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Protecting and Preserving Our Heritage PDF Download

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Linear Differential Operators

Linear Differential Operators PDF Author: Cornelius Lanczos
Publisher: Martino Fine Books
ISBN: 9781614273028
Category : Mathematics
Languages : en
Pages : 582

Book Description
2012 Reprint of 1961 Edition. Exact facsimile of the original edition, not reproduced with Optical Recognition Software. Don't let the title fool you! If you are interested in numerical analysis, applied mathematics, or the solution procedures for differential equations, you will find this book useful. Because of Lanczos' unique style of describing mathematical facts in nonmathematical language, "Linear Differential Operators" also will be helpful to non-mathematicians interested in applying the methods and techniques described. Originally published in 1961, this Classics edition continues to be appealing because it describes a large number of techniques still useful today. Although the primary focus is on the analytical theory, concrete cases are cited to forge the link between theory and practice. Considerable manipulative skill in the practice of differential equations is to be developed by solving the 350 problems in the text. The problems are intended as stimulating corollaries linking theory with application and providing the reader with the foundation for tackling more difficult problems.

Linear Differential Operators

Linear Differential Operators PDF Author: Cornelius Lanczos
Publisher: Courier Corporation
ISBN: 9780486680354
Category : Mathematics
Languages : en
Pages : 604

Book Description
The basic and characteristic properties of linear differential operators are explored in this graduate-level text. No specific knowledge beyond the usual introductory courses is necessary. Includes 350 problems and solution.

Spectral Theory of Linear Differential Operators and Comparison Algebras

Spectral Theory of Linear Differential Operators and Comparison Algebras PDF Author: Heinz Otto Cordes
Publisher: Cambridge University Press
ISBN: 0521284430
Category : Mathematics
Languages : en
Pages : 357

Book Description
The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators. The first part of the book develops the necessary elements of the spectral theory of differential operators as well as the basic properties of elliptic second order differential operators. The author then introduces comparison algebras and describes their theory in L2-spaces and L2-Soboler spaces, and in particular their importance in solving functional analytic problems involving differential operators. The book is based on lectures given in Sweden and the USA.

Half-Linear Differential Equations

Half-Linear Differential Equations PDF Author: Ondrej Dosly
Publisher: Elsevier
ISBN: 9780080461236
Category : Mathematics
Languages : en
Pages : 532

Book Description
The book presents a systematic and compact treatment of the qualitative theory of half-linear differential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contains a treatment of related topics like PDE’s with p-Laplacian, half-linear difference equations and various more general nonlinear differential equations. - The first complete treatment of the qualitative theory of half-linear differential equations. - Comparison of linear and half-linear theory. - Systematic approach to half-linear oscillation and asymptotic theory. - Comprehensive bibliography and index. - Useful as a reference book in the topic.

Non-Linear Differential Equations

Non-Linear Differential Equations PDF Author: Frankie Murray &
Publisher: Scientific e-Resources
ISBN: 183947324X
Category :
Languages : en
Pages : 320

Book Description
Regarding the matter of differential equations a considerable number of rudimentary books have been composed. This book overcomes any issues between rudimentary courses and the examination writing. The essential ideas important to contemplate differential equations - basic focuses and balance, occasional arrangements, invariant sets and invariant manifolds - are examined. Security hypothesis is created beginning with linearisation methods backpedaling to Lyapunov and Poincare. The global direct method is then examined. To acquire more quantitative data the Poincare-Lindstedt method is acquainted with estimated occasional arrangements while in the meantime demonstrating presence by the certain capacity hypothesis. The method of averaging is presented as a general estimation standardization method. The last four sections acquaint the peruser with unwinding motions, bifurcation hypothesis, focus manifolds, disarray in mappings and differential equations, Hamiltonian frameworks (repeat, invariant tori, intermittent arrangements). The book displays the subject material from both the subjective and the quantitative perspective. There are numerous cases to delineate the hypothesis and the peruser ought to have the capacity to begin doing research in the wake of concentrate this book.

Loewy Decomposition of Linear Differential Equations

Loewy Decomposition of Linear Differential Equations PDF Author: Fritz Schwarz
Publisher: Springer Science & Business Media
ISBN: 3709112850
Category : Computers
Languages : en
Pages : 238

Book Description
The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations.

Linear Partial Differential Operators in Gevrey Spaces

Linear Partial Differential Operators in Gevrey Spaces PDF Author: Luigi Rodino
Publisher: World Scientific
ISBN: 9789810208455
Category : Mathematics
Languages : en
Pages : 272

Book Description
The book is devoted to new and classical results of the theory of linear partial differential operators in Gevrey spaces. The ?microlocal approach? is adopted, by using pseudo-differential operators, wave front sets and Fourier integral operators.Basic results for Schwartz-distributions, cì and analytic classes are also included, concerning hypoellipticity, solvability and propagation of singularities.Also included is a self-contained exposition of the calculus of the pseudo-differential operators of infinite order.

Contact Geometry and Linear Differential Equations

Contact Geometry and Linear Differential Equations PDF Author: V. E. Nazaĭkinskiĭ
Publisher: Walter de Gruyter
ISBN: 9783110133813
Category : Mathematics
Languages : en
Pages : 232

Book Description
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Differential Equations: A Dynamical Systems Approach

Differential Equations: A Dynamical Systems Approach PDF Author: John H. Hubbard
Publisher: Springer Science & Business Media
ISBN: 9780387943770
Category : Mathematics
Languages : en
Pages : 622

Book Description
This is a continuation of the subject matter discussed in the first book, with an emphasis on systems of ordinary differential equations and will be most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as in the life sciences, physics, and economics. After an introduction, there follow chapters on systems of differential equations, of linear differential equations, and of nonlinear differential equations. The book continues with structural stability, bifurcations, and an appendix on linear algebra. The whole is rounded off with an appendix containing important theorems from parts I and II, as well as answers to selected problems.

Green's Functions and Linear Differential Equations

Green's Functions and Linear Differential Equations PDF Author: Prem K. Kythe
Publisher: CRC Press
ISBN: 1439840091
Category : Mathematics
Languages : en
Pages : 382

Book Description
Green's Functions and Linear Differential Equations: Theory, Applications, and Computation presents a variety of methods to solve linear ordinary differential equations (ODEs) and partial differential equations (PDEs). The text provides a sufficient theoretical basis to understand Green's function method, which is used to solve initial and boundary