On the quasiuniqueness of solutions of degenerate equations in Hilbert space.
On the question of generalized solution to algebro-differential systems.
On the regularity of abstract Cauchy problems and boundary value problems
Maximal regularity (in -sense) for abstract Cauchy problems of order one and boundary value problems of order two is studied. In general, regularity of the first problems implies regularity of the second ones; the converse is shown to hold if the underlying Banach space has the UMD property. A stronger notion of regularity, introduced by Sobolevskii, plays an important role in the proofs.
On the semilinear multi-valued flow under constraints and the periodic problem
In the paper we will be concerned with the topological structure of the set of solutions of the initial value problem of a semilinear multi-valued system on a closed and convex set. Assuming that the linear part of the system generates a -semigroup we show the -structure of this set under certain natural boundary conditions. Using this result we obtain several criteria for the existence of periodic solutions for the semilinear system. As an application the problem of controlled heat transfer...
On the solution set of nonconvex subdifferential evolution inclusions
On the solution set of second-order delay differential inclusions in Banach spaces
On the solutions of the inhomogeneous evolution equation in Banach spaces
Vengono dati nuovi teoremi di regolarità per le soluzioni dell'equazione nel caso in cui è il generatore infinitesimale di un semigruppo analitico in uno spazio di Banach e è una funzione continua.
On the solvability of a fourth order operator differential equations.
On the solvability of the Lyapunov equation for nonselfadjoint differential operators of order 2m with nonlocal boundary conditions
This paper is devoted to the solvability of the Lyapunov equation A*U + UA = I, where A is a given nonselfadjoint differential operator of order 2m with nonlocal boundary conditions, A* is its adjoint, I is the identity operator and U is the selfadjoint operator to be found. We assume that the spectra of A* and -A are disjoint. Under this restriction we prove the existence and uniqueness of the solution of the Lyapunov equation in the class of bounded operators.
On the spectrum of weakly almost periodic solutions of certain abstract differential equations.
On the stability of stationary solutions of a linear integro-differential equation.
On the Stepanov almost periodic solution of a second-order infinitesimal generator differential equation.
On the structure of solution sets of differential equations in Banach spaces
On the structure of solutions sets of differential and integral equations in Banach spaces
On the structure of the solution set of evolution inclusions with Fréchet subdifferentials.
On the structure of the solution set of evolution inclusions with time-dependent subdifferentials.
On the structure of the solution set of evolution inclusions with time-dependent subdifferentials
On the theory of functional-differential inclusions of neutral type.
On the Timoshenko type equations
On the topological dimension of the solutions sets for some classes of operator and differential inclusions
In the present paper, we give the lower estimation for the topological dimension of the fixed points set of a condensing continuous multimap in a Banach space. The abstract result is applied to the fixed point set of the multioperator of the form where is the superposition multioperator generated by the Carathéodory type multifunction F and S is the shift of a linear injective operator. We present sufficient conditions under which this set has the infinite topological dimension. In the last...