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  • 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 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. (en)
Title
  • Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations
  • Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations (en)
skos:prefLabel
  • Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations
  • Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations (en)
skos:notation
  • RIV/00216305:26220/13:PU106492!RIV15-MSM-26220___
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  • P(ED1.1.00/02.0068), P(EE2.3.30.0039), P(GAP201/11/0768), S
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  • Article ID
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  • 105347
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  • RIV/00216305:26220/13:PU106492
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  • Singular initial value problem, Ordinary differential equations, Asymptotic behavior of solutions (en)
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  • FK - Falklandské ostrovy
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  • [CE5A5D0C13E8]
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  • Abstract and Applied Analysis
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  • 2013
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  • Diblík, Josef
  • Rebenda, Josef
  • Šmarda, Zdeněk
issn
  • 1085-3375
number of pages
http://bibframe.org/vocab/doi
  • 10.1155/2013/207352
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  • 26220
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