On the boundary value problems for ordinary differential equations with isolated singularity

We consider some two-point boundary value problems for second order o.d.e. with strong singularity. The asymptotics of the solutions at the singular point are given. The existence and uniqueness of the solutions of those problems are prooved.

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Main Authors: Kristina Aldošina, Stasys Rutkauskas
Format: Article
Language:English
Published: Vilnius University Press 2005-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/24555
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author Kristina Aldošina
Stasys Rutkauskas
author_facet Kristina Aldošina
Stasys Rutkauskas
author_sort Kristina Aldošina
collection DOAJ
description We consider some two-point boundary value problems for second order o.d.e. with strong singularity. The asymptotics of the solutions at the singular point are given. The existence and uniqueness of the solutions of those problems are prooved.
format Article
id doaj-art-42d131cd525b426cbc310bbb9960e677
institution Kabale University
issn 0132-2818
2335-898X
language English
publishDate 2005-12-01
publisher Vilnius University Press
record_format Article
series Lietuvos Matematikos Rinkinys
spelling doaj-art-42d131cd525b426cbc310bbb9960e6772025-01-20T18:16:08ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2005-12-0145spec.10.15388/LMR.2005.24555On the boundary value problems for ordinary differential equations with isolated singularityKristina Aldošina0Stasys Rutkauskas1Institute of Mathematics and Informatics; Vilnius Pedagogical UniversityInstitute of Mathematics and Informatics; Vilnius Pedagogical University We consider some two-point boundary value problems for second order o.d.e. with strong singularity. The asymptotics of the solutions at the singular point are given. The existence and uniqueness of the solutions of those problems are prooved. https://www.journals.vu.lt/LMR/article/view/24555ordinary differential equationsboundary value problemssingularityasymptotics
spellingShingle Kristina Aldošina
Stasys Rutkauskas
On the boundary value problems for ordinary differential equations with isolated singularity
Lietuvos Matematikos Rinkinys
ordinary differential equations
boundary value problems
singularity
asymptotics
title On the boundary value problems for ordinary differential equations with isolated singularity
title_full On the boundary value problems for ordinary differential equations with isolated singularity
title_fullStr On the boundary value problems for ordinary differential equations with isolated singularity
title_full_unstemmed On the boundary value problems for ordinary differential equations with isolated singularity
title_short On the boundary value problems for ordinary differential equations with isolated singularity
title_sort on the boundary value problems for ordinary differential equations with isolated singularity
topic ordinary differential equations
boundary value problems
singularity
asymptotics
url https://www.journals.vu.lt/LMR/article/view/24555
work_keys_str_mv AT kristinaaldosina ontheboundaryvalueproblemsforordinarydifferentialequationswithisolatedsingularity
AT stasysrutkauskas ontheboundaryvalueproblemsforordinarydifferentialequationswithisolatedsingularity