The Eigenvalue Problem for a Non-self-adjoint Differential Operator on the Interval [pi] PDF Download
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![The Eigenvalue Problem for a Non-self-adjoint Differential Operator on the Interval [pi] PDF](https://books.google.com/books/content/images/frontcover/pB2nNwAACAAJ?fife=w150-h200)
Author: Robert Richard Dingle Kemp
Publisher:
ISBN:
Category :
Languages : en
Pages : 88
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Book Description
![The Eigenvalue Problem for a Non-self-adjoint Differential Operator on the Interval [pi] PDF](https://books.google.com/books/content/images/frontcover/pB2nNwAACAAJ?fife=w80-h100)
Author: Robert Richard Dingle Kemp
Publisher:
ISBN:
Category :
Languages : en
Pages : 88
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Book Description
Author: Johannes Sjöstrand
Publisher: Springer
ISBN: 3030108198
Category : Mathematics
Languages : en
Pages : 496
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Book Description
The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago. In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book. Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.
Author: John E. Osborn
Publisher:
ISBN:
Category : Differential operators
Languages : en
Pages : 196
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Book Description
Author: V.A. Il'in
Publisher: Springer Science & Business Media
ISBN: 1461517559
Category : Mathematics
Languages : en
Pages : 403
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Book Description
In this fully-illustrated textbook, the author examines the spectral theory of self-adjoint elliptic operators. Chapters focus on the problems of convergence and summability of spectral decompositions about the fundamental functions of elliptic operators of the second order. The author's work offers a novel method for estimation of the remainder term of a spectral function and its Riesz means without recourse to the traditional Carleman technique and Tauberian theorem apparatus.
Author: Cornelius Lanczos
Publisher: Courier Corporation
ISBN: 9780486680354
Category : Mathematics
Languages : en
Pages : 604
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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.
Author: S. PUSHPAVANAM
Publisher: PHI Learning Pvt. Ltd.
ISBN: 9788120312623
Category : Science
Languages : en
Pages : 340
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Book Description
This comprehensive, well organized and easy to read book presents concepts in a unified framework to establish a similarity in the methods of solutions and analysis of such diverse systems as algebraic equations, ordinary differential equations and partial differential equations. The distin-guishing feature of the book is the clear focus on analytical methods of solving equations. The text explains how the methods meant to elucidate linear problems can be extended to analyse nonlinear problems. The book also discusses in detail modern concepts like bifurcation theory and chaos.To attract engineering students to applied mathematics, the author explains the concepts in a clear, concise and straightforward manner, with the help of examples and analysis. The significance of analytical methods and concepts for the engineer/scientist interested in numerical applications is clearly brought out.Intended as a textbook for the postgraduate students in engineering, the book could also be of great help to the research students.
Author: Mark Aronovich Naĭmark
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 168
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Book Description
Author: Paul M. Kulesa
Publisher:
ISBN:
Category :
Languages : en
Pages : 62
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Book Description
Author: Vladimir Dobrushkin
Publisher: CRC Press
ISBN: 1498733689
Category : Mathematics
Languages : en
Pages : 699
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Book Description
Applied Differential Equations with Boundary Value Problems presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences. This new edition of the author’s popular textbook adds coverage of boundary value problems. The text covers traditional material, along with novel approaches to mathematical modeling that harness the capabilities of numerical algorithms and popular computer software packages. It contains practical techniques for solving the equations as well as corresponding codes for numerical solvers. Many examples and exercises help students master effective solution techniques, including reliable numerical approximations. This book describes differential equations in the context of applications and presents the main techniques needed for modeling and systems analysis. It teaches students how to formulate a mathematical model, solve differential equations analytically and numerically, analyze them qualitatively, and interpret the results.
Author: W. Cox
Publisher: Butterworth-Heinemann
ISBN: 0340632038
Category : Mathematics
Languages : en
Pages : 237
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Book Description
This text provides a sound foundation in the underlying principles of ordinary differential equations. Important concepts are worked through in detail and the student is encouraged to develop much of the routine material themselves.
