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Nonlinear differential equations with neutral term: Asymptotic behavior of solutions
AIMS Mathematics 2024, 9(12): 33649-33661
Published: 15 December 2024
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The aim of this work is to study some oscillation behavior of solutions of a class of third-order neutral differential equations with multi delays. We present new oscillation criteria that complete and simplify some previous results. We also provide an example to clarify the significance of our results.

Open Access Research Article Issue
Oscillation conditions of nonlinear neutral differential equations with several delays
AIMS Mathematics 2025, 10(6): 13825-13835
Published: 16 June 2025
Abstract PDF (243.9 KB) Collect
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In this paper, we examine whether oscillatory solutions to an even-order differential equation with multiple delays exist. We create new oscillation criteria using the comparison method. When comparing the results obtained in this paper with some of the results in the literature, we find that the results we obtained give better values for the oscillation of the studied equation, and thus we find that the results we obtained expand some of the results in the literature. To further emphasize the relevance of our proposed criteria, we offer some instances to support and exemplify our results.

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