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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F13%3A33142902%21RIV14-MSM-15310___
rdf:type
skos:Concept n13:Vysledek
rdfs:seeAlso
http://www.boundaryvalueproblems.com/content/2013/1/6
dcterms:description
In this paper, we discuss the existence of positive solutions to the singular Dirichlet boundary value problems (BVPs) for ordinary differential equations (ODEs) of the second order. The nonlinearity in the equation may be singular in zero value of the space variables. Moreover, the differential operator on the left hand side of the differential equation is singular at the time variable. Sufficient conditions for the existence of positive solutions of these BVPs are formulated and asymptotic properties of solutions are specified. The theory is illustrated by numerical experiments based on polynomial collocation. In this paper, we discuss the existence of positive solutions to the singular Dirichlet boundary value problems (BVPs) for ordinary differential equations (ODEs) of the second order. The nonlinearity in the equation may be singular in zero value of the space variables. Moreover, the differential operator on the left hand side of the differential equation is singular at the time variable. Sufficient conditions for the existence of positive solutions of these BVPs are formulated and asymptotic properties of solutions are specified. The theory is illustrated by numerical experiments based on polynomial collocation.
dcterms:title
Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities
skos:prefLabel
Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities
skos:notation
RIV/61989592:15310/13:33142902!RIV14-MSM-15310___
n13:predkladatel
n14:orjk%3A15310
n4:aktivita
n19:S
n4:aktivity
S
n4:cisloPeriodika
6
n4:dodaniDat
n12:2014
n4:domaciTvurceVysledku
n17:7352425 n17:6338046
n4:druhVysledku
n18:J
n4:duvernostUdaju
n6:S
n4:entitaPredkladatele
n11:predkladatel
n4:idSjednocenehoVysledku
97423
n4:idVysledku
RIV/61989592:15310/13:33142902
n4:jazykVysledku
n16:eng
n4:klicovaSlova
Singular ordinary differential equation of the second order, time singularities, space singularities, positive solutions, existence of solutions, polynomial collocation
n4:klicoveSlovo
n5:time%20singularities n5:polynomial%20collocation n5:existence%20of%20solutions n5:Singular%20ordinary%20differential%20equation%20of%20the%20second%20order n5:positive%20solutions n5:space%20singularities
n4:kodStatuVydavatele
DE - Spolková republika Německo
n4:kontrolniKodProRIV
[76011323186C]
n4:nazevZdroje
Boundary Value Problems
n4:obor
n9:BA
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
4
n4:rokUplatneniVysledku
n12:2013
n4:svazekPeriodika
2013
n4:tvurceVysledku
Spielauer, Alexander Rachůnková, Irena Weinmüller, Ewa Staněk, Svatoslav
s:issn
1687-2770
s:numberOfPages
22
n7:doi
10.1186/1687-2770-2013-6
n20:organizacniJednotka
15310