De la Vallee Poussin type inequality and eigenvalue problem for generalized half-linear differential equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00074139" target="_blank" >RIV/00216224:14310/14:00074139 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
De la Vallee Poussin type inequality and eigenvalue problem for generalized half-linear differential equation
Original language description
We study the generalized half-linear second order differential equation via the associated Riccati type differential equation and Pr"ufer transformation. We establish a de la Vall'ee Poussin type inequality for the distance of consecutive zeros of a nontrivial solution and this result we apply to the ``classical'' half-linear differential equation regarded as a perturbation of the half-linear Euler differential equation with the so-called critical oscillation constant. In the second part of the paperwe study a Dirichlet eigenvalue problem associated with the investigated half-linear equation.
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/GAP201%2F10%2F1032" target="_blank" >GAP201/10/1032: Difference equations and dynamic equations on time scales III</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Arch. Math. (Brno)
ISSN
0044-8753
e-ISSN
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Volume of the periodical
50
Issue of the periodical within the volume
4
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
11
Pages from-to
193-203
UT code for WoS article
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EID of the result in the Scopus database
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