11 papers
Explicit representation of solutions to a linear wave equation with time delay
Javad A. Asadzade, Jasarat J. Gasimov, Nazim I. Mahmudov +1
This paper develops an explicit spectral representation for solutions of a one-dimensional linear wave equation with a constant time delay. The model is considered on a bounded int…
Stochastic Maximum Principles and Linear-Quadratic Optimal Control Problems for Fractional Backward Stochastic Evolution Equations in Hilbert Spaces
Javad A. Asadzade, Nazim I. Mahmudov
This paper develops a comprehensive framework for optimal control of systems governed by fractional backward stochastic evolution equations (FBSEEs) in Hilbert spaces. We first est…
Approximate Controllability of Linear Fractional Impulsive Evolution Equations in Hilbert Spaces
Javad A. Asadzade, Nazim I. Mahmudov
This paper investigates the approximate controllability of linear fractional impulsive evolution equations in Hilbert spaces. The system under consideration involves the Caputo fra…
Representation of solutions to continuous and discrete first-order linear matrix equations with delay
Javad A. Asadzade, Nazim I. Mahmudov
In this paper, we study continuous and discrete linear delay systems given respectively by \[ \dot{X}(ξ) = A_0 X(ξ) + X(ξ)A_1 + B_0 X(ξ-Ï) + X(ξ-Ï)B_1 + G(ξ), \] and its di…
Solvability and Optimal Controls of Impulsive Stochastic Evolution Equations in Hilbert Spaces
Javad A. Asadzade, Nazim I. Mahmudov
This paper investigates the solvability and optimal control of a class of impulsive stochastic differential equations (SDEs) within a Hilbert space setting. First, we establish the…
Remarks on finite-approximate controllability of impulsive evolution systems via resolvent-like operator in Hilbert spaces
Javad A. Asadzade, Nazim I. Mahmudov
In this manuscript, we examine impulsive evolution systems in Hilbert spaces. Using a resolvent-like operator, we first establish the finite-approximate controllability for linear…