Boundary Value Problems For Analytic Functions
eBook - PDF

Boundary Value Problems For Analytic Functions

  1. 480 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Boundary Value Problems For Analytic Functions

Book details
Table of contents
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About This Book

This book deals with boundary value problems for analytic functions with applications to singular integral equations. New and simpler proofs of certain classical results such as the Plemelj formula, the Privalov theorem and the Poincaré-Bertrand formula are given. Nearly one third of this book contains the author's original works, most of which have not been published in English before and, hence, were previously unknown to most readers in the world.It consists of 7 chapters together with an appendix: Chapter I describes the basic knowledge on Cauchy-type integrals and Cauchy principal value integrals; Chapters II and III study, respectively, fundamental boundary value problems and their applications to singular integral equations for closed contours; Chapters IV and V discuss the same problems for curves with nodes (including open arcs); Chaper VI deals with similar problems for systems of functions; Chapter VII is concerned with some miscellaneous problems and the Appendix contains some basic results on Fredholm integral equations. In most sections, there are carefully selected sets of exercises, some of which supplement the text of the sections; answers/hints are also given for some of these exercises.For graduate students or seniors, all the 7 chapters can be used for a full year course, while the first 3 chapters may be used for a one-semester course.

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Yes, you can access Boundary Value Problems For Analytic Functions by Jian-ke Lu in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Publisher
World Scientific
Year
1994
ISBN
9789814439763
Topic
Mathematics
Subtopic
Differential Equations
Index
Mathematics

Table of contents

  1. PREFACE
  2. CONTENTS
  3. Chapter I CAUCHY-TYPE INTEGRALS
  4. Chapter II FUNDAMENTAL BOUNDARY VALUE PROBLEMS FOR CLOSED CONTOURS
  5. Chapter III SINGULAR INTEGRAL EQUATIONS IN CASE OF CLOSED CONTOURS
  6. Chapter IV BOUNDARY VALUE PROBLEMS IN GENERAL CASE
  7. Chapter V SINGULAR INTEGRAL EQUATIONS IN GENERAL CASE
  8. Chapter VI BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF FUNCTIONS AND SYSTEMS OF SINGULAR INTEGRAL EQUATIONS
  9. Chapter VII MISCELLANEOUS PROBLEMS
  10. APPENDIX SOME RESULTS ON FREDHOLM INTEGRAL EQUATIONS
  11. BIBLIOGRAPHY
  12. INDEX