The new sufficient conditions for the oscillation of all solutions of the neutral differential equation with continuous and piecewise constant arguments are obtained.
获得了一类带有连续和分段常数变元的中立型微分方程所有解振动的新的充分条件。
Some sufficient conditions are established for the oscillation of systems of parabolic differential equations of neutral type.
建立了一类中立型抛物微分方程组解的振动的若干充分条件。
In this paper, the oscillation properties of solutions under a kind of boundary conditions for impulsive hyperbolic differential equation of neutral type are studied.
研究了一类边界条件下中立型脉冲双曲方程解的振动性,得到了每个非零解振动的若干充分条件。
Some sufficient conditions are obtained for the oscillation of first order neutral differential-difference equations with positive and negative periodic coefficients.
本文获得了一阶正负周期系数的中立型微分差分方程振动的充分条件。
In this paper, we have studied the oscillation of the first order neutral functional differential equations with delay and advanced argument, obtained, some sufficient conditions extended and impoved.
本文研究了既有滞后量又有超前量的一阶中立型常系数微分方程的振动性,得到了其振动的几个充分条件。
This paper deals with the oscillation of the first order nonlinear neutral type functional differential equation, and obtains sufficient criterion of the equation oscillation.
本文研究一阶非线性中立型泛函微分方程的振动性。得到了该方程振动的充分性判别法则。
Establishes the relationship between the oscillation of neutral difference equations with continuous variable and that of its associated linear limiting equations.
研究具有连续变量的中立型差分方程,建立非线性差分方程与其对应线性差分方程振动性间的关系。
The neutral delay nonlinear hyperbolic differential equation is considered. A sufficient condition for the oscillation on the equations is obtained.
考虑一类中立型时滞双曲微分方程,得到了该方程振动的一个充分条件。
Established a linearized oscillation result of the second order nonlinear neutral delay differential equation with positive and negative coefficients.
建立了二阶具正负系数的非线性中立型微分方程的一个线性化振动性结果。
In this paper some oscillation criteria are established for solutions of a class of neutral hyperbolic boundary value problems.
本文建立一类中立型双曲方程边值问题解的振动准则。
In this paper, some sufficient conditions are obtained for the oscillation solutions of systems with high order partial differential equations of neutral type.
本文获得了一类中立型偏微分方程系统解振动的若干充分条件。
The oscillation for a class of higher order nonlinear neutral difference equations with several delay arguments is studied. A sufficient condition for the oscillation of the equations is obtained.
研究了一类具有多变滞量的高阶非线性中立型差分方程的振动性,给出了此类方程振动的一个充分条件。
In this paper, we consider the oscillation of a class of even order nonlinear neutral differential equations, some new sufficient conditions are established.
本文用不同于原有文献的方法研究了一类偶数阶中立型非线性微分方程的振动性,得到了方程振动的几个新的充分条件。
We study the oscillation of solutions for a class of even order nonlinear neutral functional differential equations with continuous distributed delay.
研究一类具有连续分布滞量的偶数阶非线性中立型泛函微分方程解的振动性,得到了该类方程的若干新的振动准则。
The oscillation problem for a class of the second order neutral difference equations with several variable delay arguments and variable coefficients was studied.
研究了一类具有多个变滞量的变系数的二阶中立型差分方程的解的振动性,得到了该类方程振动及其解的一阶差分振动的充分条件。
In this paper the boundary value problem for a neutral hyperbolic differential equation is studied. A new method for judgement of oscillation solution is obtained and is spreded known results.
研究了一类中立型双曲型泛函微分方程边值问题,得到了判定解是振动的新的方法,推广了已有的结果。
In this paper, we study the forced oscillation and the strong oscillation of systems of impulsive neutral parabolic differential equations with several delays.
本文研究了一类脉冲中立型时滞抛物方程解的振动性及强振动性,获得了此类脉冲中立型时滞抛物方程解振动和强振动的代数判据。
Chapter three mainly considers linearized oscillation for odd-order neutral differential equations, and some sufficient conditions will be established.
第三章讨论了奇数阶微分方程解的振动性,建立了一系列解振动的充分条件。
The oscillation of neutral functional differential equations has important implications in both theory and application.
中立型泛函微分方程的振动性在理论和应用中有着重要意义。
The authors obtain sufficient conditions for the oscillation of all solutions of the neutral difference equations with continuous arguments.
讨论了具连续变量中立型差分方程,获得了该方程所有解振动的充分条件。
The neutral delay nonlinear hyperbolic differential equations is considered. A sufficient condition for the oscillation on the equations is obtained.
考虑一类中立型时滞双曲微分方程,得到了该方程振动的一个充分条件。
Considering a kind of neutral delay differential equations, a sufficient condition for the oscillation of all solutions of neutral delay differential equation in critical state is obtained.
讨论了一类中立型时滞微分方程所有解的振动性,获得了临界状态下该方程所有解振动的一个充分条件。
In this paper, we study the existence of positive solutions and the bounded oscillation of a class of high order unstable type neutral differential equations.
本文研究一类不稳定型高阶中立型微分方程正解的存在性与有界振动。
In this paper, we study the existence of positive solutions and the bounded oscillation of a class of second order unstable type neutral differential equations.
本文研究一类不稳定型二阶中立型微分方程正解的存在性与有界振动。
The oscillation for a class of the second order neutral difference equations with several variable delay arguments and variable coefficients are studied.
研究了一类具有多个变滞量的变系数的二阶中立型差分方程的解的振动性,得到了该类方程振动及其解的一阶差分振动的充分条件。
A class of neutral difference equation with delay is considered and a sufficient condition for the oscillation of the equations is obtained.
考虑一类时滞差分方程的振动性,得到了该方程振动的一个充分条件。
We obtain sufficient conditions for the oscillation of all solutions of the nonlinear high order neutral functional differential equation with continuous deviating arguments.
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。
In this paper, we studied oscillation of the solutions of neutral hyperbolic partial differential equations with nonlinear diffusion coefficient and damped terms.
本文在梁方程的基础上研究了一类具有非线性阻尼项和力源项的四阶波动方程的初边值问题。
In this paper, we studied oscillation of the solutions of neutral hyperbolic partial differential equations with nonlinear diffusion coefficient and damped terms.
本文在梁方程的基础上研究了一类具有非线性阻尼项和力源项的四阶波动方程的初边值问题。
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