Detailed Information on Publication Record
2006
The nonlinear limit-point/limit-circle problem
BARTUŠEK, Miroslav, Zuzana DOŠLÁ and John R. GRAEFBasic information
Original name
The nonlinear limit-point/limit-circle problem
Name in Czech
Nelineární limit-point / limit-circle problém.
Authors
BARTUŠEK, Miroslav (203 Czech Republic, guarantor), Zuzana DOŠLÁ (203 Czech Republic) and John R. GRAEF (840 United States of America)
Edition
Boston, 175 pp. Mathematics, 2006
Publisher
Birkhauser
Other information
Language
English
Type of outcome
Odborná kniha
Field of Study
10201 Computer sciences, information science, bioinformatics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/00216224:14310/06:00016565
Organization unit
Faculty of Science
ISBN
0-8176-3562-9
Keywords in English
Limit point; limit circle; spectral analysis
Tags
International impact, Reviewed
Změněno: 24/11/2006 11:48, prof. RNDr. Miroslav Bartušek, DrSc.
V originále
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 is examined 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
In Czech
Problém limit-point/limit-circle byl formulován v roce 1910 H.Weylem. V minulém století inspiroval několik nových směrů v asymptotické analýze nelineárních diferenciálních rovnic.Kniha začíná studiem problému v lineárním případě, jak byl H.Weylem původně formulován. Pokračuje zobecněním na nelineární rovnice vyšších řádů. Jsou studovány vztahy mezi vlastností limit-point/limit-circle a ohraničeností, oscilací a konvergencí k nule řešení.Vztah mezi problémem limit-point/limit-circle a spektrální teorií je podrobně studován.
Links
| MSM 143100001, plan (intention) |
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