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Author : Hendrik Vogt
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (18 download)
Download or read book Modulus Semigroups and Perturbation Classes for Linear Delay Equations in Lp written by Hendrik Vogt and published by . This book was released on 2007 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andras Batkai
Publisher : CRC Press
ISBN 13 : 143986568X
Total Pages : 272 pages
Book Rating : 4.4/5 (398 download)
Download or read book Semigroups for Delay Equations written by Andras Batkai and published by CRC Press. This book was released on 2005-09-05 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a systematic fashion, how delay equations can be studied
Download or read book The modulus semigroup for linear delay equations written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dimitri Breda
Publisher : Springer
ISBN 13 : 149392107X
Total Pages : 162 pages
Book Rating : 4.4/5 (939 download)
Download or read book Stability of Linear Delay Differential Equations written by Dimitri Breda and published by Springer. This book was released on 2014-10-21 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the authors' recent work on the numerical methods for the stability analysis of linear autonomous and periodic delay differential equations, which consist in applying pseudospectral techniques to discretize either the solution operator or the infinitesimal generator and in using the eigenvalues of the resulting matrices to approximate the exact spectra. The purpose of the book is to provide a complete and self-contained treatment, which includes the basic underlying mathematics and numerics, examples from population dynamics and engineering applications, and Matlab programs implementing the proposed numerical methods. A number of proofs is given to furnish a solid foundation, but the emphasis is on the (unifying) idea of the pseudospectral technique for the stability analysis of DDEs. It is aimed at advanced students and researchers in applied mathematics, in dynamical systems and in various fields of science and engineering, concerned with delay systems. A relevant feature of the book is that it also provides the Matlab codes to encourage the readers to experience the practical aspects. They could use the codes to test the theory and to analyze the performances of the methods on the given examples. Moreover, they could easily modify them to tackle the numerical stability analysis of their own delay models.
Author :
Publisher :
ISBN 13 :
Total Pages : 1884 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marius Tucsnak
Publisher : Springer Science & Business Media
ISBN 13 : 3764389931
Total Pages : 488 pages
Book Rating : 4.7/5 (643 download)
Download or read book Observation and Control for Operator Semigroups written by Marius Tucsnak and published by Springer Science & Business Media. This book was released on 2009-03-13 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies observation and control operators for linear systems where the free evolution of the state can be described by an operator semigroup on a Hilbert space. It includes a large number of examples coming mostly from partial differential equations.
Author : Klaus-Jochen Engel
Publisher : Springer Science & Business Media
ISBN 13 : 0387226427
Total Pages : 609 pages
Book Rating : 4.3/5 (872 download)
Download or read book One-Parameter Semigroups for Linear Evolution Equations written by Klaus-Jochen Engel and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.
Author : Delio Mugnolo
Publisher : Springer
ISBN 13 : 3319046217
Total Pages : 294 pages
Book Rating : 4.3/5 (19 download)
Download or read book Semigroup Methods for Evolution Equations on Networks written by Delio Mugnolo and published by Springer. This book was released on 2014-05-21 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future research thus calls for solid theoretical foundations. This book is specifically devoted to the study of evolution equations – i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schrödinger equation (quantum graphs) – bearing in mind that the majority of the literature in the last ten years on the subject of differential equations of graphs has been devoted to elliptic equations and related spectral problems. Moreover, for tackling the most general settings - e.g. encoded in the transmission conditions in the network nodes - one classical and elegant tool is that of operator semigroups. This book is simultaneously a very concise introduction to this theory and a handbook on its applications to differential equations on networks. With a more interdisciplinary readership in mind, full proofs of mathematical statements have been frequently omitted in favor of keeping the text as concise, fluid and self-contained as possible. In addition, a brief chapter devoted to the field of neurodynamics of the brain cortex provides a concrete link to ongoing applied research.
Author : Edward Brian Davies
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (44 download)
Download or read book One-parameter Semigroups written by Edward Brian Davies and published by . This book was released on 1980 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Die deutsche Nationalbibliothek
Publisher :
ISBN 13 :
Total Pages : 944 pages
Book Rating : 4.6/5 (438 download)
Download or read book Deutsche Nationalbibliografie written by Die deutsche Nationalbibliothek and published by . This book was released on 2007 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gisele Ruiz Goldstein
Publisher : CRC Press
ISBN 13 : 9780824709754
Total Pages : 442 pages
Book Rating : 4.7/5 (97 download)
Download or read book Evolution Equations written by Gisele Ruiz Goldstein and published by CRC Press. This book was released on 2003-06-24 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and linear and nonlinear partial differential equations, and studies the latest theoretical developments and uses of evolution equations in a variety of disciplines. Providing nearly 500 references, the book contains discussions by renowned mathematicians such as H. Brezis, G. Da Prato, N.E. Gretskij, I. Lasiecka, Peter Lax, M. M. Rao, and R. Triggiani.
