Pololineární dynamické rovnice

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F03%3A00021730" target="_blank" >RIV/67985840:_____/03:00021730 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Half-linear dynamic equations

Popis výsledku v původním jazyce

We survey half-linear dynamic equations on time scales. These contain the well-know half-linear differential and half-linear difference equations as special cases, but also other kinds of half-linear equations. Special cases of half-linear equations arethe well-studied linear equations of second order. We discuss existence and uniqueness of solutions of corresponding initial value problems and, using a Picone identity, derive a Reid roundabout theorem that gives conditions equivalent to disconjugacy ofhalf-linear dynamic equations, among them solvability of an associated Riccati equation and positive definiteness of an associated functional. We also develop a corresponding Sturmian theory and discuss methods of oscillation theory, which we use to present oscillation as well as nonoscillation criteria for hall-linear dynamic equations.

Název v anglickém jazyce

Half-linear dynamic equations

Popis výsledku anglicky

We survey half-linear dynamic equations on time scales. These contain the well-know half-linear differential and half-linear difference equations as special cases, but also other kinds of half-linear equations. Special cases of half-linear equations arethe well-studied linear equations of second order. We discuss existence and uniqueness of solutions of corresponding initial value problems and, using a Picone identity, derive a Reid roundabout theorem that gives conditions equivalent to disconjugacy ofhalf-linear dynamic equations, among them solvability of an associated Riccati equation and positive definiteness of an associated functional. We also develop a corresponding Sturmian theory and discuss methods of oscillation theory, which we use to present oscillation as well as nonoscillation criteria for hall-linear dynamic equations.

Druh

C - Kapitola v odborné knize

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2003

Kód důvěrnosti údajů

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

Název knihy nebo sborníku

Nonlinear Analysis and Application: To V. Lakshmikantham in his 80th Birthday

ISBN

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Počet stran výsledku

56

Strana od-do

1-56

Počet stran knihy

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Název nakladatele

Kluwer Academic Publishers

Místo vydání

Dordrecht

Kód UT WoS kapitoly

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