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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.