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

2020/01/06 by Jianquan Yao, Xicheng Zhang, Yao, J. +3
Mathematics · #34C10 #34K11 #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #G.1.7 #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2001.01415

openalex publication_date 2020/01/06 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

The theme of this article is to provide some sufficient conditions for the asymptotic property and oscillation of all solutions of third-order half-linear differential equations with advanced argument of the form (r₂(t)((r₁(t)(y'(t))^α)')^β)' +q(t)y^γ(σ(t))=0, t≥ t₀gt;0, where ∫^∞r₁^-\frac1α(s)ds

Related

• Oscillatory criteria for the second order linear ordinary differential equations in the marginal sub extremal and extremal cases
• A simple oscillation criteria for second-order differential equations with piecewise constant argument of generalized type
• Kamenev type conditions for oscillation of third order linear ordinary differential equations
• Growth estimates of solutions of linear differential equations with dominant coefficient of lower (α,β,γ)-order
• On the Oscillation of Three Dimensional Katugampola Fractional Delay Differential Systems