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Oscillatory Behavior of Third-order Nonlinear Differential Equations with a Sublinear Neutral Term
作者姓名:Wen-juan LI  Yuan-hong YU
作者单位:1. Mathematic and computer science College, Chifeng University;2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences
基金项目:supported by the NSFC (11761006, 11762001);
摘    要:The authors present some new criteria for oscillation and asymptotic behavior of solutions of thirdorder nonlinear differential equations with a sublinear neutral term of the form ■where z(t) = x(t)+∫a~b p(t, ξ)x~γ(τ(t, ξ)) dξ, 0 < γ ≤ 1. Under the conditions∫t0~∞ 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.


Oscillatory Behavior of Third-order Nonlinear Differential Equations with a Sublinear Neutral Term
Wen-juan LI,Yuan-hong YU.Oscillatory Behavior of Third-order Nonlinear Differential Equations with a Sublinear Neutral Term[J].Acta Mathematicae Applicatae Sinica,2022,38(2):484-496.
Authors:Li  Wen-juan  Yu  Yuan-hong
Institution: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
;
Abstract:Acta Mathematicae Applicatae Sinica, English Series - The authors present some new criteria for oscillation and asymptotic behavior of solutions of third-order nonlinear differential equations with...
Keywords:
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