Discrete and Continuous Boundary Problems. [Mathematics in science and engineering Vol. 8]

Atkinson, F. V.

Published by Academic Press, New York London, 1964

Leinen Originalleineneinband mit Schutzumschlag. Der Fuschnitt ist leicht verstaubt, minimale Regalspuren am Fußschnitt. Der Schutzumschlag ist berieben, leicht verschmutzt, leicht randrissig. Fliegender Vorsatz mit Signatur (H. Beckert), Preface und Introduction mit ganz wenigen, dezenten Buntstiftanstreichungen, ansonsten sind die Seiten sauber und frisch mit allenfalls minimalen Gebrauchsspuren. Frederick Valentine Atkinson (25. Januar 1916 in Pinner (London Middlesex) - 13. November 2002 in Toronto, Kanada) war ein britischer Mathematiker. Er lehrte von 1960 bis 1981 an der University of Toronto. (Wikipedia) ?Discrete and continuous boundary problems? is devoted to the security of boundary problems in one dimension, also to ?ordinary? differential equations, their analogues, and extensions. The work first discusses recurrence relation theories concerning boundary problems and differential equations. Secondly, it explores theories of boundary problems for ordinary differential equations, with emphasis on cases in which coefficients are discontinuous or of singular delta-function type. Finally, relying mainly on the method of replacement by integral equations, the book provides an account of theories which unify topics in differential and difference equations. Problems rangering from elementary exercises - through general investigations - to research suggestions are given for each chapter. (Klappentext) Inhaltsübersicht: Boundary Problems for Rational Funtions - The Infinite Discrete Case - Discrete Linear Problems - Finite Orthogonal Polynomials - Orthogonal Polynomials The Infinite Case - Matrix Methods for Polynomials - Polynomials Orthogonal on the Unit Circle - Sturm-Liouville Theory - The General First-Order Differential System - Matrix Oscillation Theory - From Differential to Integral Equations - Asymptotic Theory of Some Integral Equations. Appendix I-VI: Some Compactness Principles for Stieltjes Integrals - Functions of Negative Imaginary Type - Orthogonality of Vectors - Some Stability Results for Linear Systems - Eigenvalues of Varying Matrices - Perturbation of Bases in Hilbert Space. Sprache / Language: en XIV + 570 Seiten. ca. 23,5 x 15,7 cm. Seller Inventory # KIE7377

Bibliographic Details

Title: Discrete and Continuous Boundary Problems. [...
Publisher: Academic Press, New York London
Publication Date: 1964
Condition: Gut