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OSCILLATION OF IMPULSIVE LINEAR DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS SOLUTIONS
Published online by Cambridge University Press: 05 May 2022
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.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 107 , Issue 1 , February 2023 , pp. 112 - 124
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
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