On the existence of a solution of a second‐order singular initial value problem | Zendy

Aslanov Afgan | Zendy

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On the existence of a solution of a second‐order singular initial value problem

Author(s) -

Aslanov Afgan

Publication year - 2014

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.3125

Subject(s) - mathematics , uniqueness , initial value problem , order (exchange) , singularity , type (biology) , class (philosophy) , value (mathematics) , singular solution , mathematical analysis , pure mathematics , computer science , ecology , statistics , finance , artificial intelligence , economics , biology

In this paper, we consider a class of second‐order initial value problems. We extend the family of second‐order initial value problems for which the existence and uniqueness of a solution is known. To handle the singularity, we introduce the more general Caratheodory type of restrictions. The solvability results of the Emden–Fowler type of equations is established as a special case.Copyright © 2014 John Wiley & Sons, Ltd.

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