On the regularity and non-regularity of elliptic and parabolic systems
On the regularity for 2nd order nonlinear elliptic 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 regularity of many-particle dynamical systems perturbed by white noise.
On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems
On the Relation Between Algebraic Stability and B-Convergence for Runge-Kutta Methods.
On the relation between boundedness and oscillation of solutions of many-dimensional differential systems with deviating arguments
On the relation between interior critical points of positive solutions and parameters for a class of nonlinear boundary value problems.
On the relation of delay equations to first-order hyperbolic partial differential equations
This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations. System-theoretic results are provided for both classes of systems (among them converse Lyapunov results). The proposed framework can allow the study of discontinuous solutions for nonlinear systems described by a single first-order hyperbolic partial differential equation under the effect of measurable inputs acting on...
On the relation of solutions and coefficients of linear differential equation
On the relationship between the initial and the multipoint boundary value problems for -th order linear differential equations with delay
On the relationship between the initial and the multipoint boundary value problems for -th-order linear differential equations of neutral type
On the resonance problem for the order ordinary differential equations, Fučík’s spectrum
On the Right Focal Point Boundary Value Problems for Linear Ordinary Differential Equations
Scopo della presente Nota è quello di fornire una maggiorazione della lunghezza dell'intervallo sul quale il problema (1) (2) (3) ammette soltanto la soluzione nulla.
On the second-order contingent set and differential inclusions.
On the selection and meaning of variable order operators for dynamic modeling.
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 sensitivity of the matrix exponential problem
On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions
We consider a class of nonconvex and nonclosed hyperbolic differential inclusions and we prove the arcwise connectedness of the solution set.
On the set-valued calculus in problems of viability and control for dynamic processes : the evolution equation