Oscillation of Impulsive Linear Differential Equations With Discontinuous Solutions
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Date
2023
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Cambridge University Press
Open Access Color
Green Open Access
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Abstract
Sufficient conditions are obtained for the oscillation of a general form of a linear second-order differential equation with discontinuous solutions. The innovations are that the impulse effects are in mixed form and the results obtained are applicable even if the impulses are small. The novelty of the results is demonstrated by presenting an example of an oscillating equation to which previous oscillation theorems fail to apply. © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Description
Doğru Akgöl, Sibel/0000-0003-3513-1046
ORCID
Keywords
discontinuous solution, impulsive differential equation, oscillation, second-order linear differential equation, second-order linear differential equation, impulsive differential equation, discontinuous solution, Linear ordinary differential equations and systems, oscillation, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Ordinary differential equations with impulses
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
2
Source
Bulletin of the Australian Mathematical Society
Volume
107
Issue
1
Start Page
112
End Page
124
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Citations
Scopus : 1
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1
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Web of Science™ Citations
2
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2
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246
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