非线性中立型双曲偏泛函微分方程系统的振动性

研究非线性中立型双曲偏泛函微分方程系统解的振动性，其中是具有逐片光滑边界的有界区域，获得了系统的解振动的充分条件。并通过一些例子加以阐明．     

二阶非线性中立型微分方程的振动性

This paper discusses a class of second order nonlinear neutral differential equations with variable coefficients and variable d eviations.Oscillation oriteria for all solutions of the equations are established and sufficient conditions are also given to ensure those derivatives of all differentiable solutions of the equatiors to be oscillatory.     

非线性中立型抛物微分方程解的振动性

This paper deals with the oscillatory properties of a class of nonlinear neutral parabolic partial differential equations with several delays. Sufficient criteria for the equation to be oscillatory are obtained by making use of some results of first-order functional differential inequalities. These results fully reveal the essential difference between this type and that without delays.     

高阶中立型非线性偏微分方程解的振动性

考虑一类具有连续分布滞量的高阶中立型偏微分方程的振动性 ,给出这类方程在两类边值条件下解的振动的准则 .     

一类高阶中立型偏微分方程组解的振动性

In this paper, sane sufficient conditions are obtained for the oscillation for solutions of systems of high order partial differential equations of neutral type.     

中立抛物型偏微分方程解的强迫振动

本讨论一类多滞量中立抛物型偏微分方程解的振动性物,获得了其一切解振动的充分条件,指出了与普通抛物型偏微分方程质的差异。     

二阶非线性中立型时滞微分方程的振动性

考虑二阶非线性中立型时滞分方程[a(t)|(z(t) p(t)x(t-τ))‘|^a-1(x(t) p(t)x(t-τ))‘]‘ q(t)|x(t-σ）|^a-1x(t-σ)=0(*)本文获得了方程（*)所有解振动的充分条件,推广并改进了[1]的结果。     

非线性中立抛物型偏微分方程系统的振动性定理

研究一类非线性中立抛物型时滞偏微分方程系统解的振动性质,利用积分不等式和泛函微分方程的某些结果,获得了该类系统在第一类边值条件下所有解振动的若干充分条件.结论充分表明振动是由时滞量引起的.     

中立型二阶非线性微分方程振动性的判据

Abstract. In this paper ,the oscillation criteria for the solutions of the nonlinear differential e-quations of neutral type of the forms:     

非线性偶阶中立型时滞偏微分方程的振动性

建立了一类非线性偶阶中立型时滞偏微分方程的若干新的振动准则,所得的结果推广和改进了文献中的一些振动结果。     

二阶非线性扰动微分方程的振动性准则

本文主要研究了二阶非线性扰动微方程的振动性,所得的振动性准则包含和推广了一些现有的结果。     

关于高阶中立型泛函微分方程的振动性

本文研究了中立型泛函微分方程 d~n/dt~n[x(t)+cx(t-τ)]+p(t)x(t-σ)=0的振动性,这里c,τ,σ∈R,n≥2,τ≥0,σ≥0,p(t)是在[T,+∞)上的连续函数,且p(t)≥0,我们得到了在c≥0,一1≤c<0和c<一1等情况下方程振动的若干充分性条件.     

OSCILLATION OF THE SOLUTIONS OF NONLINEAR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE

This paper, deals with the oscillatory properties of a class of hyperbolic functional differential equations and obtains a set of criterions, by using some results of functional differential inequality. These results reveal that the varied difference between hyperbolic functional differential equations and hyperbolic differential equations.     

THE OSCILLATION OF A CLASS NONLINEAR MATRIX DIFFERENTIAL EQUATION

1DefinitionandPropertyInthematrixdifferentialequation,weconsider(p(t)y,(t)), Q(t)y(t) F(t,y(t),y'(t))=0(1)P,Q,y,Farearealcontinuousnxn-th--ordermatrixintheinterval[a, co),andP,Q,Fareasymmetricmatrix,andPisapositivedefinitematrix.F(t,:!/(t),y'(t))gfij(t,yl…     

一类非线性偏泛函微分方程的强迫振动性

讨论了一类时滞双曲方程边值问题,给出了该类方程在三类边界条件下解的振动条件.     

偏泛函微分方程系统解的强迫振动性

本文研究两类偏泛函微分方程系统的强迫振动性.建立了这两类偏泛函微分方程系统解的强迫振动的若干判据.     

非线性中立双曲型偏泛函微分方程的振动性定理

本文研究了一类多滞量非线性中它双曲型偏泛函微分方程的振动性.借助广义Riccati 变换和微分不等式技巧,获得了这类方程在Robin,Dirichlet边值条件下所有解振动的若干新的充分条件.表明了其振动是由时滞量引起的.     

OSCILLATION OF SOLUTIONS TO SECOND ORDER NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Some new oscillation criteria are established for a second order neutral partial functional differential equation.Assumptions in our theorems are less restrictive,also the proofs are simpler than those in Li and Cui [11].We remove some assumptions that are required for the related results in the previous papers,thus our results generalize and improve many known conclusions.     

具有正负系数的中立型方程的振动性

讨论中立型方程d/dt[x(t)-R(t)x(t-r)] P(t)x(t-t)-Q(t)x(t-δ）=0,（*）其中P,Q,R∈C[（to,∞）,R∧ ）,r,τ,δ∈（0,∞）,τ≥δ,在允许R（t） ∫∧tt=τ δQ（u）du-1变号的情况下得到（*）的所有解振动的判据。     

高阶拟线性中立型偏泛函微分方程组解的振动性

1 引言 由于在人口动力学、生物遗传工程和化学反应过程等自然的和人为的过程中都存在滞后现象,因而偏泛函微分方程(组)的研究能更精确地揭示事物本质,同时能丰富微分方程(组)理论的研究。近十几年来,很多学者在泛函偏微分方程解的振动理论的研究方面作了大量工作,取得了许多成果。然而,关于泛函偏微分方程组解的振动性的研