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
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变换和Young不等式，通过积分平均方法，获得了泛函微分方程一些新的振动性判据，改进和推广了最近文献中的一些结果。
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.
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