Symmetry and Perturbation Theory in Nonlinear Dynamics, Giampaolo Cicogna; Guiseppe Gaeta

Автор: Koshmanenko
Название: The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators
ISBN: 3319295330 ISBN-13(EAN): 9783319295336
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory. A key notion of this approach is the Lax-Berezansky triple of Hilbert spaces embedded one into another, which specifies the well-known Gelfand topological triple. All kinds of singular interactions described by potentials supported on small sets (like the Dirac ?-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems.

Автор: K. W. Chang; F. A. Howes
Название: Nonlinear Singular Perturbation Phenomena
ISBN: 038796066X ISBN-13(EAN): 9780387960661
Издательство: Springer
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Описание: The presentation involves a study of both scalar and vector boundary value problems for ordinary dif- ferential equations, by means of the consistent use of differential in- equality techniques.

Автор: Sears William Rees, Sears W. R.
Название: Small Perturbation Theory
ISBN: 0691626022 ISBN-13(EAN): 9780691626024
Издательство: Wiley
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Цена: 4752.00 р.
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Описание: Part of the Princeton Aeronautical Paperback series designed to bring to students and research engineers outstanding portions of the twelve-volume High Speed Aerodynamics and Jet Propulsion series. These books have been prepared by direct reproduction of the text from the original series and no attempt has been made to provide introductory material

Автор: R.S. Johnson
Название: Singular Perturbation Theory
ISBN: 1441935878 ISBN-13(EAN): 9781441935878
Издательство: Springer
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Цена: 26120.00 р.
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Описание: The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, is well established.

Автор: Richard H. Rand; Dieter Armbruster
Название: Perturbation Methods, Bifurcation Theory and Computer Algebra
ISBN: 0387965890 ISBN-13(EAN): 9780387965895
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Perturbation methods have always been an important tool for treating nonlinear differential equations. Methods covered include: Lindstedt`s method, center manifolds, normal forms, two variable expansion method (method of multiple scales), averaging, Lie transforms and Liapunov-Schmidt reduction.

Автор: Volodymyr Koshmanenko
Название: Singular Quadratic Forms in Perturbation Theory
ISBN: 079235625X ISBN-13(EAN): 9780792356257
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Deals with the presentation of the method of singular quadratic forms in the perturbation theory of self-adjoint operators. This book interprets singular quadratic form in the role of an abstract boundary condition for self-adjoint extension. It also investigates various aspects of the singularity principle.

Автор: Dmitry Treschev; Oleg Zubelevich
Название: Introduction to the Perturbation Theory of Hamiltonian Systems
ISBN: 3642261043 ISBN-13(EAN): 9783642261046
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book presents the basic methods of regular perturbation theory of Hamiltonian systems in an accessible fashion. It discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems, and most results include complete proofs.

Автор: Tosio Kato
Название: Perturbation Theory for Linear Operators
ISBN: 354058661X ISBN-13(EAN): 9783540586616
Издательство: Springer
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Цена: 6986.00 р.
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Описание: From the reviews: "[...] An excellent textbook in the theory of linear operators in Banach and Hilbert spaces. It is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory.