Results 211 to 220 of about 73,251 (265)

The solvability of a system of nonlinear equations

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021
It is proved: if $\phi(\tau,\xi)$ is a scalar continuous real function of arguments $\tau\in [a_{(n-1)},\ b_{(n-1)}]\subset R^{n-1},$
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Systems of Nonlinear Equations

1996
This chapter extends chapter 2 from solving one nonlinear equation in one unknown to systems of nonlinear equations. Assume that we are given a system of n nonlinear equations for an \( n \in \mathbb{N} \) with n ≥ 2: $$ \begin{cases} f_1 (x_1 ,x_2 , \ldots ,x_n ) = 0, \hfill \\ f_2 (x_1 ,x_2 , \ldots ,x_n ) = 0, \hfill \\ \vdots \,\,\,\,\,\,\,\,\,\
Gisela Engeln-Müllges, Frank Uhlig
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On a system of nonlinear diffusion equations

Funkcialaj Ekvacioj, 1984
In this paper existence and uniqueness of solution is considered for a particular form of the coupled reaction-diffusion equations \[ u_ t- \sum^{N}_{i=1}(| u_{x_ i}|^{m-1}u_{x_ i})_{x_ i}+u| v|^{\alpha +1}=0,\quad v_ t-\sum^{N}_{i=1}(| v_{x_ i}|^{m-1}v_{x_ i})_{x_ i}-ku| v|^{\alpha +1}=0, \] in \(\Omega \times (0,\infty)\) with \(u,v(\partial \Omega ...
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Metrological Approach to Solve Nonlinear Equations and Systems of Nonlinear Equations

2021 XXIV International Conference on Soft Computing and Measurements (SCM), 2021
This paper presents an approach to solving nonlinear equations and systems of nonlinear equations that appear when performing indirect measurements, which fully satisfies the metrological requirements for their results. The proposed method is based on the bisection technique and allows obtain reliable estimates of the desired equations solutions and ...
Anastasiia A. Tselishcheva, Konstantin K. Semenov   +1 more
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Nonlinear equations and systems

2002
Abstract From the existence of solutions to their construction Existence and non-existence of solutions Let f be a continuous mapping from an open subset of ℝn to ℝn . We want to approximate numerically a solution of the system.
Michelle Schatzman, John Taylor
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Nonlinear Systems of Equations

1999
The solution of nonlinear systems of equations is an important problem in engineering. Applications include identifying the multiple steady states of a reactor network (Folger, 1986; Schlosser and Feinberg, 1994), predicting the azeotropes formed in a nonideal mixture (Fidkowski et al., 1993; Maranas et al., 1996), finding the steady-states of a ...
Christodoulos A. Floudas, Pãnos M. Pardalos, Claire S. Adjiman, William R. Esposito, Zeynep H. Gümüş, Stephen T. Harding, John L. Klepeis, Clifford A. Meyer, Carl A. Schweiger   +8 more
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Nonlinear Equations and Systems

2016
The mathematical models of processes in technology, economics, and nature are often nonlinear.
Gisbert Stoyan, Agnes Baran
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Nonlinear Systems of Equations

1993
In Chapter 6, we considered the problem of finding zeros (or roots) of nonlinear functions of a single variable. Now, we consider its generalization, the problem of finding the solution vectors of a system of nonlinear equations. We give a method for finding all solutions of a nonlinear system of equations f(x) = 0 for a continuously differentiable ...
Ulrich Kulisch, Rolf Hammer, Matthias Hocks, Dietmar Ratz   +3 more
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A bisection method for systems of nonlinear equations

ACM Transactions on Mathematical Software, 1984
Summary: This paper describes an algorithm for the solution of a system of nonlinear equations \(F(X)=\theta\), where \(\theta =(0,...,0)\in R^ n\), and F is a given continuous transformation of n-dimensional simplex S into \(R^ n\) (\(n\geq 2)\). The program is based on computation of the topological degree (deg) of a mapping and a simplex-bisection ...
Amir Eiger, Kris Sikorski, Frank Stenger
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Reducing Nonlinear Systems of Transport Equations to Laplace’s Equation

SIAM Journal on Applied Mathematics, 1993
Summary: Steady-state systems of coupled nonlinear transport equations are considered with boundary conditions determined by an electrochemical reaction (or reactions) on an electrode surface. A heuristic method for reducing such systems to a single Laplace equation with a nonlinear boundary condition is illustrated on several different examples.
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