Oscillation theorems for fourth-order quasi-linear delay differential equations
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In this paper, we deal with the asymptotic and oscillatory behavior of quasi-linear delay differential equations of fourth order. We first find new properties for a class of positive solutions of the studied equation, $ \mathcal{N}_{a} $. As an extension of the approach taken in [
1 ], we establish a new criterion that guarantees that $ \mathcal{N}_{a} = \emptyset $. Then, we create a new oscillation criterion.Citation: Fahd Masood, Osama Moaaz, Shyam Sundar Santra, U. Fernandez-Gamiz, Hamdy A. El-Metwally. Oscillation theorems for fourth-order quasi-linear delay differential equations[J]. AIMS Mathematics, 2023, 8(7): 16291-16307. doi: 10.3934/math.2023834
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Abstract
In this paper, we deal with the asymptotic and oscillatory behavior of quasi-linear delay differential equations of fourth order. We first find new properties for a class of positive solutions of the studied equation, $ \mathcal{N}_{a} $. As an extension of the approach taken in [
1 ], we establish a new criterion that guarantees that $ \mathcal{N}_{a} = \emptyset $. Then, we create a new oscillation criterion.
References
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