具偏差变元微分方程解的振动性

该文建立了具偏差变元微分方程 ｘ’（ｔ）＋ ｐ（ｔ）ｘ（τ（ｔ））＝ ０的新的振动准则,所得定理改进了文献［１－６］中相应的结果．     

Asymptotic Behavior of Solutions of Systems of Functional Differential Equations with Nonlinear Deviation of Argument

For systems of functional differential equations with nonlinear deviation of argument, we obtain sufficient conditions for the existence of families of their solutions that are continuously differentiable for t R ⁺. We also investigate the asymptotic behavior of these solutions.     

Asymptotic Behavior of Solutions of Nonlinear Difference Equations with Continuous Argument

We establish conditions for the existence and uniqueness of continuous asymptotically periodic solutions of nonlinear difference equations with continuous argument.     

Oscillation of 2nd-order Nonlinear Noncanonical Difference Equations with Deviating Argument

The purpose of this paper is to establish some new criteria for theoscillation of the second-order nonlinear noncanonical difference equationsof the form[Delta left( aleft( nright) Delta xleft( nright) right) +q(n)x^{beta}left( g(n)right) =0,text{ }ngeq n_{0}]under the assumption[sum_{s=n}^{infty }frac{1}{aleft( sright) }相似文献   

一类具偏差变元非线性偏微分方程解的振动性

研究了一类具有偏差变元的非线性偏微分方程解的振动性，获得了方程所有解振动的充分条件。     

一类具复杂偏差变元的微分方程的周期解存在性

应用重合度理论研究了一类具复杂偏差变元的二阶Liénard微分方程的周期解存在性问题,改进和推广了以往文献的相关结果.     

具有分布偏差变元的二阶中立型方程的振动准则(英文)

利用Riccati变换及积分平均技巧,建立一类具有非线性中立项及分布偏差变元的二阶中立型方程的振动准则,我们的结果推广并改进了一些已有的结果.     

一类具有偏差变元的二阶积分微分方程解的有界性与渐近性

利用不等式方法研究了一类具有偏差变元的二阶积分微分方程解的有界性与渐近性,给出了该类方程所有解有界的充分条件,所得结果推广并改进了前人的某些工作.     

一类具有脉冲的非线性时滞微分方程解的渐进性

研究了-类具有脉冲的二阶非线性时滞微分方程 (r(t))X'-p(t)x'(t) n∑i=1 qi(t)x(t-σi) f(t)=0, t≠tk, x(t k)-x(tk)=akx(tk),x1(t k)-x1(tk)=bkx1(tk), k∈z 的解的渐近性,并得到了一系列相关的充分条件.     

Asymptotic Behavior of Solutions to Second-Order Nonlinear Differential Equations

In this paper the authors study the oscillation and the asymptotic behavior of solutiosn to the second-order nonlinear differential equations $[\ddot x]\pmX(t,x,[\dot x])=0$(X_{\pm}) and give necessary and sufficient conditions for Equation (X_+) to have a bounded nonoscillatory solution or to be oscillatory. There are four classes of solutions to Equation (X_) with different asymptotic behavior. For each class of solution, the necessary or sufficient condition of the existence is obtained.     

Asymptotic Behavior and Oscillation in Higher Order Nonlinear Differential Equations with Retarded Arguments

Acta Mathematica Hungarica -     

含连续偏差变元和阻尼项的中立型双曲偏微分方程解的振动性

研究了一类含有连续偏差变元和阻尼项的非线性双曲型偏微分方程,获得了该方程在Robin边值条件和Dirichlet边值条件下解的振动性的一些充分条件.     

On Global Solutions of Systems of Nonlinear Functional Differential Equations with Deviating Argument Dependent on Unknown Functions

For a system of nonlinear functional differential equations with nonlinear deviations of an argument, we obtain sufficient conditions for the existence of a continuously differentiable solution bounded for t R.     

非线性中立型微分方程非振动解的渐近性

本文得到一类非线性中立型微分方程非振动解的渐近性     

一类具有偏差变元的泛函微分方程周期解的存在性

利用重合度理论研究了一类具有偏差变元的泛函微分方程周期解的存在性问题,得到了该方程具有周期解的一些充分条件.结论丰富了现有文献的结果.     

Asymptotic Properties of the Nonoscillatory Solutions of Second-Order Neutral Equations with a Deviating Argument

In the paper second-order linear neutral differential equations with a distributed delay are considered. The asymptotic properties of their nonoscillatory solutions are investigated.     

具偏差变元的二阶p-Laplacian方程周期解存在性问题

本文研究一类具偏差变元的二阶p-Laplacian方程((?)p(y'(t)))'+f(y'(t))+g(y(t-τ(t)))=e(t)的周期解问题.利用Mawhin重合度拓展定理得到了周期解存在性的新的结果.     

Periodic Solutions for p-Laplacian Neutral Functional Differential Equation with a Deviating Argument

In this paper, by using the continuation theorem of coincidence degree theory and some analysis methods, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with a deviating argument,some new results on the existence of periodic solutions is obtained.