Perturbation Theory for Linear Operators, Tosio Kato
Автор: Richard H. Rand; Dieter Armbruster Название: Perturbation Methods, Bifurcation Theory and Computer Algebra ISBN: 0387965890 ISBN-13(EAN): 9780387965895 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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: Volodymyr Koshmanenko Название: Singular Quadratic Forms in Perturbation Theory ISBN: 079235625X ISBN-13(EAN): 9780792356257 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Volodymyr Koshmanenko Название: Singular Quadratic Forms in Perturbation Theory ISBN: 9401059527 ISBN-13(EAN): 9789401059527 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The notion of singular quadratic form appears in mathematical physics as a tool for the investigation of formal expressions corresponding to perturbations devoid of operator sense.
Автор: Sears William Rees, Sears W. R. Название: Small Perturbation Theory ISBN: 0691626022 ISBN-13(EAN): 9780691626024 Издательство: Wiley Рейтинг: Цена: 4752.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Giampaolo Cicogna; Guiseppe Gaeta Название: Symmetry and Perturbation Theory in Nonlinear Dynamics ISBN: 3642085180 ISBN-13(EAN): 9783642085185 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: has been in the of a Symmetry major ingredient development quantum perturba tion and it is a basic of the of theory, ingredient theory integrable (Hamiltonian and of the the use in context of non Hamiltonian) systems;
Описание: Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. This book offers an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. It can be used as an introductory text to the theory underpinning fitted mesh methods.
Автор: R.S. Johnson Название: Singular Perturbation Theory ISBN: 1441935878 ISBN-13(EAN): 9781441935878 Издательство: Springer Рейтинг: Цена: 26120.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Dmitry Treschev; Oleg Zubelevich Название: Introduction to the Perturbation Theory of Hamiltonian Systems ISBN: 3642261043 ISBN-13(EAN): 9783642261046 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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