Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations
Joint Authors
Rebenda, Josef
Šmarda, Zdenĕk
Diblík, Josef
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
The method of functions defined implicitly and the topological method (Ważewski's method) are used in the proofs.
The results generalize some previous ones on singular initial value problems for differential equations.
American Psychological Association (APA)
Diblík, Josef& Rebenda, Josef& Šmarda, Zdenĕk. 2013. Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-454544
Modern Language Association (MLA)
Diblík, Josef…[et al.]. Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-454544
American Medical Association (AMA)
Diblík, Josef& Rebenda, Josef& Šmarda, Zdenĕk. Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-454544
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454544