A note on the existence of positive solutions of singular initial-value problem for second order differential equations

We are interested in the existence of positive solutions to initial-value problems for second-order nonlinear singular differential equations. Existence of solutions is proven under conditions which are directly applicable and considerably weaker than previously known conditions.

Bibliographic Details
Main Author: Afgan Aslanov
Format: Article
Language:English
Published: University of Szeged 2015-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4366
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author Afgan Aslanov
author_facet Afgan Aslanov
author_sort Afgan Aslanov
collection DOAJ
description We are interested in the existence of positive solutions to initial-value problems for second-order nonlinear singular differential equations. Existence of solutions is proven under conditions which are directly applicable and considerably weaker than previously known conditions.
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spelling doaj.art-132bcf456fb84b07a426f68c0147066a2023-05-09T07:53:05ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752015-11-0120158411010.14232/ejqtde.2015.1.844366A note on the existence of positive solutions of singular initial-value problem for second order differential equationsAfgan Aslanov0Beykent University, Istanbul, TurkeyWe are interested in the existence of positive solutions to initial-value problems for second-order nonlinear singular differential equations. Existence of solutions is proven under conditions which are directly applicable and considerably weaker than previously known conditions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4366second order equationsexistenceemden-fowler equation
spellingShingle Afgan Aslanov
A note on the existence of positive solutions of singular initial-value problem for second order differential equations
Electronic Journal of Qualitative Theory of Differential Equations
second order equations
existence
emden-fowler equation
title A note on the existence of positive solutions of singular initial-value problem for second order differential equations
title_full A note on the existence of positive solutions of singular initial-value problem for second order differential equations
title_fullStr A note on the existence of positive solutions of singular initial-value problem for second order differential equations
title_full_unstemmed A note on the existence of positive solutions of singular initial-value problem for second order differential equations
title_short A note on the existence of positive solutions of singular initial-value problem for second order differential equations
title_sort note on the existence of positive solutions of singular initial value problem for second order differential equations
topic second order equations
existence
emden-fowler equation
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4366
work_keys_str_mv AT afganaslanov anoteontheexistenceofpositivesolutionsofsingularinitialvalueproblemforsecondorderdifferentialequations
AT afganaslanov noteontheexistenceofpositivesolutionsofsingularinitialvalueproblemforsecondorderdifferentialequations