Oscillatory properties of second order half-linear difference equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14410%2F01%3A00004054" target="_blank" >RIV/00216224:14410/01:00004054 - isvavai.cz</a>

Alternative codes found

RIV/67985840:_____/01:05030125

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Oscillatory properties of second order half-linear difference equations

Original language description

We study oscillatory properties of the second order half-linear difference equation begin{equation*} trr(r_k|trr y_k|^{alpha-2}trr y_k)-p_k|y_{k+1}|^{ad}y_{k+1}=0, alpha>1. tag{HL} end{equation*} It will be shown that the basic facts of oscillation theory for this equation are essentially the same as those for the linear equation $$ trr(r_ktrr y_k)-p_ky_{k+1}=0. $$ We present here the Picone type identity, Reid Roundabout Theorem and Sturmian theory for equation (HL). Some oscillation criteria are also given.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2001

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Czechoslovak Mathematical Journal

ISSN

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e-ISSN

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Volume of the periodical

2001

Issue of the periodical within the volume

51

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

19

Pages from-to

303

UT code for WoS article

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EID of the result in the Scopus database

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