New oscillation criteria for nonlinear delay differential equations of fourth-order

Osama Moaaz and Ali Muhib

Applied Mathematics and Computation, 2020, vol. 377, issue C

Abstract: By using a generalized Riccati substitution, we present a new criterion for oscillation of solutions of fourth-order quasi-linear differential equations (r(t)(x‴(t))α)′ + f(t,x(σ(t)))=0, in noncanonical case ∫∞r−1/α(s)ds < ∞. We utilize an approach that gives rise to two or three independent conditions, eliminating non-oscillatory solutions. Moreover, we establish conditions in a non-traditional form (limsup(·)>1), while condition (limsup(·)=∞) cannot be applied. Our results essentially improve and complement a number of related ones. Examples are provided to illustrate the results.

Keywords: Differential equations of 4th-order; Oscillation criteria; Delay (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320301612

DOI: 10.1016/j.amc.2020.125192

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