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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Bibliographic Details
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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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2554

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