The method of upper and lower solutions for Caratheodory n-th order differential inclusions

The method of upper and lower solutions for Caratheodory n-th order differential inclusions

In this paper, we prove an existence theorem for n-th order differential inclusions under Caratheodory conditions. The existence of extremal solutions is also obtained under certain monotonicity condition of the multi-function.

Bibliographic Details
Main Authors: Bupurao C. Dhage, Tarachand L. Holambe, Sotiris K. Ntouyas
Format: Article
Language:English
Published: Texas State University 2004-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Differential inclusion
method of upper and lower solutions
existence theorem.
Online Access:http://ejde.math.txstate.edu/Volumes/2004/08/abstr.html
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spelling doaj-0ec18ac5237446f8b2e065c55bf864552020-11-24T22:27:11ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-01-0120040819The method of upper and lower solutions for Caratheodory n-th order differential inclusionsBupurao C. DhageTarachand L. HolambeSotiris K. NtouyasIn this paper, we prove an existence theorem for n-th order differential inclusions under Caratheodory conditions. The existence of extremal solutions is also obtained under certain monotonicity condition of the multi-function. http://ejde.math.txstate.edu/Volumes/2004/08/abstr.htmlDifferential inclusionmethod of upper and lower solutionsexistence theorem.
collection DOAJ
language English
format Article
sources DOAJ
author Bupurao C. Dhage
Tarachand L. Holambe
Sotiris K. Ntouyas
spellingShingle Bupurao C. Dhage
Tarachand L. Holambe
Sotiris K. Ntouyas
The method of upper and lower solutions for Caratheodory n-th order differential inclusions
Electronic Journal of Differential Equations
Differential inclusion
method of upper and lower solutions
existence theorem.
author_facet Bupurao C. Dhage
Tarachand L. Holambe
Sotiris K. Ntouyas
author_sort Bupurao C. Dhage
title The method of upper and lower solutions for Caratheodory n-th order differential inclusions
title_short The method of upper and lower solutions for Caratheodory n-th order differential inclusions
title_full The method of upper and lower solutions for Caratheodory n-th order differential inclusions
title_fullStr The method of upper and lower solutions for Caratheodory n-th order differential inclusions
title_full_unstemmed The method of upper and lower solutions for Caratheodory n-th order differential inclusions
title_sort method of upper and lower solutions for caratheodory n-th order differential inclusions
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2004-01-01
description In this paper, we prove an existence theorem for n-th order differential inclusions under Caratheodory conditions. The existence of extremal solutions is also obtained under certain monotonicity condition of the multi-function.
topic Differential inclusion
method of upper and lower solutions
existence theorem.
url http://ejde.math.txstate.edu/Volumes/2004/08/abstr.html
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AT tarachandlholambe themethodofupperandlowersolutionsforcaratheodorynthorderdifferentialinclusions
AT sotiriskntouyas themethodofupperandlowersolutionsforcaratheodorynthorderdifferentialinclusions
AT bupuraocdhage methodofupperandlowersolutionsforcaratheodorynthorderdifferentialinclusions
AT tarachandlholambe methodofupperandlowersolutionsforcaratheodorynthorderdifferentialinclusions
AT sotiriskntouyas methodofupperandlowersolutionsforcaratheodorynthorderdifferentialinclusions
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