Second order initial value problems of Lane-Emden type

Donal O'Regan

doi:10.1016/j.aml.2006.11.014

Second order initial value problems of Lane-Emden type

Donal O'Regan

Mathematics

Department of Mathematical Sciences

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

30 Citations (Scopus)

Abstract

This work discusses the existence of positive solutions to the initial value problem (py) + - pqg(y) = 0, t is an element of [0, T), with y(0) = 1 and lim(t - 0)(+) p(t)y(t) = 0. Our analysis is based on the Schauder-Tychonoff theorem. (c) 2007 Elsevier Ltd. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	1198-1205
Number of pages	8
Journal	Applied Mathematics Letters
Volume	20
Issue number	12
DOIs	https://doi.org/10.1016/j.aml.2006.11.014
Publication status	Published - 1 Dec 2007

Keywords

Initial value problems
Lane-Emden equation
Positive solutions
Schauder-Tychonoff theorem

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, RP,O'Regan, D

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10.1016/j.aml.2006.11.014

Cite this

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AB - This work discusses the existence of positive solutions to the initial value problem (py) + - pqg(y) = 0, t is an element of [0, T), with y(0) = 1 and lim(t - 0)(+) p(t)y(t) = 0. Our analysis is based on the Schauder-Tychonoff theorem. (c) 2007 Elsevier Ltd. All rights reserved.

KW - Initial value problems

KW - Lane-Emden equation

KW - Positive solutions

KW - Schauder-Tychonoff theorem

UR - https://www.scopus.com/pages/publications/35348841427

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DO - 10.1016/j.aml.2006.11.014

M3 - Article

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 12

ER -

Second order initial value problems of Lane-Emden type

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

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