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- Title
Global analyticity of solutions of nonlinear functional differential equations representable by Dirichlet series.
- Authors
Murovtsev, A.
- Abstract
We show that, under certain additional assumptions, analytic solutions of sufficiently general nonlinear functional differential equations are representable by Dirichlet series of unique structure on the entire real axis ℝ and, in some cases, on the entire complex plane ℂ. We investigate the dependence of these solutions on the coefficients of the basic exponents of the expansion into a Dirichlet series. We obtain sufficient conditions for the representability of solutions of the main initial-value problem by series of exponents.
- Subjects
FUNCTIONAL differential equations; DIRICHLET series; POINT mappings (Mathematics); EXPONENTS; MATHEMATICS
- Publication
Ukrainian Mathematical Journal, 2006, Vol 58, Issue 9, p1448
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-006-0144-z