Results 1 to 10 of about 152,729 (161)

A system of biadditive functional equations in Banach algebras

Applied Mathematics in Science and Engineering, 2023
In this paper, we obtain the general solution and the Hyers-Ulam stability of the system of biadditive functional equations $$\begin{align*} \begin{cases} 2f(x+y,z+w)-g(x,z)-g(x,w)=g(y,z)+g(y,w)\\ g(x+y,z+w)-2f(x-y,z-w)=4f(x,w)+4f(y,z) \end{cases} \end ...
Yamin Sayyari, Mehdi Dehghanian, Choonkil Park   +2 more
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A system of additive functional equations in complex Banach algebras

Demonstratio Mathematica, 2023
In this article, we solve the system of additive functional equations: 2f(x+y)−g(x)=g(y),g(x+y)−2f(y−x)=4f(x)\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}2f\left(x+y)-g\left(x)=g(y),\\ g\left(x+y)-2f(y-x)=4f\left(x)\end{array}\right.
Paokanta Siriluk, Dehghanian Mehdi, Park Choonkil, Sayyari Yamin   +3 more
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On solvability of functional equations and system of functional equations arising in dynamic programming

Journal of Mathematical Analysis and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Z, Agarwal, R.P, Kang, S.M
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Combined system of additive functional equations in Banach algebras

Open Mathematics
In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
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Linear Approximation And Asymptotic Expansion Associated With The System Of Nonlinear Functional Equations

Demonstratio Mathematica, 2014
This paper is devoted to the study of the following perturbed system of nonlinear functional equations x ∊Ω=[-b,b], i = 1,…., n; where ε is a small parameter, aijk; bijk are the given real constants, Rijk, Sijk , Xijk : Ω → Ω ,gi → Ω →ℝ , Ψ: Ω x ℝ2→ ℝ ...
Ngoc Le Thi Phuong, Dung Huynh Thi Hoang, Danh Pham Hong, Long Nguyen Thanh   +3 more
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SOME EXISTENCE THEOREMS FOR FUNCTIONAL EQUATIONS AND SYSTEM OF FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING

Taiwanese Journal of Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zeqing, Ume, Jeong Sheok, Kang, Shin Min   +2 more
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Periodic solutions for an impulsive system of integro-differential equations with maxima [PDF]

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
A periodical boundary value problem for a first-order system of ordinary integro-differential equations with impulsive effects and maxima is investigated.
Tursun K. Yuldashev
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Nonpotentiality of a diffusion system and the construction of a semi-bounded functional [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2021
The wide prevalence and the systematic variational principles are used in mathematics and applications due to a series of remarkable consequences among which the possibility to establish the existence of the solutions of the initial equations ...
V.M. Savchin, L.T. Huyen
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Attractors of 2D Navier–Stokes system of equations in a locally periodic porous medium [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
This article deals with two-dimensional Navier–Stokes system of equations with rapidly oscillating term in the equations and boundary conditions. Studying the problem in a perforated domain, the authors set homogeneous Dirichlet condition on the
K.A. Bekmaganbetov, G.A. Chechkin, A.M. Toleubay   +2 more
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Solutions to a system of equations for $C^m$ functions [PDF]

Revista Matemática Iberoamericana, 2020
Fix m\geq 0 , and let A=(A_{ij}(x))_{1 \leq i \leq N, 1\leq j \leq M} be a matrix of semialgebraic functions on \mathbb{R}^
Fefferman, Charles, Luli, Garving K.
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