Some uniqueness results for impulsive semilinear neutral functional-differential equations.
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
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.
Strongly damped semilinear equations.
Structure of the sets of weak solutions of an ordinary differential equation in a Banach space
Subdifferential inclusions and quasi-static hemivariational inequalities for frictional viscoelastic contact problems
We survey recent results on the mathematical modeling of nonconvex and nonsmooth contact problems arising in mechanics and engineering. The approach to such problems is based on the notions of an operator subdifferential inclusion and a hemivariational inequality, and focuses on three aspects. First we report on results on the existence and uniqueness of solutions to subdifferential inclusions. Then we discuss two classes of quasi-static hemivariational ineqaulities, and finally, we present ideas...
Successive Approximation of Neutral Functional Stochastic Differential Equations in Hilbert Spaces
By using successive approximation, we prove existence and uniqueness result for a class of neutral functional stochastic differential equations in Hilbert spaces with non-Lipschitzian coefficients
Sur les injections entre espaces de Sobolev et espaces d'Orlicz et application au comportement a l'infini pour des équations des ondes semi-linéaires
Surjectivity of an operator