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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. (en)
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 (en)
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  • 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 (en)
skos:notation
  • RIV/61989592:15310/13:33142902!RIV14-MSM-15310___
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  • S
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  • 6
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  • 97423
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  • RIV/61989592:15310/13:33142902
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  • Singular ordinary differential equation of the second order, time singularities, space singularities, positive solutions, existence of solutions, polynomial collocation (en)
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  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [76011323186C]
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  • Boundary Value Problems
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  • 2013
http://linked.open...iv/tvurceVysledku
  • Rachůnková, Irena
  • Staněk, Svatoslav
  • Weinmüller, Ewa
  • Spielauer, Alexander
issn
  • 1687-2770
number of pages
http://bibframe.org/vocab/doi
  • 10.1186/1687-2770-2013-6
http://localhost/t...ganizacniJednotka
  • 15310
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