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About this book :-
Lectures On Differential and Integral Equations written by Kosaku Yosida.
This book is an English edition of Japanese book by Iwanami Shoten in the series "Iwanami Zensho". Its is exposition of the theory of ordinary differential equaitons and integral equations. It is especially gives detailed treatement of the boundary value problem of second order linear ordinary differenital equations and elementry exposition of Weyl-Stone's eigenfunction expansions in the form completed by Titchmarsh Kodaira's formula concerning the density matrix expansion.
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. Bibliography.
Book Detail :-
Title: Lectures On Differential and Integral Equations
Author(s): Kosaku Yosida
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About Author :-
The Author Kosaku Yosida was a Japanese mathematician who worked in the field of functional analysis. He is known for the Hille-Yosida theorem concerning C0-semigroups. Yosida studied mathematics at the University of Tokyo, and held posts at Osaka and Nagoya Universities. In 1955, Yosida returned to the University of Tokyo.
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Book Contents :-
Lectures On Differential and Integral Equations written by Kosaku Yosida cover the following topics.
1. The Initial Value Problem for Ordinary Differential Equations
2. The Boundary Value Problem for Linear Differential Equations of Second Order
3. Fredholm Integral Equations
4. Volterra Integral Equations
5. The General Expnsion Theorem (Weyl-Stone-Titchmarsh-Kodiara's Theorem)
6. Non Linear Integral Equations
7. From the Theory of Functions of Complex Variable
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