Detail publikačního výsledku

Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations

DIBLÍK, J.; REBENDA, J.; ŠMARDA, Z.

Originální název

Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations

Anglický název

Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Singular initial value problem; Ordinary differential equations; Asymptotic behavior of solutions

Klíčová slova v angličtině

Singular initial value problem; Ordinary differential equations; Asymptotic behavior of solutions

Autoři

DIBLÍK, J.; REBENDA, J.; ŠMARDA, Z.

Rok RIV

2014

Vydáno

09.12.2013

Nakladatel

Hindawi

ISSN

1085-3375

Periodikum

Abstract and Applied Analysis

Svazek

2013

Číslo

1

Stát

Spojené státy americké

Strany od

1

Strany do

12

Strany počet

12

URL

https://www.hindawi.com/journals/aaa/2013/207352/

Plný text v Digitální knihovně

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/"
}

Dokumenty

207352