The Nonlinear Limit-Point/Limit-Circle Problem
Language: English
Published by Birkhäuser, Birkhäuser Dez 2003, 2003
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -This self-contained monograph traces the evolution of the limit-point/limit-circle problem from its 1910 inception, in a paper by Hermann Weyl, to its modern-day extensions to the asymptotic analysis of nonlinear differential equations. The authors distill the classical theorems in the linear case and carefully map the progress from linear 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 in the final chapter, 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, operator theory, and related fields.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 176 pp. Englisch.
Seller Inventory # 9780817635626
- Title
- The Nonlinear Limit-Point/Limit-Circle Problem
- Author
- Miroslav Bartusek
- Publisher
- Birkhäuser, Birkhäuser Dez 2003
- Publication year
- 2003
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 0817635629
- ISBN 13
- 9780817635626
- Item weight
- 277 grams
- Dimensions
- 235x155x10 mm
This self-contained monograph traces the evolution of the limit–point/limit–circle problem from its 1910 inception, in a paper by Hermann Weyl, to its modern-day extensions to the asymptotic analysis of nonlinear differential equations. The authors distill the classical theorems in the linear case and carefully map the progress from linear 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 in the final chapter, 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, operator theory, and related fields.
"Synopsis" may belong to another edition of this title.
Review
“With over 120 references, many open problems, and illustrative examples, this small gem of a book will be eminently valuable to graduate students and researchers in differential equations, functional analysis, operator theory, and related fields. They all will find that the book provides them with an enjoyable coverage of some new developments in the asymptotic analysis of nonlinear differential equations with particular attention paid to the limit-point/limit-circle problem. It will open the door to further reading and to greater skill in handling further developments in and extensions of the problem.” ---CURRENT ENGINEERING PRACTICE
“The limit-point/limit-circle classification for Sturm-Liouville differential equations on the interval [0, infinity] has been one of the most influential topics in ordinary differential equations over the last century, the majority of these results being on linear differential equations. This is the first monograph which includes nonlinear differential equations. Apart from dealing with nonlinear problems, a substantial part is devoted to an overview on the linear case, with an extensive list of references for further reading ... Conditions for continuability of all solutions are given, as well as necessary conditions and sufficient conditions for limit-circle type. Also, boundedness and (non)oscillation of solutions are investigated.” ---ZENTRALBLATT MATH
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buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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