On solutions defined on an axis for differential equations with shifts of the argument
We consider linear first-order differential equations with shifts of arguments with respect to functions with values in a Banach space. Sufficient conditions for the existence of nontrivial solutions of homogeneous equations are obtained. Ordinary differential equations are constructed for which all...
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| Date: | 2011 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2011
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2806 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | We consider linear first-order differential equations with shifts of arguments with respect to functions with
values in a Banach space. Sufficient conditions for the existence of nontrivial solutions of homogeneous
equations are obtained. Ordinary differential equations are constructed for which all solutions defined on an
axis are solutions of a given equation with shifts of the argument. |
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