Perturbations Of Positive Semigroups With Applications

Author : Jacek Banasiak
Publisher : Springer Science & Business Media
ISBN 13 : 1846281539
Total Pages : 443 pages
Book Rating : 4.32/5 ( download)

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Download or read book Perturbations of Positive Semigroups with Applications written by Jacek Banasiak and published by Springer Science & Business Media. This book was released on 2006-02-02 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals mainly with modelling systems that change with time. The evolution equations that it describes can be found in a number of application areas, such as kinetics, fragmentation theory and mathematical biology. This will be the first self-contained account of the area.

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ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.12/5 ( download)

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Download or read book Perturbations of Positive Semigroups with Applications written by and published by . This book was released on 2006 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jacek Banasiak
Publisher : Springer
ISBN 13 : 9781848008908
Total Pages : 438 pages
Book Rating : 4.02/5 ( download)

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Download or read book Perturbations of Positive Semigroups with Applications written by Jacek Banasiak and published by Springer. This book was released on 2009-10-12 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals mainly with modelling systems that change with time. The evolution equations that it describes can be found in a number of application areas, such as kinetics, fragmentation theory and mathematical biology. This will be the first self-contained account of the area.

Author : Jacek Banasiak
Publisher : Springer
ISBN 13 : 3319121456
Total Pages : 338 pages
Book Rating : 4.51/5 ( download)

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Download or read book Semigroups of Operators -Theory and Applications written by Jacek Banasiak and published by Springer. This book was released on 2014-11-20 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while the fundamental generation theorem of Hille and Yosida dates back to the forties. The theory was, from the very beginning, designed as a universal language for partial differential equations and stochastic processes, but at the same time it started to live as an independent branch of operator theory. Nowadays, it still has the same distinctive flavour: it develops rapidly by posing new ‘internal’ questions and in answering them, discovering new methods that can be used in applications. On the other hand, it is influenced by questions from PDEs and stochastic processes as well as from applied sciences such as mathematical biology and optimal control, and thus it continually gathers a new momentum. Researchers and postgraduate students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimization and optimal control will find this volume useful.

Author : O. Bratteli
Publisher : Springer Science & Business Media
ISBN 13 : 9400964846
Total Pages : 200 pages
Book Rating : 4.46/5 ( download)

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Download or read book Positive Semigroups of Operators, and Applications written by O. Bratteli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This means that semigroup theory may be applied directly to the study of the equation I'!.f = h on M. In [45] Yau proves that, for h ~ 0, there are no nonconstant, nonnegative solutions f in [j' for 1

Author : András Bátkai
Publisher : Birkhäuser
ISBN 13 : 3319428136
Total Pages : 364 pages
Book Rating : 4.30/5 ( download)

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Download or read book Positive Operator Semigroups written by András Bátkai and published by Birkhäuser. This book was released on 2017-02-13 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes. In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way which can be used in the infinite dimensional situation. Applications to graph matrices, age structured population models and economic models are discussed. The infinite dimensional theory of positive operator semigroups with their spectral and asymptotic theory is developed in the second part. Recent applications illustrate the theory, like population equations, neutron transport theory, delay equations or flows in networks. Each chapter is accompanied by a large set of exercises. An up-to-date bibliography and a detailed subject index help the interested reader. The book is intended primarily for graduate and master students. The finite dimensional part, however, can be followed by an advanced bachelor with a solid knowledge of linear algebra and calculus.

Author : Phillipe Clement
Publisher : CRC Press
ISBN 13 : 1000154211
Total Pages : 476 pages
Book Rating : 4.14/5 ( download)

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Download or read book semigroup theory and applications written by Phillipe Clement and published by CRC Press. This book was released on 2020-12-22 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains articles on maximal regulatory problems, interpolation spaces, multiplicative perturbations of generators, linear and nonlinear evolution equations, integrodifferential equations, dual semigroups, positive semigroups, applications to control theory, and boundary value problems.

Author : Jacek Banasiak
Publisher : Springer
ISBN 13 : 3540783628
Total Pages : 340 pages
Book Rating : 4.26/5 ( download)

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Download or read book Multiscale Problems in the Life Sciences written by Jacek Banasiak and published by Springer. This book was released on 2008-04-08 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume that presents lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of a hierarchy of models of complex systems in the natural sciences, with a special attention to biology and medicine. Mastering complexity implies sharing different tools requiring much higher level of communication between different mathematical and scientific schools, for solving classes of problems of the same nature. Today more than ever, one of the most important challenges derives from the need to bridge parts of a system evolving at different time and space scales, especially with respect to computational affordability. As a result the content has a rather general character; the main role is played by stochastic processes, positive semigroups, asymptotic analysis, kinetic theory, continuum theory, and game theory.

Author : Jacek Banasiak
Publisher : Springer
ISBN 13 : 3319113224
Total Pages : 493 pages
Book Rating : 4.27/5 ( download)

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Download or read book Evolutionary Equations with Applications in Natural Sciences written by Jacek Banasiak and published by Springer. This book was released on 2014-11-07 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory. Truly unique features of the book are: the first simultaneous presentation of two complementary approaches to fragmentation and coagulation problems, by weak compactness methods and by using semigroup techniques, comprehensive exposition of probabilistic methods of analysis of long term dynamics of dynamical systems, semigroup analysis of biological problems and cutting edge pattern formation theory. The book will appeal to postgraduate students and researchers specializing in applications of mathematics to problems arising in natural sciences and engineering.

Author : Marko Kostić
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111233871
Total Pages : 576 pages
Book Rating : 4.71/5 ( download)

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Download or read book Metrical Almost Periodicity and Applications to Integro-Differential Equations written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-06-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: