Exponential decay and existence of almost periodic solutions for some linear forced differential equations.
Exponential dichotomies for linear systems with impulsive effects.
Exponential dichotomy for evolution families on the real line.
Exponential dichotomy of linear systems with almost periodic matrices.
Exponential estimates on the one-dimensional Schroedinger equation with bounded analytic potential
Exponential expansiveness and complete admissibility for evolution families
Connections between uniform exponential expansiveness and complete admissibility of the pair are studied. A discrete version for a theorem due to Van Minh, Räbiger and Schnaubelt is presented. Equivalent characterizations of Perron type for uniform exponential expansiveness of evolution families in terms of complete admissibility are given.
Exponential stability and exponential instability for linear skew-product flows
We give characterizations for uniform exponential stability and uniform exponential instability of linear skew-product flows in terms of Banach sequence spaces and Banach function spaces, respectively. We present a unified approach for uniform exponential stability and uniform exponential instability of linear skew-product flows, extending some stability theorems due to Neerven, Datko, Zabczyk and Rolewicz.
Exponential stability for a class of singularly perturbed Itô differential equations.
Exponential stability for periodic evolution families of bounded linear operators.
Exponential stability for singularly perturbed systems with state delays.
Exponential stability of nonlinear time-varying differential equations and applications.
Exponential stability of stochastic discrete-time, periodic systems in Hilbert spaces.
Exponential stability via aperiodically intermittent control of complex-variable time delayed chaotic systems
This paper focuses on the problem of exponential stability analysis of uncertain complex-variable time delayed chaotic systems, where the parameters perturbation are bounded assumed. The aperiodically intermittent control strategy is proposed to stabilize the complex-variable delayed systems. By taking the advantage of Lyapunov method in complex field and utilizing inequality technology, some sufficient conditions are derived to ensure the stability of uncertain complex-variable delayed systems,...
Extinction and permanence of a three-species Lotka-Volterra system with impulsive control strategies.
Extinction in a generalized Lotka-Volterra predator-prey model.
Extinction in nonautonomous Kolmogorov systems
We consider nonautonomous competitive Kolmogorov systems, which are generalizations of the classical Lotka-Volterra competition model. Applying Ahmad and Lazer's definitions of lower and upper averages of a function, we give an average condition which guarantees that all but one of the species are driven to extinction.
Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances
A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper. Sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. The results obtained here generalize the main results of Li and Chen [Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances, Appl. Math. Comput. 182(2006)684-690]....
Extrait d'une Lettre à M. Hermite, relative à l'application des fonctions elliptiques à la théorie des perturbations.
Fault tolerant control for uncertain time-delay systems based on sliding mode control
Fault tolerant control for uncertain systems with time varying state-delay is studied in this paper. Based on sliding mode controller design, a fault tolerant control method is proposed. By means of the feasibility of some linear matrix inequalities (LMIs), delay dependent sufficient condition is derived for the existence of a linear sliding surface which guarantees quadratic stability of the reduced-order equivalent system restricted to the sliding surface. A reaching motion controller, which can...
Fine scales of decay of operator semigroups
Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends several notable results in the literature on decay of operator semigroups and yields a number of new ones. Its core is a new operator-theoretical method of deriving rates of decay combining ingredients from functional calculus and complex, real and harmonic analysis. It also leads to several results of independent...