Investigation of a Degenerate Functional Differential Equation with Multiple Delay 关于退化多时滞泛函微分方程解的研究
The existence problem for a class of nonlinear retarded functional differential equation is researched. 研究了一类非线性滞后型泛函微分方程周期解的存在性问题。
Existence of Analytic Solutions of a Second-order Iterative Functional Differential Equation 二阶迭代泛函微分方程解析解的存在性
Periodic Solutions for a Kind of Third Order Functional Differential Equation with Deviating Arguments 一类三阶具多偏差变元微分方程的周期解
Two Existence Theorems on a Certain Kind of Functional Differential Equation Systems of First Order 一类一阶泛函微分方程组的两个存在定理
The Number of Positive Solution of Functional Differential Equation with Impulse Effects on Time Scales 时标意义下脉冲泛函微分方程正周期解的个数
The Oscillation of a Constent Coefficient Linear Delay Functional Differential Equation 一类常系数线性时滞泛函微分方程的振动性
Existence of Positive Periodic Solutions for Functional Differential Equation Depending on Parameter 依赖于参数的泛函微分方程正周期解的存在性
Consider the oscillation of linear constant coefficient functional differential equation with three advanced arguments. It obtained the necessary and sufficient conditions characterized by coefficients under which every solution will be oscillatory. 考虑具有三个超前变元的线性常系数微分差分方程的振动性,得到了用系数表示的一切解振动的充分必要条件。
In this paper, we show that the method of monotone iterative technique is valid to obtain two monotone sequences converges uniformly to extremal solutions of second order functional differential equation and Laplace equation with Neumann boundary value conditions. 本论文主要利用上下解和单调迭代法,研究了下面的带有Neumann边界条件的二阶泛函微分方程和φ-Laplace方程在上下解反序条件下,解的存在性条件。
The Stability of D-Operator Functional Differential Equation with Infinite Delay 无穷时滞算子型泛函微分方程的稳定性
Uniformly Asymptotical Lipschitz Stability and Periodic Solution for Neutral Functional Differential Equation 中立型泛函微分方程的Lipschitz一致渐近稳定性和周期解
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。
The existence result of extreme solutions for periodic boundary value problem for second order impulsive functional differential equation is discussed by using the method of lower and upper solutions coupled with monotone iterative technique. 运用上下解及单调迭代技巧讨论了较为广泛的一类二阶脉冲泛函微分方程周期边值问题极解的存在性。
In this paper, sufficient conditions are given for impulsive functional differential asymptotic stability of impulsive functional differential equation of the form and these conditions extend or improve the corresponding ones in [ 7-9]. 该文讨论脉冲泛函微分方程给出了方程零解渐近稳定性和一致渐近稳定性的充分条件,指出这些条件推广或改进了文献[7&9]的相应结论。
Problem of Periodic Solutions for Neutral Functional Differential Equation 中立型泛函微分方程周期解问题
In this paper, we study the asympotic stability for impulsive functional differential equation and periodic solutions of population models influenced by impulses. 本文研究脉冲泛函微分方程的渐近稳定性及脉冲作用下种群模型的周期解。
Abstract This paper deals a class of second order nonlinear neutral functional differential equation with continuous distributed deviating arguments. The author obtains some oscillatory criteria and generalizes some results in [ 4]. 本文讨论一类具有连续分布型滞量的非线性二阶中立型泛函微分方程,作者得到了一些振动性判别准则,推广了文〔4〕的某些结果。
Lipschitz consistent stability in neutral functional differential equation with infinite delay and perturbation 无穷时滞中立型扰动泛函微分方程的Lipschitz一致稳定性
The Property of Solution about A Class of Autonomous Functional Differential Equation 一类自治泛函微分方程解的性质
Som criteria on the asymptotic behavior ( such as boundness, tending to zero) of solutions for a kind of third order delay functional differential equation are established. 本文讨论一类三阶时滞泛函微分方程解的渐近性质,给出了若干解的有界性及解趋于零的判定准则。
This paper mainly discussed the local existence and global existence of solutions for a functional integro differential equation with unbounded delay in Banach space. 讨论了Banach空间中一类具有无穷时滞泛函积分微分方程解的局部存在性和整体存在性。
Maximal and minimal solutions of neutral delay functional differential equation with| q| ≤ 1 |q|≤1中立型时滞泛函微分方程的最大和最小解
Analysis of Geometry of a Class of Partial Functional Differential Equation CALCULATION AND COMPUTER DRAWING OF SHORTEST GEODESICS OF COMMON SURFACES OF REVOLUTION 几种常见回转曲面短程线的几何分析及其计算机绘制
Absolute stability of a neutral functional differential equation of Lurie Type Lurie型的中立型泛函微分方程的绝对稳定性
But, the research concerning oscillatory of solutions to countless functional partial differential equations is still seldom. In this paper, we discuss oscillatory property of solutions to an even order functional partial differential equation. 但是,关于高阶泛函偏微分方程解的振动理论的研究还很少。
In the third section, we obtain some oscillation criteria for a second-order nonlinear functional differential equation. 第三节给出一类二阶非线性泛函微分方程振动的若干判据。
In addition, in the field of chemistry 、 biology 、 meteorology 、 medical science and economic, the existence of positive periodic solutions for neutral functional differential equation and periodic boundary value problems of differential equations also have widely applications. 另外,中立型泛函微分方程的正周期解的存在性和微分方程的周期边值问题在化学、生物学、气象学、医学以及经济学领域中也有着广泛的应用。
Functional differential equation is a mathematical model describing the phenomenon with time delays. 泛函微分方程是描述带有时滞现象的一种数学模型。
People found functional differential equations can more accurately describe the objective world than ordinary differential equations. So the research of the functional differential equation is of great importance. 人们发现泛函微分方程比常微分方程更能精确地描述客观世界,因此研究泛函微分方程具有重要意义。