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- Title
On solutions defined on an axis for differential equations with shifts of the argument.
- Authors
Chaikovs'kyi, A.
- Abstract
We consider linear first-order differential equations with shifts of the argument for 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 the entire axis are solutions of a given equation with shifts of the argument.
- Subjects
DIFFERENTIAL equations; BANACH spaces; FUNCTIONAL analysis; MATHEMATICAL analysis; EXISTENCE theorems; GENERALIZED spaces
- Publication
Ukrainian Mathematical Journal, 2012, Vol 63, Issue 9, p1470
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-012-0593-5