Almost Periodic Oscillations And Waves

Autor: Constantin Corduneanu
Publisher: Springer Science & Business Media
ISBN: 0387098194
File Size: 10,85 MB
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This text is well-designed with respect to the exposition from the preliminary to the more advanced and the applications interwoven throughout. It provides the essential foundations for the theory as well as the basic facts relating to almost periodicity. In six structured and self-contained chapters, the author unifies the treatment of various classes of almost periodic functions, while uniquely addressing oscillations and waves in the almost periodic case. This is the first text to present the latest results in almost periodic oscillations and waves. The presentation level and inclusion of several clearly presented proofs make this work ideal for graduate students in engineering and science. The concept of almost periodicity is widely applicable to continuuum mechanics, electromagnetic theory, plasma physics, dynamical systems, and astronomy, which makes the book a useful tool for mathematicians and physicists.

Almost Automorphic Type And Almost Periodic Type Functions In Abstract Spaces

Autor: Toka Diagana
Publisher: Springer Science & Business Media
ISBN: 3319008498
File Size: 56,49 MB
Format: PDF, ePub
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This book presents a comprehensive introduction to the concepts of almost periodicity, asymptotic almost periodicity, almost automorphy, asymptotic almost automorphy, pseudo-almost periodicity, and pseudo-almost automorphy as well as their recent generalizations. Some of the results presented are either new or else cannot be easily found in the mathematical literature. Despite the noticeable and rapid progress made on these important topics, the only standard references that currently exist on those new classes of functions and their applications are still scattered research articles. One of the main objectives of this book is to close that gap. The prerequisites for the book is the basic introductory course in real analysis. Depending on the background of the student, the book may be suitable for a beginning graduate and/or advanced undergraduate student. Moreover, it will be of a great interest to researchers in mathematics as well as in engineering, in physics, and related areas. Further, some parts of the book may be used for various graduate and undergraduate courses.

Travelling Waves And Periodic Oscillations In Fermi Pasta Ulam Lattices

Autor: Alexander Pankov
Publisher: Imperial College Press
ISBN: 1860947212
File Size: 70,10 MB
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This is a unique book that presents rigorous mathematical results on FermiPastaUlam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc. It considers travelling waves and time periodic oscillations in infinite FermiPastaUlam lattices, which are not necessarily spatially homogenous. Similar systems, infinite chains of linearly coupled nonlinear oscillators, are also discussed. The book is self-contained and includes a number of open problems, making it suitable for use in a course for graduate students.

Physics Of Intense Beams In Plasmas

Autor: M.V Nezlin
Publisher: CRC Press
ISBN: 9780750301862
File Size: 56,57 MB
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Physics of Intense Beams in Plasmas is a comprehensive description of the interaction between extremely intense particle beams and plasmas. The emphasis is on experimental beam-plasma physics, but the necessary theory is also explained-much of which is innovative and original. Central to the book is the discussion of beam instabilities, emphasizing their hydrodynamic nature.

Nonlinear Vibrations And The Wave Equation

Autor: Alain Haraux
Publisher: Springer
ISBN: 331978515X
File Size: 62,61 MB
Format: PDF
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This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field.

Pseudo Almost Periodic Functions In Banach Spaces

Autor: Toka Diagana
Publisher: Nova Publishers
ISBN: 9781600216374
File Size: 79,74 MB
Format: PDF
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"This book provides the reader with a comprehensive and accessible introduction to the concepts of almost periodicity and pseudo almost periodicity as well as their applications to differential equations, partial differential equations, integral equations, and partial neutral functional differential equations with delay on Banach spaces. Further, the book offers various sufficient conditions, which do guarantee the existence and uniqueness of pseudo almost periodic solutions to the heat equation, reaction-diffusion equation, transport equation, logistic equation with delay, and neutral partial functional differential equations with delays arising in control systems."--BOOK JACKET.

Semi Linear Hyperbolic Problems In Bounded Domains

Autor: Alain Haraux
Publisher: CRC Press
ISBN: 9783718604609
File Size: 37,51 MB
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The opening chapter provides background information on the basic functional setting, semi-groups and the abstract wave equation, almost periodicity and the wave equation, and technical tools. Succeeding chapters cover the initial value problem, asymptotics in autonomous cases, non-resonance in the purely dissipative case, stability of periodic and almost-periodic solutions, oscillation properties in the conservative case, and global properties of the full equation. Includes bibliographic references and indexes by author and subject.

Hierarchical Methods

Autor: V. Kulish
Publisher: Springer Science & Business Media
ISBN: 1402007574
File Size: 41,38 MB
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Everybody is current in a world surrounded by computer. Computers determine our professional activity and penetrate increasingly deeper into our everyday life. Therein we also need increasingly refined c- puter technology. Sometimes we think that the next generation of c- puter will satisfy all our dreams, giving us hope that most of our urgent problems will be solved very soon. However, the future comes and il- sions dissipate. This phenomenon occurs and vanishes sporadically, and, possibly, is a fundamental law of our life. Experience shows that indeed ‘systematically remaining’ problems are mainly of a complex tech- logical nature (the creation of new generation of especially perfect - croschemes, elements of memory, etc. ). But let us note that amongst these problems there are always ones solved by our purely intellectual efforts alone. Progress in this direction does not require the invention of any ‘superchip’ or other similar elements. It is important to note that the results obtained in this way very often turn out to be more significant than the ‘fruits’ of relevant technological progress. The hierarchical asymptotic analytical–numerical methods can be - garded as results of such ‘purely intellectual efforts’. Their application allows us to simplify essentially computer calculational procedures and, consequently, to reduce the calculational time required. It is obvious that this circumstance is very attractive to any computer user.