On Existence and Asymptotic Properties of Kneser Solutions to Singular Second Order ODE

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33157641" target="_blank" >RIV/61989592:15310/13:33157641 - isvavai.cz</a>
Result on the web
<a href="http://dml.cz/bitstream/handle/10338.dmlcz/143397/ActaOlom_52-2013-1_11.pdf" target="_blank" >http://dml.cz/bitstream/handle/10338.dmlcz/143397/ActaOlom_52-2013-1_11.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On Existence and Asymptotic Properties of Kneser Solutions to Singular Second Order ODE
Original language description
We investigate an asymptotic behaviour of damped non-oscillatory solutions of the initial value problem with a time singularity on the unbounded domain. Function f is locally Lipschitz continuous and has at least three zeros. Function p is continuous onthe half-line, has a positive continuous derivative on (0, infinity) and p(0)=0. Asymptotic formulas for damped non-oscillatory solutions and their first derivatives are derived under some additional assumptions. Further, we provide conditions for functions p and f, which guarantee the existence of Kneser solutions
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

Name of the periodical
Acta Universitatis Palackianae Olomucensis, Facultas Rerum Naturalium, Mathematica
ISSN
0231-9721
e-ISSN
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Volume of the periodical
52
Issue of the periodical within the volume
1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
18
Pages from-to
"135-152"
UT code for WoS article
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EID of the result in the Scopus database
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