Oscillatory Solutions to Neutral Delay Differential Equations

Alsharari, Fahad; Bazighifan, Omar; Nofal, Taher A.; Khedher, Khaled Mohamed; Raffoul, Youssef N.

doi:10.3390/math9070714

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2021

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“…On the other hand, odd-order DDEs have received interest in studies [14][15][16][17]. The development of the study of equations of the second order is reflected in the equations of the even order, and this can be observed in the works [18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations

et al. 2021

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In this study, a new oscillation criterion for the fourth-order neutral delay differential equation ruxu+puxδu‴α′+quxβϕu=0,u≥u0 is established. By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the existence of the unknown function. Furthermore, the new criterion improves and complements the previous results in the literature. The results obtained are illustrated by an example.

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