Almost Periodic Operators and Related Nonlinear Integrable Systems

Almost Periodic Operators and Related Nonlinear Integrable Systems PDF Author: V. A. Chulaevskiĭ
Publisher: Manchester University Press
ISBN: 9780719026676
Category : Mathematics
Languages : en
Pages : 128

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Book Description


Metrical Almost Periodicity and Applications to Integro-Differential Equations

Metrical Almost Periodicity and Applications to Integro-Differential Equations PDF Author: Marko Kostić
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111234177
Category : Mathematics
Languages : en
Pages : 561

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Book Description
The theory of almost periodic functions is a very active field of research for scholars. This research monograph analyzes various classes of multi-dimensional metrically almost periodic type functions with values in complex Banach spaces. We provide many applications of our theoretical results to the abstract Volterra integro-differential inclusions in Banach spaces.

From Complex Analysis to Operator Theory: A Panorama

From Complex Analysis to Operator Theory: A Panorama PDF Author: Malcolm Brown
Publisher: Springer Nature
ISBN: 3031311396
Category : Mathematics
Languages : en
Pages : 731

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Book Description
This volume is dedicated to the memory of Sergey Naboko (1950-2020). In addition to original research contributions covering the vast areas of interest of Sergey Naboko, it includes personal reminiscences and comments on the works and legacy of Sergey Naboko’s scientific achievements. Areas from complex analysis to operator theory, especially, spectral theory, are covered, and the papers will inspire current and future researchers in these areas.

One-Dimensional Ergodic Schrödinger Operators

One-Dimensional Ergodic Schrödinger Operators PDF Author: David Damanik
Publisher: American Mathematical Society
ISBN: 1470470861
Category : Mathematics
Languages : en
Pages : 464

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Book Description
The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from dynamical systems, topology, and analysis. Additionally, this setting includes many models of physical interest, including those operators that model crystals, disordered media, or quasicrystals. This field has seen substantial progress in recent decades, much of which has yet to be discussed in textbooks. Beginning with a refresher on key topics in spectral theory, this volume presents the basic theory of discrete one-dimensional Schrödinger operators with dynamically defined potentials. It also includes a self-contained introduction to the relevant aspects of ergodic theory and topological dynamics. This text is accessible to graduate students who have completed one-semester courses in measure theory and complex analysis. It is intended to serve as an introduction to the field for junior researchers and beginning graduate students as well as a reference text for people already working in this area. It is well suited for self-study and contains numerous exercises (many with hints).

New Perspectives and Applications of Modern Control Theory

New Perspectives and Applications of Modern Control Theory PDF Author: Julio B. Clempner
Publisher: Springer
ISBN: 3319624644
Category : Technology & Engineering
Languages : en
Pages : 539

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Book Description
This edited monograph contains research contributions on a wide range of topics such as stochastic control systems, adaptive control, sliding mode control and parameter identification methods. The book also covers applications of robust and adaptice control to chemical and biotechnological systems. This collection of papers commemorates the 70th birthday of Dr. Alexander S. Poznyak.

Chaotic Oscillations in Mechanical Systems

Chaotic Oscillations in Mechanical Systems PDF Author: Tomasz Kapitaniak
Publisher: Manchester University Press
ISBN: 9780719033643
Category : Health & Fitness
Languages : en
Pages : 240

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Book Description


Stochastic Cellular Systems

Stochastic Cellular Systems PDF Author: R. L. Dobrushin
Publisher: Manchester University Press
ISBN: 9780719022067
Category : Mathematics
Languages : en
Pages : 568

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Book Description


Banach-hilbert Spaces, Vector Measures And Group Representations

Banach-hilbert Spaces, Vector Measures And Group Representations PDF Author: Tsoy-wo Ma
Publisher: World Scientific Publishing Company
ISBN: 9813105984
Category : Mathematics
Languages : en
Pages : 622

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Book Description
This book provides an elementary introduction to classical analysis on normed spaces, with special attention paid to fixed points, calculus, and ordinary differential equations. It contains a full treatment of vector measures on delta rings without assuming any scalar measure theory and hence should fit well into existing courses. The relation between group representations and almost periodic functions is presented. The mean values offer an infinitedimensional analogue of measure theory on finitedimensional Euclidean spaces. This book is ideal for beginners who want to get through the basic material as soon as possible and then do their own research immediately.

Stability of Critical Equilibrium States

Stability of Critical Equilibrium States PDF Author: Leonid Grigorʹevich Khazin
Publisher: Manchester University Press
ISBN: 9780719027055
Category : Mathematics
Languages : en
Pages : 232

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Book Description
Examines the stability of equilibrium states in nonlinear ordinary differential equations, specifically in cases where a linear approximation is insufficient to determine whether the equilibrium is stable or not. Beginning with a basic introduction, it will be useful to researchers, scientists & engineers working in applications without a background in nonlinear analysis. The latter part is directed at mathematicians & specialists in mechanics interested in the general theory of stability of motion & the problems of nonlinear analysis. Features an extensive discussion of all twenty of the critical & near- critical cases for systems of low co-dimensions & an examination of the stability of equilibrium states of Hamiltonian systems.

Soliton Theory

Soliton Theory PDF Author: Allan P. Fordy
Publisher: Manchester University Press
ISBN: 9780719014918
Category : Mathematics
Languages : en
Pages : 472

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Book Description
A coherent introduction to the complete range of soliton theory including Hirota's method and Backlund transformations. Details physical applications of soliton theory with chapters on the peculiar wave patterns of the Andaman Sea, atmospheric phenomena, general relativity and Davydov solitons. Contains testing for full integrability, a discussion of the Painlevé technique, symmetries and conservation law.