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New Asymptotic and Monotonic Features of Solutions to Neutral Differential Equations and their Applications in Oscillation Theory |
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PP: 1359-1367 |
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doi:10.18576/amis/190610
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Author(s) |
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Abdullah Alrashidi,
Osama Moaaz,
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Abstract |
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| This work aims to develop more efficient conditions for evaluating the oscillatory performance of solutions to a class of functional differential equations. We employ the Riccati method and a comparison method with several different approaches. These improved approaches enable us to obtain different criteria that are suitable for different constraints on the parameters. Furthermore, we use some recurrence relations that allow the oscillatory criteria to be applied iteratively. We support the theoretical results and demonstrate their novelty by applying our results to specific cases and comparing the results with previous results in the literature.
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