views
2
checked on Mar 09, 2026
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