A multiplicity fixed point theorem in Fréchet spaces.
A necessary and sufficient condition for uniqueness of solutions of singular differential inequalities.
A new a priori estimate for multi-point boundary-value problem.
A new characterization of -bounded semigroups with application to implicit evolution equations.
A non-linear hyperbolic equation.
A note on almost periodic solutions of semilinear equations in Banach spaces.
A note on differential and integral equations in locally convex spaces
A note on stability properties of integrated semigroups
A note on the comparison of C0-semigroups.
A note on the difference schemes for hyperbolic equations.
A note on the difference schemes for hyperbolic-elliptic equations.
A note on the parabolic differential and difference equations.
A note on the periods of periodic solutions of some autonomous functional differential equations.
A note on the spectral operators of scalar type and semigroups of bounded linear operators.
A periodic boundary value problem in Hilbert space
In the paper some existence results for periodic boundary value problems for the ordinary differential equation of the second order in a Hilbert space are given. Under some auxiliary assumptions the set of solutions is compact and connected or it is convex.
A principle of linearization in theory of stability of solutions of variational inequalities
It is shown that the uniform exponential stability and the uniform stability at permanently acting disturbances of a sufficiently smooth but not necessarily steady-state solution of a general variational inequality is a consequence of the uniform exponential stability of a zero solution of another (so called linearized) variational inequality.
A priori estimates for the existence of a solution for a multi-point boundary value problem.
A remark about a Galerkin method
It is shown that the approximating equations whose existence is required in the author's previous work on partially regular weak solutions can be constructed without any additional assumption about the equation itself. This leads to a variation of a Galerkin method.
A second-order impulsive Cauchy problem.
A solution of the Cauchy problem in the class of absolutely continuous distribution-valued functions.