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Author: S D Zaidman
Publisher: CRC Press
ISBN: 9780582253407
Category : Mathematics
Languages : en
Pages : 184
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Book Description
This looks at a new branch of operator theory and partial differential equations, which in recent years, has become a rapidly growing field of mathematics. Well-posed problems are studied in the context of the theory of operator groups and semigroups as well as the framework of time dependent evolution equations. Non well-posed problems are also considered.
Author: S D Zaidman
Publisher: CRC Press
ISBN: 9780582253407
Category : Mathematics
Languages : en
Pages : 184
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Book Description
This looks at a new branch of operator theory and partial differential equations, which in recent years, has become a rapidly growing field of mathematics. Well-posed problems are studied in the context of the theory of operator groups and semigroups as well as the framework of time dependent evolution equations. Non well-posed problems are also considered.
Author: Paul Waltman
Publisher: Elsevier
ISBN: 1483276600
Category : Mathematics
Languages : en
Pages : 272
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Book Description
A Second Course in Elementary Differential Equations deals with norms, metric spaces, completeness, inner products, and an asymptotic behavior in a natural setting for solving problems in differential equations. The book reviews linear algebra, constant coefficient case, repeated eigenvalues, and the employment of the Putzer algorithm for nondiagonalizable coefficient matrix. The text describes, in geometrical and in an intuitive approach, Liapunov stability, qualitative behavior, the phase plane concepts, polar coordinate techniques, limit cycles, the Poincaré-Bendixson theorem. The book explores, in an analytical procedure, the existence and uniqueness theorems, metric spaces, operators, contraction mapping theorem, and initial value problems. The contraction mapping theorem concerns operators that map a given metric space into itself, in which, where an element of the metric space M, an operator merely associates with it a unique element of M. The text also tackles inner products, orthogonality, bifurcation, as well as linear boundary value problems, (particularly the Sturm-Liouville problem). The book is intended for mathematics or physics students engaged in ordinary differential equations, and for biologists, engineers, economists, or chemists who need to master the prerequisites for a graduate course in mathematics.
Author: George Finlay Simmons
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 465
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Book Description
Author: F Ledrappier
Publisher: CRC Press
ISBN: 9780582302969
Category : Mathematics
Languages : en
Pages : 260
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Book Description
This volume clearly reflects Ricardo Mane's legacy, his contribution to mathematics and the diversity of his mathematical intersts. It contains fifteen refereed research papers on thems including Hamiltonian and Lagrangian dynamics, growth rate of the number of geodesics on a compact manifold, one dimensional complex and real dynamics, and bifurcations and singular cycles. This book also contains two famous sets of notes by Ricardo Mane. One is the seminal paper on Lagrangian dynamics that he had prepared for the conference; the other is on the genericity of zero exponents area preserving diffeomorphisms on surfaces when non Anosov. This book will be of particular interest to researchers and graduate students in mathematics, mechanics and mathematical physics.
Author: K I Rosenthal
Publisher: CRC Press
ISBN: 1498710409
Category : Mathematics
Languages : en
Pages : 160
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Book Description
This book presents a detailed account of the theory of quantaloids, a natural generalization of quantales. The basic theory, examples and construction are given and particular emphasis is placed on the free quantaloid construction, as well as on the perspective provided by enriched categories.
Author: Vladislav V Kravchenko
Publisher: CRC Press
ISBN: 1000115291
Category : Mathematics
Languages : en
Pages : 256
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Book Description
This book provides a new mathematical theory for the treatment of an ample series of spatial problems of electrodynamics, particle physics, quantum mechanics and elasticity theory. This technique proves to be as powerful for solving the spatial problems of mathematical physics as complex analysis is for solving planar problems. The main analytic tool of the book, a non-harmonic version of hypercomplex analysis recently developed by the authors, is presented in detail. There are given applications of this theory to the boundary value problems of electrodynamics and elasticity theory as well as to the problem of quark confinement. A new approach to the linearization of special classes of the self-duality equation is also considered. Detailed proofs are given throughout. The book contains an extensive bibliography on closely related topics. This book will be of particular interest to academic and professional specialists and students in mathematics and physics who are interested in integral representations for partial differential equations. The book is self-contained and could be used as a main reference for special course seminars on the subject.
Author: R. Wiegandt
Publisher: CRC Press
ISBN: 9780582292819
Category : Mathematics
Languages : en
Pages : 276
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Book Description
First published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.
Author: D.F. Griffiths
Publisher: CRC Press
ISBN: 9780582276338
Category : Mathematics
Languages : en
Pages : 258
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Book Description
This volume contains invited papers presented at the 16th Dundee Biennial Conference on Numerical Analysis held at the University of Dundee, 27-30 June, 1995. The Dundee Conferences are important events in the numerical analysis calendar, and the thirteen papers published here represent accounts of recent research work by leading numerical analysts covering a wide range of fields of interest. The book is a valuable guide to the direction of current research in many areas of numerical analysis. It will be of particular interest to graduate students and research workers concerned with the theory and application of numerical methods for solving ordinary and partial differential equations, with emphasis on problems in fluid dynamics. It also contains contributions to research into methods of linear algebra, numerical methods for optimisation problems and surface fitting.
Author: James Hetao Liu
Publisher: World Scientific
ISBN: 9812818235
Category : Mathematics
Languages : en
Pages : 219
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Book Description
This book presents recent methods of study on the asymptotic behavior of solutions of abstract differential equations such as stability, exponential dichotomy, periodicity, almost periodicity, and almost automorphy of solutions. The chosen methods are described in a way that is suitable to those who have some experience with ordinary differential equations. The book is intended for graduate students and researchers in the related areas.
Author: Toka Diagana
Publisher: Nova Publishers
ISBN: 9781594544248
Category : Mathematics
Languages : en
Pages : 136
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Book Description
This book provides the reader with a self-contained treatment of the classical operator theory with significant applications to abstract differential equations, and an elegant introduction to basic concepts and methods of the rapidly growing theory of the so-called p-adic operator theory.
