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The Cauchy Problem For Partial Differential Equations Of The Second Order And The Method Of Ascent
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Book Synopsis The Cauchy Problem for Partial Differential Equations of the Second Order and the Method of Ascent by : Florent J. Bureau
Download or read book The Cauchy Problem for Partial Differential Equations of the Second Order and the Method of Ascent written by Florent J. Bureau and published by . This book was released on 1961 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method of ascent is used to solve the Cauchy problem for linear partial differential equations of the second order in p space variables with constant coefficients i.e., the pure wave equation, the damped wave equation, and the heat equation. This method consists of inferring the solution of the problem referred to from the well known solution of the same problem for one space variable. The commutability of repeated pf integral, the solution deduced by the method of singularities for the Cauchy problem for the damped wave equation, and the solution of singular integral equations of the Volterra type are also considered. (Author).
Book Synopsis The Cauchy Problem for Partial Differential Equations of the Second Order and the Method of Ascent by : Florent J. Bureau
Download or read book The Cauchy Problem for Partial Differential Equations of the Second Order and the Method of Ascent written by Florent J. Bureau and published by . This book was released on 1961 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytic Theory of Differential Equations by : P. F. Hsieh
Download or read book Analytic Theory of Differential Equations written by P. F. Hsieh and published by Springer. This book was released on 2006-11-15 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis U.S. Government Research Reports by :
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1961 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Technical Abstract Bulletin by : Defense Documentation Center (U.S.)
Download or read book Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and published by . This book was released on 1961-10 with total page 1540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Cauchy's Problem in Linear Partial Differential Equations by : Jacques Hadamard
Download or read book Lectures on Cauchy's Problem in Linear Partial Differential Equations written by Jacques Hadamard and published by . This book was released on 1923 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Societatea de Științe Matematice din Republica Socialistă România Publisher : ISBN 13 : Total Pages :472 pages Book Rating :4.3/5 (91 download)
Book Synopsis Bulletin mathématique de la Société des sciences mathématiques de la République socialiste de Roumanie by : Societatea de Științe Matematice din Republica Socialistă România
Download or read book Bulletin mathématique de la Société des sciences mathématiques de la République socialiste de Roumanie written by Societatea de Științe Matematice din Republica Socialistă România and published by . This book was released on 1981 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bulletin mathématique de la Société des sciences mathématiques de la République Socialiste de Roumanie by :
Download or read book Bulletin mathématique de la Société des sciences mathématiques de la République Socialiste de Roumanie written by and published by . This book was released on 1981 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis OAR Quarterly Index of Current Research Results by : United States. Air Force. Office of Aerospace Research
Download or read book OAR Quarterly Index of Current Research Results written by United States. Air Force. Office of Aerospace Research and published by . This book was released on 1959 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis OAR Cumulative Index of Research Results by :
Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Abstract Volterra Integro-Differential Equations by : Marko Kostic
Download or read book Abstract Volterra Integro-Differential Equations written by Marko Kostic and published by CRC Press. This book was released on 2015-05-06 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of linear Volterra integro-differential equations has been developing rapidly in the last three decades. This book provides an easy to read concise introduction to the theory of ill-posed abstract Volterra integro-differential equations. A major part of the research is devoted to the study of various types of abstract (multi-term) fracti
Book Synopsis The Cauchy Problem for Higher Order Abstract Differential Equations by : Ti-Jun Xiao
Download or read book The Cauchy Problem for Higher Order Abstract Differential Equations written by Ti-Jun Xiao and published by Springer. This book was released on 2013-12-11 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to present the basic theory and some recent de velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0, { U(k)(O) = Uk, 0 ~ k ~ n-l. where AQ, Ab . . . , A - are linear operators in a topological vector space E. n 1 Many problems in nature can be modeled as (ACP ). For example, many n initial value or initial-boundary value problems for partial differential equations, stemmed from mechanics, physics, engineering, control theory, etc. , can be trans lated into this form by regarding the partial differential operators in the space variables as operators Ai (0 ~ i ~ n - 1) in some function space E and letting the boundary conditions (if any) be absorbed into the definition of the space E or of the domain of Ai (this idea of treating initial value or initial-boundary value problems was discovered independently by E. Hille and K. Yosida in the forties). The theory of (ACP ) is closely connected with many other branches of n mathematics. Therefore, the study of (ACPn) is important for both theoretical investigations and practical applications. Over the past half a century, (ACP ) has been studied extensively.
Book Synopsis The National Union Catalogs, 1963- by :
Download or read book The National Union Catalogs, 1963- written by and published by . This book was released on 1964 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Vector-valued Laplace Transforms and Cauchy Problems by : Wolfgang Arendt
Download or read book Vector-valued Laplace Transforms and Cauchy Problems written by Wolfgang Arendt and published by Springer Science & Business Media. This book was released on 2011-04-05 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis. The second edition contains detailed notes on the developments in the last decade. They include, for instance, a new characterization of well-posedness of abstract wave equations in Hilbert space due to M. Crouzeix. Moreover new quantitative results on asymptotic behaviour of Laplace transforms have been added. The references are updated and some errors have been corrected.
Book Synopsis Analytic Theory of Differential Equations by : Po-Fang Hsieh
Download or read book Analytic Theory of Differential Equations written by Po-Fang Hsieh and published by . This book was released on 1971 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential Equations by : Lipman Bers
Download or read book Partial Differential Equations written by Lipman Bers and published by American Mathematical Soc.. This book was released on 1964-12-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of two main parts. The first part, "Hyperbolic and Parabolic Equations", written by F. John, contains a well-chosen assortment of material intended to give an understanding of some problems and techniques involving hyperbolic and parabolic equations. The emphasis is on illustrating the subject without attempting to survey it. The point of view is classical, and this serves well in furnishing insight into the subject; it also makes it possible for the lectures to be read by someone familiar with only the fundamentals of real and complex analysis. The second part, "Elliptic Equations", written by L. Bers and M. Schechter, contains a very readable account of the results and methods of the theory of linear elliptic equations, including the maximum principle, Hilbert-space methods, and potential-theoretic methods. It also contains a brief discussion of some quasi-linear elliptic equations. The book is suitable for graduate students and researchers interested in partial differential equations.
Book Synopsis Separable Algebras Over Commutative Rings by : Frank DeMeyer
Download or read book Separable Algebras Over Commutative Rings written by Frank DeMeyer and published by Springer. This book was released on 1971 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes were prepared by the authors for use in graduate courses and seminars, based on the work of many earlier mathematicians. In addition to very elementary results, presented for the convenience of the reader, Chapter I contains the Morita theorems and the definition of the projective class group of a commutative ring. Chapter II addresses the Brauer group of a commutative ring, and automorphisms of separable algebras. Chapter III surveys the principal theorems of the Galois theory for commutative rings. In Chapter IV the authors present a direct derivation of the first six terms of the seven-term exact sequence for Galois cohomology. In the fifth and final chapter the authors illustrate the preceding material with applications to the structure of central simple algebras and the Brauer group of a Dedekind domain, and they pose problems for further investigation. Exercises are included at the end of each chapter.
