A note on the existence of solutions to some nonlinear functional integral equations

Substituting the usual growth condition by an assumption that a specific initial value problem has a maximal solution, we obtain existence results for functional nonlinear integral equations with variable delay. Application of the technique to initial value problems for differential equations as wel...

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Main Author:	Ioannis Purnaras
Format:	Article
Language:	English
Published:	University of Szeged 2006-10-01
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=256

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spelling	doaj-41272fd90c164837a2a2b0633d836e772021-07-14T07:21:19ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752006-10-0120061712410.14232/ejqtde.2006.1.17256A note on the existence of solutions to some nonlinear functional integral equationsIoannis Purnaras0University of Ioannina, Ioannina, GreeceSubstituting the usual growth condition by an assumption that a specific initial value problem has a maximal solution, we obtain existence results for functional nonlinear integral equations with variable delay. Application of the technique to initial value problems for differential equations as well as to integrodifferential equations are given.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=256
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ioannis Purnaras
spellingShingle	Ioannis Purnaras A note on the existence of solutions to some nonlinear functional integral equations Electronic Journal of Qualitative Theory of Differential Equations
author_facet	Ioannis Purnaras
author_sort	Ioannis Purnaras
title	A note on the existence of solutions to some nonlinear functional integral equations
title_short	A note on the existence of solutions to some nonlinear functional integral equations
title_full	A note on the existence of solutions to some nonlinear functional integral equations
title_fullStr	A note on the existence of solutions to some nonlinear functional integral equations
title_full_unstemmed	A note on the existence of solutions to some nonlinear functional integral equations
title_sort	note on the existence of solutions to some nonlinear functional integral equations
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2006-10-01
description	Substituting the usual growth condition by an assumption that a specific initial value problem has a maximal solution, we obtain existence results for functional nonlinear integral equations with variable delay. Application of the technique to initial value problems for differential equations as well as to integrodifferential equations are given.
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=256
work_keys_str_mv	AT ioannispurnaras anoteontheexistenceofsolutionstosomenonlinearfunctionalintegralequations AT ioannispurnaras noteontheexistenceofsolutionstosomenonlinearfunctionalintegralequations
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A note on the existence of solutions to some nonlinear functional integral equations

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