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

作　　者：Wen-juan LI Yuan-hong YU 

机构地区：[1]Mathematic and computer science College,Chifeng University,Chifeng 024000,China [2]Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China

出　　处：《Acta Mathematicae Applicatae Sinica》2022年第2期484-496,共13页应用数学学报（英文版）

基　　金：supported by the NSFC(11761006,11762001);the Higher School Foundation of Inner Mongolia(NJZY17301)。

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)+∫_(c)^(d)q(t,ξ)f(x(σ(t,ξ)))dξ=0,t≥t_(0) where z(t)=x(t)+∫_(a)^(b)p(t,ξ)x^(γ)(τ(t,ξ))dξ,0<γ≤1.Under the conditions∫_(t_(0)-1)^(∞)r^(-1/α)(t)dt=∞or∫_(t0)^(∞)r^(-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.

关 键 词：oscillatory behavior neutral differential equation THIRD-ORDER 

分 类 号：O175[理学—数学]