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一类非线性泛函微分方程解的渐近行为#@#@#Asymptotic Behavior of Solutions for a Class of Nonlinear Functional Differential Equations

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成果类型:
期刊论文
作者:
谢永钦;刘轶;龙程;周克男
作者机构:
长沙理工大学 数学与统计学院,湖南 长沙
语种:
中文
关键词:
三阶中立型微分方程;振动准则;RICCATI变换;YOUNG不等式
关键词(英文):
Oscillation Criterion;Riccati Transformation;Young’s Inequality
期刊:
应用数学进展
ISSN:
2324-7991
年:
2017
卷:
06
期:
3
页码:
275-282
基金类别:
长沙理工大学研究生科研创新项目(No:cx2016ss18)资助。
机构署名:
本校为第一机构
院系归属:
数学与统计学院
摘要:
Abstract: In this paper, we study the asymptotic behavior of solutions of third-order nonlinear functional differential equation with distributed delay. By using non-classical Riccati transformation, Young’s inequality and integral averaging, we establish some new sufficient conditions which ensure that every solution of this equation oscillated or converged to zero. Our results essentially improve and complement known results in the literature recently.#@#@#摘要: 本文研究一类具有分布时滞的三阶非线性泛函微分方程解的渐近行为,利用推广的Riccati变...
摘要(英文):
In this paper, we study the asymptotic behavior of solutions of third-order nonlinear functional differential equation with distributed delay. By using non-classical Riccati transformation, Young’s inequality and integral averaging, we establish some new sufficient conditions which ensure that every solution of this equation oscillated or converged to zero. Our results essentially improve and com...

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