Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations, R.P. Agarwal; Said R. Grace; Donal O`Regan
Автор: G.A. Leonov; I.M. Burkin; A.I. Shepeljavyi Название: Frequency Methods in Oscillation Theory ISBN: 0792338960 ISBN-13(EAN): 9780792338963 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The linear theory of oscillations traditionally operates with frequency representa- tions based on the concepts of a transfer function and a frequency response. The universality of the critria of Nyquist and Mikhailov and the simplicity and obvi- ousness of the application of frequency and amplitude - frequency characteristics in analysing forced linear oscillations greatly encouraged the development of practi- cally important nonlinear theories based on various forms of the harmonic balance hypothesis 303]. Therefore mathematically rigorous frequency methods of investi- gating nonlinear systems, which appeared in the 60s, also began to influence many areas of nonlinear theory of oscillations. First in this sphere of influence was a wide range of problems connected with multidimensional analogues of the famous van der Pol equation describing auto- oscillations of generators of various radiotechnical devices. Such analogues have as a rule a unique unstable stationary point in the phase space and are Levinson dis- sipative. One of the pioneering works in this field, which started the investigation of a three-dimensional analogue of the van der Pol equation, was K. O. Friedrichs's paper 123]. The author suggested a scheme for constructing a positively invariant set homeomorphic to a torus, by means of which the existence of non-trivial periodic solutions was established. That scheme was then developed and improved for dif- ferent classes of multidimensional dynamical systems 131, 132, 297, 317, 334, 357, 358]. The method of Poincare mapping 12, 13, 17] in piecewise linear systems was another intensively developed direction.
Автор: Johnson, Russell Obaya, Rafael Novo, Sylvia Nunez, Carmen Fabbri, Roberta Название: Nonautonomous linear hamiltonian systems: oscillation, spectral theory and control ISBN: 3319290231 ISBN-13(EAN): 9783319290232 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence.
Автор: C. Dafermos; J.L. Ericksen; D. Kinderlehrer; M. Sl Название: Oscillation Theory, Computation, and Methods of Compensated Compactness ISBN: 1461386918 ISBN-13(EAN): 9781461386919 Издательство: Springer Рейтинг: Цена: 113190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This IMA Volume in Mathematics and its Applications Oscillation Theory, Computation, and Methods of Compensated Compactness represents the proceedings of a workshop which was an integral part of the 1984-85 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS. We are grateful to the Scientific Committee: J. L. Ericksen D. Kinderlehrer H. Brezis C. Dafermos for their dedication and hard work in developing an imaginative, stimulating, and productive year-long program. George R. Sell Hans Weinberger PREFACE Historically, one of the most important prohlems in continuum mechanics has been the treatment of nonlinear hyperbolic systems of conservation laws. Thp. importance of these systems lies in the fact that the underlyinq equ tions of mass, momentum, and energy are descrihed by conservation laws. Their nonlinearity and hyperbolicity are consequences of some cornmon constitutive relations, for example, in an ideal gas. The I. M. A. Workshop on "Osci 11 at i on theory. computat i on, and methods of com- pensated compactness" brought together scientists from both the analytical and numerical sides of conservation law research. The goal was to examine recent trends in the investigation of systems of conservation laws and in particular to focus on the roles of dispersive and diffusive limits for singularily perturbed conservation laws. Special attention was devoted to the new ideas of compen- sated compactness and oscillation theory.
Автор: Nguyen Van Dao; E.J. Kreuzer Название: IUTAM Symposium on Recent Developments in Non-linear Oscillations of Mechanical Systems ISBN: 0792364708 ISBN-13(EAN): 9780792364702 Издательство: Springer Рейтинг: Цена: 204040.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Contains 32 selected papers that cover: non-linear oscillations of beams, plates, vehicles, and other dynamic systems; analysis and control of non-linear systems; non-linear waves; dynamics of offshore structures; system identification; and, mathematical and numerical methods for investigating non-linear systems.
Автор: Uri Elias Название: Oscillation Theory of Two-Term Differential Equations ISBN: 0792344472 ISBN-13(EAN): 9780792344476 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Deals with oscillation theory. This title considers the two-term linear differential equations Lny + p(x)y = 0, where Ln is a disconjugate operator of order n and p(x) has a fixed sign. It pays attention to the equation y(n) + p(x)y = 0.
Автор: Uri Elias Название: Oscillation Theory of Two-Term Differential Equations ISBN: 9048148065 ISBN-13(EAN): 9789048148066 Издательство: Springer Рейтинг: Цена: 130390.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The other restricts its area of interest to certain families of equations and studies in maximal details phenomena which characterize only those equations. Among them we find third and fourth order equations, self adjoint equations, etc.
