Results 11 to 20 of about 164,099 (264)
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Liu, Z, Agarwal, R.P, Kang, S.M
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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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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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Solutions to a system of equations for $C^m$ functions [PDF]
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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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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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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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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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
Motivated by the theory of generalized Appel sequences when looking for the square roots of the Laguerre sequence, the authors study the system of functional equations (1) \(H(H(t))=t/(t-1)\); (2) \(G(t)G(H(t))=(1- t)^{-\alpha -1}\), \(\alpha >-1\), in the class of formal power series (3) \(H(t)=\sum^{\infty}_{k=1}h_ kt^ k\), \(G(t)=\sum^{\infty}_{k=0 ...
Kuczma, Marek, Choczewski, Bogdan
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