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 $...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2014-03-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2554 |
| _version_ | 1797830683970764800 |
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| author | Atanaska Georgieva Hristo Kiskinov Stepan Kostadinov Andrey Zahariev |
| author_facet | Atanaska Georgieva Hristo Kiskinov Stepan Kostadinov Andrey Zahariev |
| author_sort | Atanaska Georgieva |
| collection | DOAJ |
| 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 $\mathbb{R}_+$. |
| first_indexed | 2024-04-09T13:40:01Z |
| format | Article |
| id | doaj.art-f4895d3b02c941d68cdc63843354b026 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:01Z |
| publishDate | 2014-03-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-f4895d3b02c941d68cdc63843354b0262023-05-09T07:53:03ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752014-03-012014211010.14232/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¶mtipus_ertek=publication¶m_ertek=2554$\psi$-dichotomy for ordinary differential equations$\psi$-boundedness. |
| 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. |
| title | 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_short | 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 |
| topic | $\psi$-dichotomy for ordinary differential equations $\psi$-boundedness. |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2554 |
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