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DIBLÍK, J. REBENDA, J. ŠMARDA, Z.
Original Title
Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations
Type
journal article - other
Language
English
Original Abstract
The paper is devoted to the study of the solvability of a singular initial value problem for systems of ordinary differential equations. The main results give sufficient conditions for the existence of solutions in the right-hand neighbourhood of a singular point. In addition, the dimension of the set of initial data generating such solutions is estimated. An asymptotic behavior of solutions is determined as well and relevant asymptotic formulas are derived.
Keywords
Singular initial value problem; Ordinary differential equations; Asymptotic behavior of solutions
Authors
DIBLÍK, J.; REBENDA, J.; ŠMARDA, Z.
RIV year
2013
Released
9. 12. 2013
Publisher
Hindawi
ISBN
1085-3375
Periodical
Abstract and Applied Analysis
Year of study
Number
1
State
United States of America
Pages from
Pages to
12
Pages count
URL
https://www.hindawi.com/journals/aaa/2013/207352/
Full text in the Digital Library
http://hdl.handle.net/11012/193165
BibTex
@article{BUT103650, author="Josef {Diblík} and Josef {Rebenda} and Zdeněk {Šmarda}", title="Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations ", journal="Abstract and Applied Analysis", year="2013", volume="2013", number="1", pages="1--12", doi="10.1155/2013/207352", issn="1085-3375", url="https://www.hindawi.com/journals/aaa/2013/207352/" }