On the weakly almost periodic solutions of certain abstract differential equations
On type of periodicity and ergodicity to a class of fractional order differential equations.
On uniform exponential stability of periodic evolution operators in Banach spaces.
On weak solution to a hyperbolic differential inclusion with nonmonotone discontinuous nonlinear term.
On weak solutions of functional-differential abstract nonlocal Cauchy problems
The existence, uniqueness and asymptotic stability of weak solutions of functional-differential abstract nonlocal Cauchy problems in a Banach space are studied. Methods of m-accretive operators and the Banach contraction theorem are applied.
On weighted positivity of ordinary differential operators.
On well-posedness of the nonlocal boundary value problem for parabolic difference equations.
Opérateurs différentiels et courbes elliptiques
Optimal control of impulsive stochastic evolution inclusions
In this paper, we consider a class of infinite dimensional stochastic impulsive evolution inclusions driven by vector measures. We use stochastic vector measures as controls adapted to an increasing family of complete sigma algebras and prove the existence of optimal controls.
Optimal control of nonlinear evolution equations
In this paper, first we consider parametric control systems driven by nonlinear evolution equations defined on an evolution triple of spaces. The parametres are time-varying probability measures (Young measures) defined on a compact metric space. The appropriate optimization problem is a minimax control problem, in which the system analyst minimizes the maximum cost (risk). Under general hypotheses on the data we establish the existence of optimal controls. Then we pass to nonparametric...
Optimal control of nonlinear second order evolution equations.
Optimal control of semilinear evolution inclusions via discrete approximations
Optimization and identification of nonlinear uncertain systems
In this paper we consider the optimal control of both operators and parameters for uncertain systems. For the optimal control and identification problem, we show existence of an optimal solution and present necessary conditions of optimality.
Ordinary differential equations, transport theory and Sobolev spaces.
Osgood type conditions for an m th-order differential equation
We present a new theorem on the differential inequality . Next, we apply this result to obtain existence theorems for the equation .
Parabolicity of second order differential equations in Hubert space.
Parametrized relaxation for evolution inclusions of the subdifferential type
In this paper we consider parametric nonlinear evolution inclusions driven by time-dependent subdifferentials. First we prove some continuous dependence results for the solution set (of both the convex and nonconvex problems) and for the set of solution-selector pairs (of the convex problem). Then we derive a continuous version of the “Filippov-Gronwall” inequality and using it, we prove the parametric relaxation theorem. An example of a parabolic distributed parameter system is also worked out...
Periodic and almost periodic solutions for multi-valued differential equations in Banach spaces.
Periodic and aqlmost-periodic solutions of semihnear equations in Banach spaces.
Periodic boundary value problem in Hilbert space for differential equation of second order with reflection of the argument