Zobrazeno 1 - 10
of 298
pro vyhledávání: '"Mahmudov, Nazim I."'
Autor:
Asadzade, Javad A., Mahmudov, Nazim I.
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 are described by differential systems under impulse effects. The curre
Externí odkaz:
http://arxiv.org/abs/2411.02766
In this paper, we examine the Diophantine problem given by the equation $F_n = F_l^k (F_l^m - 1)$, where $n, l, m \geq 1$ and $k \geq 3$. Here, $\{ F_t \}_{t=0}^{\infty} $ denotes the Fibonacci numbers, defined by the recurrence relation $F_0 = 0$, $
Externí odkaz:
http://arxiv.org/abs/2409.02047
Autor:
Asadzade, Javad A., Mahmudov, Nazim I.
This paper examines the solvability and optimal control of a class of impulsive stochastic evolution equations in a Hilbert space. First, we investigate the existence and uniqueness of mild solutions for the considered system. Next, we determine the
Externí odkaz:
http://arxiv.org/abs/2407.13496
Autor:
Asadzade, Javad A., Mahmudov, Nazim I.
In this paper, we investigate the approximate controllability of linear fractional impulsive evolution equations in Hilbert spaces. We provide a representation of solutions utilizing impulsive operators. Necessary and sufficient conditions for the ap
Externí odkaz:
http://arxiv.org/abs/2406.15114
Autor:
Asadzade, Javad A., Mahmudov, Nazim I.
In this manuscript, we investigate a fractional stochastic neutral differential equation with time delay, which includes both deterministic and stochastic components. Our primary objective is to rigorously prove the existence of a unique solution tha
Externí odkaz:
http://arxiv.org/abs/2403.00650
This work studies a class of singular Volterra integral equations that are (controlled) and can be applied to memory-related problems.For optimum controls, we prove a second-order Pontryagin type maximal principle.
Externí odkaz:
http://arxiv.org/abs/2401.15740
Autor:
Asadzade, Javad A., Mahmudov, Nazim I.
This manuscript examines the problem of nonlinear stochastic fractional neutral integro-differential equations with weakly singular kernels. Our focus is on obtaining precise estimates to cover all possible cases of Abel-type singular kernels. Initia
Externí odkaz:
http://arxiv.org/abs/2401.15407
In this research paper, we examine an optimal control problem involving a dynamical system governed by a nonlinear Caputo fractional time-delay state equation. The primary objective of this study is to obtain the necessary conditions for optimality,
Externí odkaz:
http://arxiv.org/abs/2401.13813
This paper addresses A Pillai-Catalan-type problem assosiated with Fibonacci numbers. Let $F_{n}$ be the Fibonacci numbers defined by the recurrence relation $F_{1}=1$, $F_{2}=1$ and $F_{n}=F_{n-1}+F_{n-2}$ for all $n\geq 3$. We will find all positiv
Externí odkaz:
http://arxiv.org/abs/2401.08205
Autor:
Aydin, Mustafa, Mahmudov, Nazim I.
The linear nonhomogeneous fractional difference system with constant coefficients is introduced. An explicit solution to the system is acquired by proposing a newly discrete retarded perturbation of the nabla Mittag-Leffer-type function containing su
Externí odkaz:
http://arxiv.org/abs/2401.03299