Existence and uniqueness of solutions for a second-order nonlinear hyperbolic system

We study the existence, uniqueness and asymptotic behaviour of solutions to a second-order nonlinear hyperbolic system of equations. The spatial variable is in the positive half-axis.

Bibliographic Details
Main Author: Rodica Luca
Format: Article
Language:English
Published: Texas State University 2011-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/78/abstr.html
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author Rodica Luca
author_facet Rodica Luca
author_sort Rodica Luca
collection DOAJ
description We study the existence, uniqueness and asymptotic behaviour of solutions to a second-order nonlinear hyperbolic system of equations. The spatial variable is in the positive half-axis.
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spelling doaj.art-661687200de444b3845ccf80353ce6412022-12-21T23:17:43ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-06-01201178,111Existence and uniqueness of solutions for a second-order nonlinear hyperbolic systemRodica LucaWe study the existence, uniqueness and asymptotic behaviour of solutions to a second-order nonlinear hyperbolic system of equations. The spatial variable is in the positive half-axis.http://ejde.math.txstate.edu/Volumes/2011/78/abstr.htmlHyperbolic systemboundary conditionsCauchy problemmonotone operatorstrong solutionweak solution
spellingShingle Rodica Luca
Existence and uniqueness of solutions for a second-order nonlinear hyperbolic system
Electronic Journal of Differential Equations
Hyperbolic system
boundary conditions
Cauchy problem
monotone operator
strong solution
weak solution
title Existence and uniqueness of solutions for a second-order nonlinear hyperbolic system
title_full Existence and uniqueness of solutions for a second-order nonlinear hyperbolic system
title_fullStr Existence and uniqueness of solutions for a second-order nonlinear hyperbolic system
title_full_unstemmed Existence and uniqueness of solutions for a second-order nonlinear hyperbolic system
title_short Existence and uniqueness of solutions for a second-order nonlinear hyperbolic system
title_sort existence and uniqueness of solutions for a second order nonlinear hyperbolic system
topic Hyperbolic system
boundary conditions
Cauchy problem
monotone operator
strong solution
weak solution
url http://ejde.math.txstate.edu/Volumes/2011/78/abstr.html
work_keys_str_mv AT rodicaluca existenceanduniquenessofsolutionsforasecondordernonlinearhyperbolicsystem