通过构造多项式序列的方法，建立了非线性时滞方程的解的零点分布，给出了较为广泛的振动条件。
The distribution of zeros for nonlinear differential equations with positive arguments by method of polynomial series, and some more explicit conditions to oscillate are given.
第二章主要是研究某些类型的线性或非线性的带有离散时滞的偏差分方程解的振动性的判别法。
In the second part, we mainly consider oscillations of solution of some linear and nonlinear partial difference equations with discrete variables and delays.
该文研究一带时滞的退化非线性抛物方程的初边值问题。
This paper deals with the initial boundary value problem of a nonlinear degenerate parabolic equation with time delay.
研究一类非线性的偶数阶中立型时滞微分方程，得到了该类方程解振动的几个新的判别准则，得到的结果推广了已有文献中的结果。
The oscillatory criteria of even order nonlinear neutral delay differential equations are studied. The results obtained extend several results in known literature.
利用时滞脉冲积分不等式，给出了一类非线性的脉冲时滞微分方程的解有界性的充分条件。
Sufficient conditions for boundedness of solutions of nonlinear delay differential equations with impulses are established by using impulsive integral inequalities with a deviation.
研究具时滞的三阶非线性微分方程，利用变量替换和不动点方法，得到了此方程有界解和概周期解的存在性及唯一性结果。
This paper deals with the problems on the existence and uniqueness of bounded solutions and almost periodic solution for third order nonlinear differential equations with time lag.
利用泛函分析的技巧讨论了一类对具有连续时滞非线性积分微分方程周期解的稳定性。
The stability of periodic solutions of a kind of nonlinear integral-differential equations with continuous delay is discussed in this paper mainly by the method of functional analysis.
生物学、生态学、生物化学等应用领域中的许多模型都可以用非线性时滞反应扩散方程来描述。
Many models in various field of applications, such as biology, ecology and biochemistry, can be described by nonlinear reaction-diffusion equations with time delays.
研究了三阶非线性脉冲时滞微分方程解的振动性与渐近性，得到了一些充分判据。
The oscillation and asymptotic behaviors of three order nonlinear functional differential equation with impulses are investigated, and some sufficient conditions are obtained.
获得了在Robin的边界条件(RBC)下某类非线性时滞抛物方程振动的充分条件。
Sufficient conditions are obtained for oscillation of certain nonlinear delay parabolic equation under Robin Boundary condition (RBC).
研究一类具有连续分布偏差变元的高阶非线性中立型时滞偏微分方程，获得了方程解振动的一些新的判定准则。
The oscillations for a class of nonlinear neutral delay partial differential equations with continuous distributed deviating arguments is discussed.
利用变形边界函数法与上下解方法，研究了一类具非线性边界条件的半线性时滞微分方程边值问题，得到了此边值问题解的存在性的充分条件。
The asymptotic behavior for a class of higher-order delay partial differential equations be investigated in this paper, some asymptotic behavior be established, which expanded some references.
研究一类具有连续分布偏差变元的高阶非线性中立型时滞偏微分方程，获得了方程解振动的一些新的判定准则。
We obtain sufficient conditions for the oscillation of all solutions of the nonlinear high order neutral functional differential equation with continuous deviating arguments.
本文给出关于二阶非线性常微分方程和时滞微分方程的一些新的振动准则。
This paper discusses the oscillation of second order nonlinear ordinary differential equations and delay differential equations. Some new oscillation criteria for the equations are obtained.
本文给出关于二阶非线性常微分方程和时滞微分方程的一些新的振动准则。
This paper discusses the oscillation of second order nonlinear ordinary differential equations and delay differential equations. Some new oscillation criteria for the equations are obtained.
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