A Global Stability Criterion for Scalar Functional Differential Equations

اسناد مشابه

• A Global Stability Criterion for Scalar Functional Differential Equations

  مقاله‌ی دسترسی آزاد۲۰۰۳SIAM Journal on Mathematical AnalysisEduardoLiz, VictorTkachenko, SergeiTrofimchuk

• Exponential Stability in a Scalar Functional Differential Equation

  سند علمی۲۰۰۶EDUARDO LIZ

  We establish a criterion for the global exponential stability of the zero solution of the scalar retarded functional differential equation x (t) = L(x t) + g(t,x t) whose linear part y (t) = L(y t) generates a monotone semiflow on the phase space C = C([−r,0],R) with respect to t

• Total Stability in Abstract Functional Differential Equations with Infinite Delay

  سند علمی۱۹۹۹YOSHIYUKI HINO, SATORU MURAKAMI

  Recently, authors [2] have discussed some equivalent relations for ρ-uniform stabilities of a given equation and those of its limiting equations by using the skew product flow constructed by quasi-processes on a general metric space. In 1992, Murakami and Yoshizawa [6] pointed ou

• Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique

  سند علمی۲۰۱۰Shiguo Peng, Liping Yang, Yong Zhou

  and Applied Analysis 3 Definition 2.1. The trivial solution of system 2.2 is said to be globally exponentially stable, if there exist numbers λ > 0 and M 1 such that ∣∣x(t, t0, φ )∣∣ M∥∥φ∥∥e−λt, t 0, 2.3 whenever φ ∈ PC. Definition 2.2. V : −τ,∞ ×Rn → R is said to belong to the c

• General Decay Stability for Stochastic Functional Differential Equations with Infinite Delay

  سند علمی۲۰۱۰Yue Liu, Xuejing Meng, Fuke Wu, Nikolai Leonenko

  So far there are not many results on the stability for stochastic functional differential equations with infinite delay. Themain aim of this paper is to establish some new criteria on the stability with general decay rate for stochastic functional differential equations with infi

• Stability of Stochastic Functional Differential Equations and the W-transform

  سند علمی۲۰۰۴RAMAZAN KADIEV, ARCADY PONOSOV

  The paper contains a systematic presentation of how the so-called “W-transform” can be used to study stability of stochastic functional differential equations. The W-transform is an integral transform which typically is generated by a simpler differential equation (“reference equ