Yosida K. Lectures on differential and integral equations

Interscience Publishers, 1960. — 230 p. — (Pure and Applied Mathematics, Vol. X). — ISBN 0-4866-6679-4, 978-0-4866-6679-2.Lucid, self-contained exposition of the theory of ordinary differential equations and integral equations. Especially detailed treatment of the boundary value problem of second order linear ordinary differential equations. Other topics include Fredholm integral equations, Volterra integral equations, much more.
The present book is the English edition of my book published originally, in Japanese, by the Iwanami Shoten in the series "Iwanami Zensho." It was intended to be a self-contained exposition of the theory of ordinary differential equations and integral equations. It especially gives a fairly detailed treatment of the boundary value problem of second order linear ordinary differential equations, and includes an elementary exposition of the theory of Weyl-Stone's eigenfunction expansions in the form completed by Titchmarsh-Kodaira's formula concerning the density matrix of the expansion.
The author wishes to express his sincere thanks to Professor Shigeharu Harada of Chiba Institute of Technology for his time and effort in preparing the English translation of this book, and to Professor Lipman Bers of New York University for his kind suggestion to include this book in his series.Файл: отскан. стр. (b/w 600 dpi) + OCR