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Oscillatory features of nonlinear advanced differential equations |
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PP: 1117-1123 |
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doi:10.18576/amis/180517
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Author(s) |
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Wedad Alhaysuni,
Ahmed Saleh Almohaimeed,
Osama Moaaz,
Amira Essam,
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Abstract |
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| In this paper, we rely on some different techniques to study the oscillatory behavior of advanced second-order nonlinear differential equations with multiple deviating arguments. Three oscillation theorems were provided for all solutions of the studied equation by applying the comparison technique with equations of the same order and also using the famous Riccati technique. The results obtained improve and generalize some previous work, as they take into account the effect of deviating arguments on oscillatory behavior, which was previously neglected. Our results can also be applied to more than one type of differential equation, such as linear and ordinary. Finally, the originality and scientific contribution of our results were discussed, and examples were provided that confirmed their applicability and coverage of a broader scope compared to the previous ones. |
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