Results 11 to 20 of about 920,770 (191)
Periodic solutions for an impulsive system of integro-differential equations with maxima [PDF]
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]
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]
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 +2 more
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A system of biadditive functional equations in Banach algebras
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 +2 more
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Systems of Linear Functional Equations
The square functional equation \[ (1)\quad f(x+t,y+t)+f(x+t,y-t)+f(x-t,y- t)+f(x-t,y+t)=4f(x,y), \] where f: \(R\times R\to R\) and x, y, t are real variables, was investigated by \textit{J. Acźel}, the reviewer, \textit{M. A. McKiernan} and \textit{G.N. Sakovič} [ibid. 1, 37-53 (1968; Zbl 0157.461)].
Laird, P.G., Mills, J.
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Andrews Style Partition Identities [PDF]
We propose a method to construct a variety of partition identities at once. The main application is an all-moduli generalization of some of Andrews' results in [5].
Kursungoz, Kagan, Kurşungöz, Kağan
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A system of additive functional equations in complex Banach algebras
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 +3 more
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ON A SYSTEM OF FUNCTIONAL EQUATIONS
The authors study the system of functional equations \[ \varphi_i(x)=\sum^n_{j=1}\sum^m_{k=1}a_{ijk}\biggl(x,\varphi_j\bigl(S_{ijk} (x)\bigr)\biggr)+g_i(x),\quad i=1,\dots,n,\quad x\in I\subset\mathbb{R}, \] where \(I\) is an interval and the given functions \(g_i:I\to I\) and \(a_{ijk}:I\times\mathbb{R}\to\mathbb{R}\) are continuous.
Nguyen Thanh Long +3 more
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General information conditioned by a variable event [PDF]
The aim of this paper is to present, by axiomatic way, an idea about the general conditional information of a single, fixed fuzzy set when the conditioning fuzzy event is variable. The properties of this conditional information are translated in a system
Divari Maria, VIVONA, Doretta
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Reduction of Linear Functional Systems using Fuhrmann's Equivalence
Functional systems arise in the treatment of systems of partial differential equations, delay-differential equations, multidimensional equations, etc. The problem of reducing a linear functional system to a system containing fewer equations and unknowns ...
Mohamed S. Boudellioua
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