Asymptotic properties of Kneser solutions to nonlinear second order ODEs with regularly varying coefficients

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33157626" target="_blank" >RIV/61989592:15310/16:33157626 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0096300315014253" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0096300315014253</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2015.10.074" target="_blank" >10.1016/j.amc.2015.10.074</a>

Result language
angličtina
Original language name
Asymptotic properties of Kneser solutions to nonlinear second order ODEs with regularly varying coefficients
Original language description
In this work, we investigate properties of a class of solutions to the second order ODE on the halfline, where the nonlinearity in the equation has three zeros and coefficient functions are regularly varying at infinity. Our aim is to describe the asymptotic behaviour of the non-oscillatory solutions. The existence of Kneser solutions on the halfline is investigated and asymptotic properties of such solutions and their first derivatives are derived. The analytical findings are illustrated by numerical simulations using the collocation method.
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
—

Project
<a href="/en/project/GA14-06958S" target="_blank" >GA14-06958S: Singularities and impulses in boundary value problems for nonlinear ordinary differential equations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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