Published March 2018
| Version v1
Journal article
On the Behavior of Solutions of Some Systems of Differential Equations Partially Solved with Respect to the Derivatives in the Presence of a Pole
Description
We study the existence of analytic solutions for some systems of ordinary differential equations partially solvable with respect to the derivatives. We establish sufficient conditions for the existence of analytic solutions of the Cauchy problem in the presence of a pole. An estimate for these solutions is obtained in a certain domain and the problem of the number of solutions is investigated.
Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Mathematical Sciences
- Journal Volume
- 229
- Journal Issue
- 4
- Journal Page Range
- p. 455-469
- ISSN
- 1072-3374
- CODEN
- JMTSEW
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 50014685
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ANALYTICAL SOLUTION; CAUCHY PROBLEM; DIFFERENTIAL EQUATIONS
- Descriptors DEC
- EQUATIONS; MATHEMATICAL SOLUTIONS
Optional Information
- Copyright
- Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature
- Notes
- http://www.springer-ny.com