Download or read book A Generalized Taylor s Formula for Functions of Several Variables and Certain of its Applications written by J A Riestra and published by CRC Press. This book was released on 2021-02-27 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical Taylor's formula of advanced calculus is generalized, extending the notion of the differentiability class Cm, with applications to maxima and minima and to sufficiency of jets.
Download or read book A Generalized Taylor s Formula for Functions of Several Variables and Certain of Its Applications written by J. - A. Riestra and published by Longman Sc & Tech. This book was released on 1995-07-01 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Integral Expansions Related to Mehler Fock Type Transforms written by B N Mandal and published by CRC Press. This book was released on 2020-11-25 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integral transforms. In this book, a number of integral expansions of such type have been established rigorously. As applications, integral expansions of some simple function are also obtained.
Download or read book Topics in Pseudo DIfferential Operators written by S D Zaidman and published by CRC Press. This book was released on 1996-10-29 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note presents in a clear and detailed manner a certain group of results pertaining to some variants, extensions and generalizations on the theory of pseudo-differential operators as introduced in the pioneering work of Kohn-Nirenberg. The author presents a discussion of concepts of order, true order and asymptotic expansions for general linear operators in some vector spaces, following a pattern appearing in pseudo-differential operator theory. The book is intended mainly for an audience of operator theorists, at a fairly elementary level; its main objective a unitary presentation of articles written by the author over a number of years.
Download or read book Lectures on Bifurcations Dynamics and Symmetry written by Michael J. Field and published by CRC Press. This book was released on 2020-02-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded version of a Master Class on the symmetric bifurcation theory of differential equations given by the author at the University of Twente in 1995. The notes cover a wide range of recent results in the subject, and focus on the dynamics that can appear in the generic bifurcation theory of symmetric differential equations. This text covers a wide range of current results in the subject of bifurcations, dynamics and symmetry. The style and format of the original lectures has largely been maintained and the notes include over 70 exercises.
Download or read book Complex Analysis and Geometry written by Vincenzo Ancona and published by CRC Press. This book was released on 1997-04-27 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on two conferences held in Trento, Italy, this volume contains 13 research papers and two survey papers on complex analysis and complex algebraic geometry. The main topics addressed by these leading researchers include: Mori theory polynomial hull vector bundles q-convexity Lie groups and actions on complex spaces hypercomplex structures pseudoconvex domains projective varieties Peer-reviewed and extensively referenced, Complex Analysis and Geometry contains recent advances and important research results. It also details several problems that remain open, the resolution of which could further advance the field.
Download or read book Mathematical Theory in Fluid Mechanics written by G P Galdi and published by CRC Press. This book was released on 1996-08-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of four contributions that are based on a series of lectures delivered by Jens Frehse. Konstantin Pikeckas, K.R. Rajagopal and Wolf von Wahl t the Fourth Winter School in Mathematical Theory in Fluid Mechanics, held in Paseky, Czech Republic, from December 3-9, 1995. In these papers the authors present the latest research and updated surveys of relevant topics in the various areas of theoretical fluid mechanics. Specifically, Frehse and Ruzicka study the question of the existence of a regular solution to Navier-Stokes equations in five dimensions by means of weighted estimates. Pileckas surveys recent results regarding the solvability of the Stokes and Navier-Stokes system in domains with outlets at infinity. K.R. Rajagopal presents an introduction to a continuum approach to mixture theory with the emphasis on the constitutive equation, boundary conditions and moving singular surface. Finally, Kaiser and von Wahl bring new results on stability of basic flow for the Taylor-Couette problem in the small-gap limit. This volume would be indicated for those in the fields of applied mathematicians, researchers in fluid mechanics and theoretical mechanics, and mechanical engineers.
Download or read book Dynamics of Nonlinear Waves in Dissipative Systems Reduction Bifurcation and Stability written by G Dangelmayr and published by CRC Press. This book was released on 1996-08-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical description of complex spatiotemporal behaviour observed in dissipative continuous systems is a major challenge for modern research in applied mathematics. While the behaviour of low-dimensional systems, governed by the dynamics of a finite number of modes is well understood, systems with large or unbounded spatial domains show intrinsic infinite-dimensional behaviour --not a priori accessible to the methods of finite dimensionaldynamical systems. The purpose of the four contributions in this book is to present some recent and active lines of research in evolution equations posed in large or unbounded domains. One of the most prominent features of these systems is the propagation of various types of patterns in the form of waves, such as travelling and standing waves and pulses and fronts. Different approaches to studying these kinds of phenomena are discussed in the book. A major theme is the reduction of an original evolution equation in the form of a partial differential equation system to a simpler system of equations, either a system of ordinary differential equation or a canonical system of PDEs. The study of the reduced equations provides insight into the bifurcations from simple to more complicated solutions and their stabilities. .
Download or read book Numerical Methods in Mechanics written by Carlos Conca and published by CRC Press. This book was released on 1997-07-16 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the invited papers given at the Fourth French-Latin American Congress on Applied Mathematics. New numerical techniques in fluid and solid mechanics were presented.
