New oscillation criteria for second-order half-linear advanced differential equations

G.E. Chatzarakis, J. Džurina and I. Jadlovská

Applied Mathematics and Computation, 2019, vol. 347, issue C, 404-416

Abstract: The objective of this paper is to offer sufficient conditions for the oscillation and asymptotic behavior of all solutions of second-order half-linear differential equations with advanced argument of the form(r(y′)α)′(t)+q(t)yα(σ(t))=0,when ∫∞r−1/α(s)ds<∞. Our criteria substantially improve, simplify and complement a number of existing ones. The results obtained are illustrated by an example on the Euler type equations.

Keywords: Second-order differential equation; Advanced argument; Oscillation; Asymptotic properties; Noncanonical operators (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:404-416

DOI: 10.1016/j.amc.2018.10.091

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