Result: On the existence of solutions for a system of difference equations with non-monotone nonlinearity
Title:
On the existence of solutions for a system of difference equations with non-monotone nonlinearity
Authors:
Source:
Applied mathematics letters. 24(12):2015-2018
Publisher Information:
Kidlington: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 8 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Mathematics, Mathématiques, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Equations algébriques et transcendantes non linéaires, Nonlinear algebraic and transcendental equations, Equations aux différences et fonctionnelles, relations de récurrence, Difference and functional equations, recurrence relations, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Optimisation et calcul variationnel numériques, Numerical methods in optimization and calculus of variations, Dualité, Duality, Dualidad, Equation différences, Difference equation, Ecuación diferencias, Existence solution, Existence of solution, Existencia de solución, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Non linéarité, Nonlinearity, No linealidad, Problème Dirichlet, Dirichlet problem, Problema Dirichlet, Problème valeur limite, Boundary value problem, Problema valor limite, Système non linéaire, Non linear system, Sistema no lineal, Système équation, Equation system, Sistema ecuación, 39XX, 49R50, 65H10, 65K10, 65Kxx, 65N99, 65Nxx, 65Q05, Système monotone, Monotone system, Nonlinear system, Variational method
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland
ISSN:
0893-9659
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24435597
Database:
PASCAL Archive
Further Information
We derive a dual variational method in order to obtain the existence of a bounded solution to a certain nonlinear system with non-monotone nonlinearities. We consider such a system representing a difference equation arising from evaluating some Dirichlet boundary value problems.