Author : Yuri Kuznetsov
Publisher : Springer Science & Business Media
ISBN 13 : 1475739788
Total Pages : 648 pages
Book Rating : 4.4/5 (757 download)
Download or read book Elements of Applied Bifurcation Theory written by Yuri Kuznetsov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.
Author : Vladimir Igorevich Bogachev
Publisher : American Mathematical Soc.
ISBN 13 : 082184993X
Total Pages : 506 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differentiable Measures and the Malliavin Calculus written by Vladimir Igorevich Bogachev and published by American Mathematical Soc.. This book was released on 2010-07-21 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with the principal concepts and results related to differential properties of measures on infinite dimensional spaces. In the finite dimensional case such properties are described in terms of densities of measures with respect to Lebesgue measure. In the infinite dimensional case new phenomena arise. For the first time a detailed account is given of the theory of differentiable measures, initiated by S. V. Fomin in the 1960s; since then the method has found many various important applications. Differentiable properties are described for diverse concrete classes of measures arising in applications, for example, Gaussian, convex, stable, Gibbsian, and for distributions of random processes. Sobolev classes for measures on finite and infinite dimensional spaces are discussed in detail. Finally, we present the main ideas and results of the Malliavin calculus--a powerful method to study smoothness properties of the distributions of nonlinear functionals on infinite dimensional spaces with measures. The target readership includes mathematicians and physicists whose research is related to measures on infinite dimensional spaces, distributions of random processes, and differential equations in infinite dimensional spaces. The book includes an extensive bibliography on the subject.
Author : Augusto Visintin
Publisher : Springer Science & Business Media
ISBN 13 : 1461240786
Total Pages : 334 pages
Book Rating : 4.4/5 (612 download)
Download or read book Models of Phase Transitions written by Augusto Visintin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... "What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a), he it is, and maybe it aill't. All I know, is, it suits Tom Sawvc/:" "Oil CO/lll!, IIOW, Will do not mean to let 011 that you like it?" The brush continued to move. "Likc it? Well, I do not see wlzy I oughtn't to like it. Does a hoy get a chance to whitewash a fence every day?" That put the thing ill a Ilew light. Ben stopped nibhling the apple ... (From Mark Twain's Adventures of Tom Sawyer, Chapter II.) Mathematics can put quantitative phenomena in a new light; in turn applications may provide a vivid support for mathematical concepts. This volume illustrates some aspects of the mathematical treatment of phase transitions, namely, the classical Stefan problem and its generalizations. The in tended reader is a researcher in application-oriented mathematics. An effort has been made to make a part of the book accessible to beginners, as well as physicists and engineers with a mathematical background. Some room has also been devoted to illustrate analytical tools. This volume deals with research I initiated when I was affiliated with the Istituto di Analisi Numerica del C.N.R. in Pavia, and then continued at the Dipartimento di Matematica dell'Universita di Trento. It was typeset by the author in plain TEX
Author : András Bátkai
Publisher : A K Peters, Ltd.
ISBN 13 : 9781568812434
Total Pages : 259 pages
Book Rating : 4.8/5 (124 download)
Download or read book Semigroups for Delay Equations written by András Bátkai and published by A K Peters, Ltd.. This book was released on 2005 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a systematic fashion, how delay equations can be studied in Lp-history spaces.Appendices offering supplementary information and a comprehensive index make this book an ideal introduction and research tool for mathematicians, chemists, biologists and economists.
Author : Olof J. Staffans
Publisher : Cambridge University Press
ISBN 13 : 0521825849
Total Pages : 795 pages
Book Rating : 4.5/5 (218 download)
Download or read book Well-Posed Linear Systems written by Olof J. Staffans and published by Cambridge University Press. This book was released on 2005-02-24 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Author : Juan Luis Vazquez
Publisher : Oxford University Press
ISBN 13 : 0198569033
Total Pages : 647 pages
Book Rating : 4.1/5 (985 download)
Download or read book The Porous Medium Equation written by Juan Luis Vazquez and published by Oxford University Press. This book was released on 2007 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood. In this monograph, aimed at research students and academics in mathematics and engineering, as well as engineering specialists, Professor Vazquez provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heatequation usually called the Porous Medium Equation (PME). This equation appears in a number of physical applications, such as to describe processes involving fluid flow, heat transfer or diffusion. Other applications have been proposed in mathematical biology, lubrication, boundary layer theory, andother fields. Each chapter contains a detailed introduction and is supplied with a section of notes, providing comments, historical notes or recommended reading, and exercises for the reader.
