Nelineární limit-point / limit-circle problém.

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F06%3A00016565" target="_blank" >RIV/00216224:14310/06:00016565 - 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

The nonlinear limit-point/limit-circle problem

Popis výsledku v původním jazyce

First posed by H.Weyl in 1910, the limit-point/limit-circle problem has inspired, over the last century, several new developments in the asymptotic analysis of nonlinear differential equations. The book opens with a discussion of the problem in the linear case, as H.Weyl originally stated it, and then proceeds to a generalization for nonlinear higher order equations. En route, the authors distill the classical theorems for second and higher-order linear equations, and carefully map the progression to nonlinear limit-point results. The relationship between the limit-point/limit-circle properties and the boundedness, oscillation, and convergence of solutions is explored, and the connection between limit-point/limit-circle problems and spectral theory isexamined in detail. With over 120 references, many open problems, and illustrative examples, this work will be valuable to graduate students and researchers in differential equations, functional analysis, and related fields.

Název v anglickém jazyce

The nonlinear limit-point/limit-circle problem

Popis výsledku anglicky

First posed by H.Weyl in 1910, the limit-point/limit-circle problem has inspired, over the last century, several new developments in the asymptotic analysis of nonlinear differential equations. The book opens with a discussion of the problem in the linear case, as H.Weyl originally stated it, and then proceeds to a generalization for nonlinear higher order equations. En route, the authors distill the classical theorems for second and higher-order linear equations, and carefully map the progression to nonlinear limit-point results. The relationship between the limit-point/limit-circle properties and the boundedness, oscillation, and convergence of solutions is explored, and the connection between limit-point/limit-circle problems and spectral theory isexamined in detail. With over 120 references, many open problems, and illustrative examples, this work will be valuable to graduate students and researchers in differential equations, functional analysis, and related fields.

Druh

B - Odborná kniha

CEP obor

IN - Informatika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2006

Kód důvěrnosti údajů

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

ISBN

0-8176-3562-9

Počet stran knihy

175

Název nakladatele

Birkhauser

Místo vydání

Boston

Kód UT WoS knihy

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