Result: Solutions of periodic boundary value problems for second-order nonlinear differential equations via variational methods
Title:
Solutions of periodic boundary value problems for second-order nonlinear differential equations via variational methods
Authors:
Source:
Applied mathematics and computation. 217(14):6516-6525
Publisher Information:
Amsterdam: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 20 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, 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, Algèbre linéaire numérique, Numerical linear algebra, Equations aux dérivées partielles, problèmes aux valeurs limites, Partial differential equations, boundary value problems, 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, Algèbre linéaire numérique, Numerical linear algebra, Algebra lineal numérica, Analyse numérique, Numerical analysis, Análisis numérico, Calcul variationnel, Variational calculus, Cálculo de variaciones, Condition aux limites, Boundary condition, Condiciones límites, Degré topologique, Topological degree, Grado topológico, Equation algébrique, Algebraic equation, Ecuación algebraica, Equation dérivée partielle, Partial differential equation, Ecuación derivada parcial, Equation non linéaire, Non linear equation, Ecuación no lineal, Equation ordre 2, Second order equation, Ecuación orden 2, Equation transcendante, Transcendental equation, Ecuación trascendente, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Méthode optimisation, Optimization method, Método optimización, Non linéarité, Nonlinearity, No linealidad, Problème valeur limite, Boundary value problem, Problema valor limite, Programmation mathématique, Mathematical programming, Programación matemática, Solution positive, Positive solution, Solución positiva, Solution périodique, Periodic solution, Solución periódica, Valeur propre, Eigenvalue, Valor propio, Vecteur propre, Eigenvector, Vector propio, 49R50, 65F15, 65H17, 65K10, 65Kxx, 65N99, 65Nxx, Méthode topologique, Topological method, Boundary value problems, Eigenvalues, Periodic solutions, Variational methods
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
School of Mathematical Sciences, Dalian University of Technology, Dalian, 116023 Liaoning, China
ISSN:
0096-3003
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.23933034
Database:
PASCAL Archive
Further Information
By introducing a variational framework for a class of second order nonlinear differential equations with non-separated periodic boundary value conditions, some results on the existence of non-trivial, positive and negative solutions of the problems are obtained. Some results by Atici-Guseinov, Graef-Kong, etc. obtained by topological degree methods are extended. The resonant case of the problems where the nonlinearities are unbounded and satisfy Ahmad―Lazer―Paul type conditions is also considered.