13 citations · 29 across the 13 of their papers we have counts for
13 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…
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 \[ \dot{X}(ξ) = A_0 X(ξ) + X(ξ)A_1 + B_0 X(ξ-σ) + X(ξ-σ)B_1 + G(ξ), \] and its discrete a…
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…
Singular mean-field backward stochastic Volterra integral equations in infinite dimensional spaces
Javad A. Asadzade, Nazim I. Mahmudov
This paper investigates the well-posedness of singular mean-field backward stochastic Volterra integral equations (MF-BSVIEs) in infinite-dimensional spaces. We consider the equati…
Approximate controllability of impulsive semilinear evolution equations in Hilbert spaces
Javad A. Asadzade, Nazim I. Mahmudov
Several dynamical systems in fields such as engineering, chemistry, biology, and physics show impulsive behavior by reason of unexpected changes at specific times. These behaviors…
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…
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…
Finite Time Stability Analysis for Fractional Stochastic Neutral Delay Differential Equations
Javad A. Asadzade, Nazim I. Mahmudov
In this manuscript, we investigate a fractional stochastic neutral differential equation with time delay, which includes both deterministic and stochastic components. Our primary o…
Euler-Maruyama approximation for stochastic fractional neutral integro-differential equations with weakly singular kernel
Javad A. Asadzade, Nazim I. Mahmudov
This manuscript examines the problem of nonlinear stochastic fractional neutral integro-differential equations with weakly singular kernels. Our focus is on obtaining precise estim…
Pontryagin maximum principle for fractional delay differential equations and controlled weakly singular Volterra delay integral equations
Jasarat J. Gasimov, Javad A. Asadzade, Nazim I. Mahmudov
In this article, we explore two distinct issues. Initially, we examine the utilization of the Pontriagin maximum principle in relation to fractional delay differential equations. A…
On solvability in the small of higher order elliptic equations in Orlicz-Sobolev spaces
Javad A. Asadzade
In this article, we consider a higher-order elliptic equation with nonsmooth coefficients with respect to Orlicz spaces on the domain . The separable subspa…
Delayed Gronwall inequality with weakly singular kernel
Javad A. Asadzade, Jasarat J. Gasimov, Nazim I. Mahmudov
Delay Gronwall inequality with a weakly singular kernel has been a subject of interest in various mathematical studies. In this article, we will delve into the consideration of thi…