Monotone method for nonlinear nonlocal hyperbolic problems

Monotone method for nonlinear nonlocal hyperbolic problems

We present recent results concerning the application of the monotone method for studying existence and uniqueness of solutions to general first-order nonlinear nonlocal hyperbolic problems. The limitations of comparison principles for such nonlocal problems are discussed. To overcome these limitatio...

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Bibliographic Details
Main Authors: Azmy S. Ackleh, Keng Deng
Format: Article
Language:English
Published: Texas State University 2003-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Nonlinear nonlocal hyperbolic IBVP
monotone approximation
existence uniqueness.
Online Access:http://ejde.math.txstate.edu/conf-proc/10/a2/abstr.html
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spelling doaj-44197a224f524c35b079275cabbf90f22020-11-25T02:09:38ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-02-01Conference101122Monotone method for nonlinear nonlocal hyperbolic problemsAzmy S. AcklehKeng DengWe present recent results concerning the application of the monotone method for studying existence and uniqueness of solutions to general first-order nonlinear nonlocal hyperbolic problems. The limitations of comparison principles for such nonlocal problems are discussed. To overcome these limitations, we introduce new definitions for upper and lower solutions. http://ejde.math.txstate.edu/conf-proc/10/a2/abstr.htmlNonlinear nonlocal hyperbolic IBVPmonotone approximationexistence uniqueness.
collection DOAJ
language English
format Article
sources DOAJ
author Azmy S. Ackleh
Keng Deng
spellingShingle Azmy S. Ackleh
Keng Deng
Monotone method for nonlinear nonlocal hyperbolic problems
Electronic Journal of Differential Equations
Nonlinear nonlocal hyperbolic IBVP
monotone approximation
existence uniqueness.
author_facet Azmy S. Ackleh
Keng Deng
author_sort Azmy S. Ackleh
title Monotone method for nonlinear nonlocal hyperbolic problems
title_short Monotone method for nonlinear nonlocal hyperbolic problems
title_full Monotone method for nonlinear nonlocal hyperbolic problems
title_fullStr Monotone method for nonlinear nonlocal hyperbolic problems
title_full_unstemmed Monotone method for nonlinear nonlocal hyperbolic problems
title_sort monotone method for nonlinear nonlocal hyperbolic problems
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2003-02-01
description We present recent results concerning the application of the monotone method for studying existence and uniqueness of solutions to general first-order nonlinear nonlocal hyperbolic problems. The limitations of comparison principles for such nonlocal problems are discussed. To overcome these limitations, we introduce new definitions for upper and lower solutions.
topic Nonlinear nonlocal hyperbolic IBVP
monotone approximation
existence uniqueness.
url http://ejde.math.txstate.edu/conf-proc/10/a2/abstr.html
work_keys_str_mv AT azmysackleh monotonemethodfornonlinearnonlocalhyperbolicproblems
AT kengdeng monotonemethodfornonlinearnonlocalhyperbolicproblems
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