含连续滞量和阻尼项的非线性双曲偏微分方程组的振动性

研究了一类含连续分布滞量和阻尼项的非线性双曲型偏微分方程组运用黎卡提变换获得了该方程组在两类边值条件下解振动的充分条件.     

Oscillation theorems for nonlinear hyperbolic systems with impulses

In this paper, we are mainly concerned with the oscillation problems of nonlinear hyperbolic differential systems with impulses. Some sufficient conditions for oscillations of the solutions of nonlinear impulsive hyperbolic systems with Robin boundary conditions are obtained and the criteria of oscillation of the systems are established.     

一类脉冲时滞双曲型方程组解的振动性

本文研究含脉冲的时滞双曲型方程组解的振动性,利用二阶脉冲微分不等式的性质,得到了方程组在两类不同边界条件下解振动的一些充分判据.     

具高阶Laplace算子的非线性脉冲时滞双曲型方程的振动判据

研究一类具高阶Laplace算子的非线性脉冲时滞双曲型偏微分方程的振动性,利用特征函数法和一阶脉冲时滞微分不等式,获得了该类方程在两类不同边值条件下所有解振动的若干充分性判据.所得结论充分反映了脉冲和时滞在振动中的影响作用.     

OSCILLATION OF IMPULSIVE HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION WITH DELAY

In this paper, oscillation properties of the solutions of impulsive hyperbolic equation with delay are investigated via the method of differential inequalities. Sufficient conditions for oscillations of the solutions are established.     

具高阶Laplace算子的非线性脉冲时滞双曲型方程的振动性

研究一类具高阶Laplace算子的非线性脉冲时滞双曲型偏泛函微分方程,利用二阶脉冲时滞微分不等式,得到了该类方程在两类不同边值条件下所有有界解振动的若干充分判据.     

含分布滞量的非线性双曲偏微分方程组解的振动性

研究了一类具有连续分布时滞变量的非线性双曲型偏微分方程组解的振动性.获得了该方程组在Robin边值条件和Dircichlet边值条件下解振动的充分条件.     

具有连续时滞的中立型双曲偏微分方程系统解的振动性

研究了一类具有连续时滞变量的非线性中立型双曲型偏微分方程系统,解的振动性.获得了该方程组在Robin边值条件和Dirichlet边值条件下解振动的充分条件.     

OSCILLATION OF SOLUTIONS OF THE SYSTEMS OF QUASILINEAR HYPERBOLIC EQUATION UNDER NONLINEAR BOUNDARY CONDITION

Sufficient conditions are obtained for the oscillation of solutions of the systems of quasilinear hyperbolic differential equation with deviating arguments under nonlinear boundary condition.     

具非线性扩散系数的中立双曲型偏微分方程系统解的振动定理

考虑一类具非线性扩散系数的中立双曲型偏微分方程系统解的振动性.利用Green公式和Riccati变换,获得了该方程组在两类不同边值条件下振动的若干充分条件.