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- Abstract： It is well known that for functional differential equation with finite delay, its phase space always structured by continuous function together with supremum norm. 摘 要： 众所周知,对于有限时滞的泛函微分方程,其相空间几乎都是采用连续函数加上确界模所构成的空间;
- The present paper deals with the uniform boundness and the ended uniform boundness of solutions for a nonlinear functional differential equation by using Lyapunov method. 摘要讨论一类非线性泛函微分方程解的一致有界性和一致最终有界性。
- The Basic Theory of Stability of Functional Differential Equations. 泛函微分方程(超中立型)稳定性的基本理论
- 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.
- We obtain sufficient conditions for the existence of at least three positive solutions for the boundary value problem of a second order functional differential equation this is an application of a new fixed point theorem introduced by Avery and Peterson. 本文利用Avery和Peterson引入的新的不动点定理,得出了泛函微分方程边值问题存在三个正解的充分条件并得出了有关新结果。
- In this paper, we discuss the oscillation of first order neutral nonlinear functional differential equation with variable coefficients and multi-delays, sufficient oscillation criteria are obtained. 讨论具有变系数的多滞量一阶中立型非线性泛函微分方程的振动性,得到该方程的充分性振动准则。
- linear functional differential equation 线性泛函微分方程
- Parabolic partial functional differential equation 抛物型偏泛函微分方程
- This paper is devoted to the investigation of the asymptotic behavior for a class of nonlinear parabolic partial functional differential equations. 本文研究一类非线性抛物型偏泛函微分方程的渐近行为。
- Considers boundedness of solutions of nonlinear functional differential equations,obtains several new sufficient criterion. 对一类非线性泛函微分方程解的有界性进行探讨,得到了几个新的判别法则。
- Stochastic functional differential equations with Markovian switching are very important in theorical and have great applications. 马尔可夫调制的随机泛函微分方程的研究具有高度的理论意义和广阔的应用前景。
- third order functional differential equation 三阶泛函微分方程
- neutral functional differential equation 中立型泛函微分方程
- damped functional differential equation 阻尼泛函微分方程
- Therefore, it is significant to study the existence and controllability of multivalued functional differential equations and integrodifferential equations. 因此,对多值泛函微分方程和积分微分方程存在性和可控性的研究具有重要意义。
- Some sufficient conditions are established for the forced oscillation for the systems of higherorder neutral quasilinear partial functional differential equations by a new method. 采用一种新方法研究一类高阶中立型拟线性偏泛函微分方程系统的强迫振动性;得到了一些充分性条件.
- The boundedness of second-order nonlinear functional differential equations is discussed. The results make further progress than the results of document [1]. 摘要对二阶非线性泛函微分方程解的有界性进行讨论，推广了文献[1]的结果。
- In this paper oscillatory behavior for a class of nonlinear higher order functional differential equations are established.Our results generalize some theorems in literatures. 给出了一类高阶非线性泛函微分方程的若干振动定理，推广了文献中的一些振动结果.
- functional differential equation 泛函微分方程
- high-order functional differential equation 高阶泛函微分方程
