$Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach space$

Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach space

In this article we consider nonlinear differential equations with $\psi$-exponential and $\psi$-ordinary dichotomous linear part in a Banach space. By the help of the fixed point principle of Banach sufficient conditions are found for the existence of $\psi$-bounded solutions of these equations on $...

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Main Authors:	Atanaska Georgieva, Hristo Kiskinov, Stepan Kostadinov, Andrey Zahariev
Format:	Article
Language:	English
Published:	University of Szeged 2014-03-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Subjects:	$\psi$-dichotomy for ordinary differential equations $\psi$-boundedness.
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2554

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spelling	doaj-f4895d3b02c941d68cdc63843354b0262021-07-14T07:21:25ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752014-03-012014211010.14232/ejqtde.2014.1.22554Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach spaceAtanaska Georgieva0Hristo Kiskinov1Stepan Kostadinov2Andrey Zahariev3Plovdiv University, Plovdiv, BulgariaFaculty of Mathematics and Informatics, University of Plovdiv, BulgariaFaculty of Mathematics and Informatics, University of Plovdiv, BulgariaFaculty of Mathematics and Informatics, University of Plovdiv, BulgariaIn this article we consider nonlinear differential equations with $\psi$-exponential and $\psi$-ordinary dichotomous linear part in a Banach space. By the help of the fixed point principle of Banach sufficient conditions are found for the existence of $\psi$-bounded solutions of these equations on $\mathbb{R}$ and $\mathbb{R}_+$.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2554$\psi$-dichotomy for ordinary differential equations$\psi$-boundedness.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Atanaska Georgieva Hristo Kiskinov Stepan Kostadinov Andrey Zahariev
spellingShingle	Atanaska Georgieva Hristo Kiskinov Stepan Kostadinov Andrey Zahariev Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach space Electronic Journal of Qualitative Theory of Differential Equations $\psi$-dichotomy for ordinary differential equations $\psi$-boundedness.
author_facet	Atanaska Georgieva Hristo Kiskinov Stepan Kostadinov Andrey Zahariev
author_sort	Atanaska Georgieva
title	Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach space
title_short	Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach space
title_full	Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach space
title_fullStr	Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach space
title_full_unstemmed	Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach space
title_sort	existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a banach space
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2014-03-01
description	In this article we consider nonlinear differential equations with $\psi$-exponential and $\psi$-ordinary dichotomous linear part in a Banach space. By the help of the fixed point principle of Banach sufficient conditions are found for the existence of $\psi$-bounded solutions of these equations on $\mathbb{R}$ and $\mathbb{R}_+$.
topic	$\psi$-dichotomy for ordinary differential equations $\psi$-boundedness.
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2554
work_keys_str_mv	AT atanaskageorgieva existenceofsolutionsofnonlineardifferentialequationswithpsiexponentialorpsiordinarydichotomouslinearpartinabanachspace AT hristokiskinov existenceofsolutionsofnonlineardifferentialequationswithpsiexponentialorpsiordinarydichotomouslinearpartinabanachspace AT stepankostadinov existenceofsolutionsofnonlineardifferentialequationswithpsiexponentialorpsiordinarydichotomouslinearpartinabanachspace AT andreyzahariev existenceofsolutionsofnonlineardifferentialequationswithpsiexponentialorpsiordinarydichotomouslinearpartinabanachspace
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Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach space

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