Download or read book International Conference On Dynamical Systems written by F Ledrappier and published by CRC Press. This book was released on 1997-05-15 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nonlinear Partial Differential Equations written by A Benkirane and published by CRC Press. This book was released on 1996-04-11 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of selected contributions on recent results in nonlinear partial differential equations from participants to an international conference held in Fes, Morocco in 1994. The emphasis is on nonlinear elliptic boundary value problems, but there are also papers deveoted to related areas such as monotone operator theory, calculus of variations, Hamiltonian systems and periodic solutions. Some of the papers are exhaustive surveys, while others contain new results,published here for the first time. This book will be of particular interest to graduate or postgraduate students as well as to specialists in these areas.
Download or read book Solution Sets of Differential Equations in Abstract Spaces written by Robert Dragoni and published by CRC Press. This book was released on 1996-04-03 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents results on the geometric/topological structure of the solution set S of an initial-value problem x(t) = f(t, x(t)), x(0) =xo, when f is a continuous function with values in an infinite-dimensional space. A comprehensive survey of existence results and the properties of S, e.g. when S is a connected set, a retract, an acyclic set, is presented. The authors also survey results onthe properties of S for initial-value problems involving differential inclusions, and for boundary-value problems. This book will be of particular interest to researchers in ordinary and partial differential equations and some workers in control theory.
Download or read book Developments in Nonstandard Mathematics written by Nigel J Cutland and published by CRC Press. This book was released on 2020-01-30 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains expository papers and articles reporting on recent research by leading world experts in nonstandard mathematics, arising from the International Colloquium on Nonstandard Mathematics held at the University of Aveiro, Portugal in July 1994. Nonstandard mathematics originated with Abraham Robinson, and the body of ideas that have developed from this theory of nonstandard analysis now vastly extends Robinson's work with infinitesimals. The range of applications includes measure and probability theory, stochastic analysis, differential equations, generalised functions, mathematical physics and differential geometry, moreover, the theory has implicaitons for the teaching of calculus and analysis. This volume contains papers touching on all of the abovbe topics, as well as a biographical note about Abraham Robinson based on the opening address given by W.A>J> Luxemburg - who knew Robinson - to the Aveiro conference which marked the 20th anniversary of Robinson's death. This book will be of particular interest to students and researchers in nonstandard analysis, measure theory, generalised functions and mathematical physics.
Download or read book Nonlinear Dynamics and Pattern Formation in the Natural Environment written by A. Van Harten and published by Taylor & Francis. This book was released on 2022-09-16 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note aims to provide an insight into recent developments in the theory of pattern formation. In the last decade there has been considerable progress in this field, both from a theoretical and a practical point of view. Recent mathematical developments concern the study of the nonlinear stability of systems at near-critical conditions by an appropriate system of modulation equations. The complexity of the original problem can be reduced drastically by this approximation. Moreover, it provides unifying point of view for a wide range of problems. New applications of the theory arise in a multitude of scientific areas such as hydrodynamics, reaction-diffusion problems, oceanography, meteorology, combustion, geophysical and biological morphodynamics and semi-conductors.This book is intended to show the interactions between the mathematical theory of nonlinear dynamics and the study of pattern generating phenomena in the natural environment. There is an intimate relationship between new insights in the mathematical aspects of nonlinear pattern formation and the comprehension of such phenomena. Therefore there are two partly overlapping main themes: one in which the emphasis is on generally applicable mathematical theories and techniques and one in which the phenomenology of pattern evolution in various areas is discussed.The book comprises 19 contributions by experts in the field. Although the emphasis changes considerably from paper to paper, in each contribution the same two themes are present; all the authors have aimed to achieve a suitable balance between the mathematical theory and the physical phenomena.
Download or read book Semigroups of Operators and Spectral Theory written by S Kantorovitz and published by CRC Press. This book was released on 1995-06-19 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some aspects of the theory of semigroups of operators, mostly from the point of view of its interaction withspectral theory. In order to make it self-contained, a concise description of the basic theory of semigroups, with complete proofs, is included in Part I. Some of the author's recent results, such as the construction of the Hille-Yosida space for general operators, the semi-simplicity manifold, and a Taylor formula for semigroups as functions of their generator, are also included in Part I. Part II describes recent generalizations (most of them in bookform for the first time), including pre-semigroups, semi-simplicity manifolds in situations more general than that considered in Part I, semigroups of unbounded symmetric operators, and an analogous result on "local cosine families" and semi-analytic vectors. It is hoped that this book will inspire more research in this field. This book will be of particular interest to graduate students and researchers working operator theory and its applications.
Download or read book Metrizable Barrelled Spaces written by J C Ferrando and published by CRC Press. This book was released on 1995-09-28 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text draws together a number of recent results concerning barrelled locally convex spaces, from general facts involving cardinality and dimensionality to barrelledness of some familiar vector-valued or scalar-valued normed spaces of functional analysis, and providing a study of some of these spaces. Throughout the exposition, the authors show the strong relationship between barrelledness properties and vector-valued measure theory.
Download or read book Hyperbolic Sets Shadowing and Persistence for Noninvertible Mappings in Banach Spaces written by Bernard Lani-Wayda and published by CRC Press. This book was released on 2022-09-16 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text gives a self-contained and detailed treatment of presently known results, and new theorems on hyperbolicity, shadowing, complicated motion, and robustness. The book is intended to provide a dependable reference for researchers wishing to apply such results. This book will be of particular interest to researchers and students interested in dynamical systems, particularly in noninvertible maps and infinite dimensional semi-flows or maps and global analysis.
