Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33142902" target="_blank" >RIV/61989592:15310/13:33142902 - isvavai.cz</a>
Result on the web
<a href="http://www.boundaryvalueproblems.com/content/2013/1/6" target="_blank" >http://www.boundaryvalueproblems.com/content/2013/1/6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/1687-2770-2013-6" target="_blank" >10.1186/1687-2770-2013-6</a>

Result language
angličtina
Original language name
Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities
Original language 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 propertiesof solutions are specified. The theory is illustrated by numerical experiments based on polynomial collocation.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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