First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities

First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities

In this paper some existence theorems for the first order differential equations in Banach algebras is proved under the mixed generalized Lipschitz, Carathéodory and monotonicity conditions.

Bibliographic Details
Main Authors: Bapurao Dhage, B. D. Karande
Format: Article
Language:English
Published: University of Szeged 2005-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=232
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spelling doaj-5fc1ea37fcd34695a110d5058029477d2021-07-14T07:21:19ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752005-11-0120052111610.14232/ejqtde.2005.1.21232First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearitiesBapurao Dhage0B. D. Karande1Kasubai, Gurukul Colony, Ahmedpur, Maharashtra, IndiaKasubai, Gurucul Colony, Maharashtra, IndiaIn this paper some existence theorems for the first order differential equations in Banach algebras is proved under the mixed generalized Lipschitz, Carathéodory and monotonicity conditions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=232
collection DOAJ
language English
format Article
sources DOAJ
author Bapurao Dhage
B. D. Karande
spellingShingle Bapurao Dhage
B. D. Karande
First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Bapurao Dhage
B. D. Karande
author_sort Bapurao Dhage
title First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities
title_short First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities
title_full First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities
title_fullStr First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities
title_full_unstemmed First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities
title_sort first order integro-differential equations in banach algebras involving caratheodory and discontinuous nonlinearities
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2005-11-01
description In this paper some existence theorems for the first order differential equations in Banach algebras is proved under the mixed generalized Lipschitz, Carathéodory and monotonicity conditions.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=232
work_keys_str_mv AT bapuraodhage firstorderintegrodifferentialequationsinbanachalgebrasinvolvingcaratheodoryanddiscontinuousnonlinearities
AT bdkarande firstorderintegrodifferentialequationsinbanachalgebrasinvolvingcaratheodoryanddiscontinuousnonlinearities
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