Автор: R.P. Agarwal; Said R. Grace; Donal O`Regan Название: Oscillation Theory for Difference and Functional Differential Equations ISBN: 0792362896 ISBN-13(EAN): 9780792362890 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This text reviews material from more than 300 publications on the oscillation theory of difference and functional differential equations of various types.
Автор: R.P. Agarwal; Said R. Grace; Donal O`Regan Название: Oscillation Theory for Difference and Functional Differential Equations ISBN: 9048154472 ISBN-13(EAN): 9789048154470 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph is devoted to a rapidly developing area of research of the qualitative theory of difference and functional differential equations. In fact, in the last 25 years Oscillation Theory of difference and functional differential equations has attracted many researchers. This has resulted in hundreds of research papers in every major mathematical journal, and several books. In the first chapter of this monograph, we address oscillation of solutions to difference equations of various types. Here we also offer several new fundamental concepts such as oscillation around a point, oscillation around a sequence, regular oscillation, periodic oscillation, point-wise oscillation of several orthogonal polynomials, global oscillation of sequences of real- valued functions, oscillation in ordered sets, ( , R, )-oscillate, oscillation in linear spaces, oscillation in Archimedean spaces, and oscillation across a family. These concepts are explained through examples and supported by interesting results. In the second chapter we present recent results pertaining to the oscil- lation of n-th order functional differential equations with deviating argu- ments, and functional differential equations of neutral type. We mainly deal with integral criteria for oscillation. While several results of this chapter were originally formulated for more complicated and/or more general differ- ential equations, we discuss here a simplified version to elucidate the main ideas of the oscillation theory of functional differential equations. Further, from a large number of theorems presented in this chapter we have selected the proofs of only those results which we thought would best illustrate the various strategies and ideas involved.
Автор: G.A. Leonov; I.M. Burkin; A.I. Shepeljavyi Название: Frequency Methods in Oscillation Theory ISBN: 9401065705 ISBN-13(EAN): 9789401065702 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: K. Kreith Название: Oscillation Theory ISBN: 3540062580 ISBN-13(EAN): 9783540062585 Издательство: Springer Рейтинг: Цена: 23280.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Palva Название: Multimodal Oscillation-based Connectivity Theory ISBN: 331932263X ISBN-13(EAN): 9783319322636 Издательство: Springer Рейтинг: Цена: 113190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Systems-level neuronal mechanisms that coordinate the temporally, anatomically, and functionally distributed neuronal activity into coherent cognitive operations in the human brain have remained poorly understood. In humans, neuronal oscillations and synchronization can be recorded non-invasively with electro- and magnetoencephalography (EEG and MEG) that have excellent temporal resolution and an adequate spatial resolution when combined with source-reconstruction methods. In this book, leading authors in the field describe how recent methodological advances have paved the way to several major breakthroughs in the observations of large-scale synchrony from human non-invasive MEG data.
This volume also presents the caveats influencing analyses of synchronization. These include the non-homogeneous sensitivity of MEG to superficial cortical sources, and, most importantly, the multitude of consequences of linear mixing. Linear mixing is an immense confounder in the sensor-level analyses of synchronization, but is also present at the source level. Approaches that can be used to avoid or compensate for these issues are then discussed.
Thereafter, several authors take up a number of the functional roles that large-scale synchronization has in cognition. The authors assess how the spatio–temporal and –spectral organization and strength of both local and large-scale synchronized networks are associated with conscious sensory perception, visual working memory functions, and attention. These chapters summarize several lines of research showing how the strength of local and inter-areal oscillations in both cortical and subcortical brain structures is correlated with cognitive functions. Together these data suggest that synchronized neuronal oscillations may be a systems-level neuronal mechanism underlying the coordination of distributed processing in human cognition. In line with this argument, other authors go on to describe how oscillations and synchronization are altered in clinical populations, complementing the data presented on healthy subjects.
Importantly, this book includes chapters from authors using many different approaches to the analyses of neuronal oscillations, ranging from local oscillatory activities to the usage of graph theoretical tools in the analyses of synchronization. In this way the present volume provides a comprehensive view on the analyses and functional significance of neuronal oscillations in humans. This book is aimed at doctoral and post-doctoral students as well as research scientists in the fields of cognitive neuroscience, psychology, medicine, and neurosciences.
Автор: Tim Van Hoolst; Paul Smeyers Название: Linear Isentropic Oscillations of Stars ISBN: 3642266126 ISBN-13(EAN): 9783642266126 Издательство: Springer Рейтинг: Цена: 174130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book surveys the theory of free, linear, isentropic oscillations in spherically symmetric, gaseous equilibrium stars, from basic concepts to asymptotic representations of normal modes and with slow period changes in rapidly evolving pulsating stars.
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