Some remarks on an operational time dependent equation
Some topological properties preserved by nearness between operators and applications to P.D.E.
Some uniqueness results for impulsive semilinear neutral functional-differential equations.
Spectral analysis of a weighted shift operator with unbounded operator coefficients.
Spectral properties of cosine operator functions.
Spectral sets and the Drazin inverse with applications to second order differential equations
The paper defines and studies the Drazin inverse for a closed linear operator in a Banach space in the case that belongs to a spectral set of the spectrum of . Results are applied to extend a result of Krein on a nonhomogeneous second order differential equation in a Banach space.
Square-mean almost periodic solutions nonautonomous stochastic differential equations.
Stability analysis for neutral-type impulsive neural networks with delays
By using linear matrix inequality (LMI) approach and Lyapunov functional method, we obtain some new sufficient conditions ensuring global asymptotic stability and global exponential stability of a generalized neutral-type impulsive neural networks with delays. A simulation example is provided to demonstrate the usefulness of the main results obtained. The main contribution in this paper is that a new neutral-type impulsive neural networks with variable delays is studied by constructing a novel Lyapunov...
Stability and correctness of abstract differential equations in Hilbert spaces
Stability and error estimates valid for infinite time, for strongly monotone and infinitely stiff evolution equations
Stability at constantly acting disturbances of abstract differential equations with the right-hand sides smooth in the time variable
Stability in nonlinear evolution problems by means of fixed point theorems
The stabilization of solutions to an abstract differential equation is investigated. The initial value problem is considered in the form of an integral equation. The equation is solved by means of the Banach contraction mapping theorem or the Schauder fixed point theorem in the space of functions decreasing to zero at an appropriate rate. Stable manifolds for singular perturbation problems are compared with each other. A possible application is illustrated on an initial-boundary-value problem for...
Stability of abstract differential equations at constantly acting disturbances
Stability of abstract differential equations with the right-hand side smooth in the time variable
Stability of stationary and periodic solutions equations in Banach space.
Stabilizability and controllability of systems associated to linear skew-product semiflows.
This paper is concerned with systems with control whose state evolution is described by linear skew-product semiflows. The connection between uniform exponential stability of a linear skew-product semiflow and the stabilizability of the associated system is presented. The relationship between the concepts of exact controllability and complete stabilizability of general control systems is studied. Some results due to Clark, Latushkin, Montgomery-Smith, Randolph, Megan, Zabczyk and Przyluski are generalized....
Stabilization of solutions of abstract parabolic equations
Stabilization of solutions to a differential-delay equation in a Banach space
A parameter dependent nonlinear differential-delay equation in a Banach space is investigated. It is shown that if at the critical value of the parameter the problem satisfies a condition of linearized stability then the problem exhibits a stability which is uniform with respect to the whole range of the parameter values. The general theorem is applied to a diffusion system with applications in biology.
Stepanov-like almost automorphic solutions for nonautonomous evolution equations.
Stochastic differential equations in Hilbert spaces