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In this paper,by using the characteristic equation,some forced oscillation of certain delay hyperbolic differential equation s are obtained.

借助其特征方程,获得了一类时滞双曲型微分方程解的强迫振动的若干充分条

First of all, the method of Fredholm alternative is used to obtain the approximate solution of the first order for the bifurcating periodic solutions of a nonlinear system with delayed velocity feedback. The bifurcation direction and the stability of the bifurcating periodic solution are also determined.

首先,用Fredholm择一方法分析了一具有时滞速度反馈的非线性振动系统的Hopf分叉,得到了局部分叉周期解的近似表达式,确定了分叉解的分叉方向及稳定性。

Existence, uniqueness and continuous dependence of C〓 solutions for an iterative functional equation related to invariant curves of functional differential equations with piecewise constant arguments are given under weaker conditions than that known results of C〓 solutions.

本章首先讨论了与逐段常时滞泛函微分方程不变曲线有关的一类迭代函数方程的连续解的存在唯一性和连续依赖性,不但弱化了已有结果的C〓光滑性的条件,还讨论了连续解的对称性,并根据对称性将一些结果推进到高维。

In Chapter 3,the exponential stability and its algebraic criteria for a linear degenerate functional differential equation is discussed.

第二章在n维空间中讨论了中立型多时滞泛函方程的通解表示和指数稳定性,得到与一维空间中类似的结论。

In the fourth part of Chapter 5,the distribution of characteristic roots for singular neutral retarded functional differential equation are discussed.

本章最后一部分讨论了奇异中立型时滞方程特征根的分布,建立了判定定理,并举例说明定理的应用。

In the second part of Chapter 5,the supremum of real parts of characteristic roots for a nonsingular neutral degenerate retarded functional differential equation is studied.

第五章的第一部分讨论了非奇异中立型时滞方程的指数稳定性,所得的指数稳定的判定定理不同于文中的定理2。

In Chapter 4,we study further the exponential stability and its algebraic criterion for a linear neutral degenerate functional differential equation.

第三章考虑了一类线性退化多时滞泛函微分方程,给出了解的指数稳定及其指数稳定的代数判据。

This paper dealt with the uniform stability and the uniformly asymptotic stability of neutral functional differential equation with infinite delay .

以B空间为相空间,利用D算子的性质及Liapunov泛函方法,研究了具无穷时滞中立型泛函微分方程零解的稳定性。

In chapter 4, sufficient conditions of at least one, two and multiple positive periodic solutions to a scalar functional differential equation with muti-finite delays are obtained by using a fixed point theorem introduced in [27] and [85] which is different from the one of a cone compression and expansion of norm type. It generalizes and improves some related results in the literature.

第四章利用文献[27]和[85]中所给出的不同于范数型锥压缩和拉伸的不动(来源:bc1cbcABC论文网www.abclunwen.com)点定理得到了具有有限时滞纯量泛函微分方程至少存在一个、两个和多个正周期解的充分条件,推广并改进了已有的相关结果。

In this thesis, using the integral equation theory and functional analysis, we prove the existence and uniqueness of the model solution.

但对于带有时滞的非线性的用偏微分方程描述的经济分布参数控制模型的研究,在以前的文献中还没有见到。

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