Theory and Applications of Singular Perturbations, W. Eckhaus; E.M. de Jager
Автор: Petar V. Kokotovic; Alain Bensoussan; Gilmer L. Bl Название: Singular Perturbations and Asymptotic Analysis in Control Systems ISBN: 3540173625 ISBN-13(EAN): 9783540173625 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Ljubomir T. Grujic; A.A. Martynyuk; M. Ribbens-Pav Название: Large Scale Systems Stability under Structural and Singular Perturbations ISBN: 3540183000 ISBN-13(EAN): 9783540183006 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Precise definitions of well known and new stability properties are given by the authors who present general results on the Liapunov stability properties of non-stationary systems which are out of the classical stability theory framework.
Автор: Shankar P. Bhattacharyya Название: Robust Stabilization Against Structured Perturbations ISBN: 3540180567 ISBN-13(EAN): 9783540180562 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is a research monograph describing results obtained by the author and his co-workers of the last two years.
Автор: Ferdinand Verhulst Название: Methods and Applications of Singular Perturbations ISBN: 1441919929 ISBN-13(EAN): 9781441919922 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Basic Material.- Approximation of Integrals.- Boundary Layer Behaviour.- Two-Point Boundary Value Problems.- Nonlinear Boundary Value Problems.- Elliptic Boundary Value Problems.- Boundary Layers in Time.- Evolution Equations with Boundary Layers.- The Continuation Method.- Averaging and Timescales.- Advanced Averaging.- Averaging for Evolution Equations.- Wave Equations on Unbounded Domains.
Автор: C.M. Brauner; B. Gay; J. Mathieu Название: Singular Perturbations and Boundary Layer Theory ISBN: 3540082581 ISBN-13(EAN): 9783540082583 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: M.D. Ardema Название: Singular Perturbations in Systems and Control ISBN: 3211817514 ISBN-13(EAN): 9783211817513 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Elena Shchepakina; Vladimir Sobolev; Michael P. Mo Название: Singular Perturbations ISBN: 3319095692 ISBN-13(EAN): 9783319095691 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques.
Автор: Robert E. O`Malley Название: Historical Developments in Singular Perturbations ISBN: 3319119230 ISBN-13(EAN): 9783319119236 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status.
Автор: Robert E. O`Malley Название: Historical Developments in Singular Perturbations ISBN: 3319363824 ISBN-13(EAN): 9783319363820 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status.
Автор: Jacek Banasiak; Luisa Arlotti Название: Perturbations of Positive Semigroups with Applications ISBN: 1849969922 ISBN-13(EAN): 9781849969925 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Perturbations of Positive Semigroups with Applications is a self-contained introduction to semigroup theory with emphasis on positive semigroups on Banach lattices and perturbation techniques. The first part of the book, which should be regarded as an extended reference section, presents a survey of the results from functional analysis, the theory of positive operators and the theory of semigroups that are needed for the second, applied part of the book; worked examples are provided to help absorb the theoretical material. The second part then deals with the application of the developed theory to a variety of problems ranging from the classical birth-and-death type problems of population dynamics, through fragmentation models in both conservative and mass loss regimes, to kinetic models.
Features of particular interest include:
a survey of perturbation results for semigroups, beginning with the classical results and ending with more recent developments such as the Miyadera-Voigt perturbation theorem, Desch's results and an extension of the Kato theorem to Kantorovic-Banach spaces;
comprehensive analysis of the relations between the generator of a semigroup and the conservativeness of this semigroup, providing applicable techniques for characterization of the generator;
a full description of the dynamics of birth-and-death problems;
an analytical explanation of shattering and dust formation and of the existence of multiple solutions for fragmentation equations;
a detailed analysis of the linear Boltzmann equation with external field with both classical and inelastic scattering kernels, supplemented by an exhaustive treatment of boundary value problems for a streaming operator;
applications to the asymptotic analysis of kinetic equations.
The only prerequisites are a basic knowledge of functional analysis and measure theory. This is an essential one-stop reference for graduate and postgraduate students and researchers in applied analysis and mathematical physics who are interested in the application of functional analytic techniques to concrete problems arising in physics, biology and engineering.
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