On the controllability of a differential equation with delayed and advanced arguments.
On the existence of mild solutions for neutral functional differential inclusions in Banach space.
On the existence of mild solutions to some semilinear fractional integro-differential equations.
On the propagation of solutions of a Delay equation
On the solution set of second-order delay differential inclusions in Banach spaces
On the theory of functional-differential inclusions of neutral type.
On the topological structure of the solution set for a semilinear ffunctional-differential inclusion in a Banach space
In this paper we show that the set of all mild solutions of the Cauchy problem for a functional-differential inclusion in a separable Banach space E of the form x’(t) ∈ A(t)x(t) + F(t,xt) is an -set. Here A(t) is a family of linear operators and F is a Carathéodory type multifunction. We use the existence result proved by V. V. Obukhovskiĭ [22] and extend theorems on the structure of solutions sets obtained by N. S. Papageorgiou [23] and Ya. I. Umanskiĭ [32].
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.
Optimal LQ-feedback control for a class of first-order hyperbolic distributed parameter systems
The Linear-Quadratic (LQ) optimal control problem is studied for a class of first-order hyperbolic partial differential equation models by using a nonlinear infinite-dimensional (distributed parameter) Hilbert state-space description. First the dynamical properties of the linearized model around some equilibrium profile are studied. Next the LQ-feedback operator is computed by using the corresponding operator Riccati algebraic equation whose solution is obtained via a related matrix Riccati differential...
Orlicz type category theorems for functional and differential equations [Book]
Parabolic equations with coefficients depending on t and parameters
Parabolic equations with deviating argument in advance
Periodic solutions for some partial functional differential equations.
Periodic solutions of abstract and partial differential equations with deviation
Periodic solutions to retarded and partial functional differential equations.
Perturbed functional and neutral functional evolution equations with infinite delay in Fréchet spaces.
Point initial value problem for linear functional differential equations in Banach spaces.
Pseudo almost periodic solutions to some differential equations with infinite delay.
Quasilinear nonlocal integrodifferential equations in Banach spaces.
Random functional-differential inclusions with nonconvex right-hand side in a Banach space