On the existence of a solution of a second‐order singular initial value problem |
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Authors: | Afgan Aslanov |
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Affiliation: | Beykent University, Istanbul, Turkey |
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Abstract: | 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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Keywords: | IVPs existence Caratheodory conditions Lane– Emden equation Emden– Fowler equation |
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