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

Josef Diblı́k | Zendy; Josef Rebenda | Zendy; Zdeněk Šmarda | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Josef Diblı́k,

Josef Rebenda,

Zdeněk Šmarda

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/207352

Subject(s) - mathematics , ordinary differential equation , singular solution , initial value problem , singular point of a curve , mathematical proof , regular singular point , mathematical analysis , differential equation , geometry

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, thedimension 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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research