Semilinear integro-differential equations with compact semigroups.
Singular integral inequalities and stability of semilinear parabolic equations
Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.
Smoothing effect and discretization in time to semilinear parabolic equations with nonsmooth data
The purpose of this paper is to derive the error estimates for discretization in time of a semilinear parabolic equation in a Banach space. The estimates are given in the norm of the space for when the initial condition is not regular.
Solutions of abstract hyperbolic equations by Rothe method.
Solutions to fractional differential equations with nonlocal initial condition in Banach spaces.
Solvability and asymptotic behavior of solutions of ordinary differential equations with variable operator coefficients
Solvability for a class of abstract two-point boundary value problems derived from optimal control.
Solvability of a multi-point boundary value problen of Neumann type.
Some applications of Zygmund's lemma to nonlinear differential equations in Banach and Hilbert spaces
Some compactness methods in the theory of nonlinear evolution equations with applications to P.D.E.
Some existence results for boundary value problems of fractional semilinear evolution equations.
Some remarks concerning a class of nonlinear evolution equations in Hilbert spaces
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.
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