Oscillatory Behavior of Third-order Nonlinear Differential Equations with a Sublinear Neutral Term

• 作者: Wen-juan LI Yuan-hong YU
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2022,（2）
• 页码范围: 484-496
• 页数: 13页
• 语种: 英文

摘要

The authors present some new criteria for oscillation and asymptotic behavior of solutions of third-order nonlinear differential equations with a sublinear neutral term of the form(r(t)(z"(t))α)+∫dcq(t,ξ)f(x(σ(t,ξ)))dξ=0,t≥t0 where z(t)=x(t)+∫bap(t,ξ)xγ(τ(t,ξ))dξ,0＜γ≤1.Under the conditions∫∞to-1/α(t)dt=∞ or∫∞tor-1/α(t)dt＜∞.The results obtained here extend,improve and complement to some known results in the literature.Examples are provided to illustrate the theorems.