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OSCILLATION OF IMPULSIVE LINEAR DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS SOLUTIONS

Part of: General theory in ordinary differential equations Qualitative theory

Published online by Cambridge University Press:  05 May 2022

SIBEL DOĞRU AKGÖL Open the ORCID record for SIBEL DOĞRU AKGÖL [Opens in a new window]
SIBEL DOĞRU AKGÖL*
Affiliation:
Department of Mathematics, Atılım University, 06830 İncek, Ankara, Turkey
*
e-mail: sibel.dogruakgol@atilim.edu.tr
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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.

Keywords

second-order linear differential equationimpulsive differential equationoscillationdiscontinuous solution

MSC classification

Primary: 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
Secondary: 34A36: Discontinuous equations 34A37: Differential equations with impulses
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 107 , Issue 1 , February 2023 , pp. 112 - 124
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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References

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