Ordinary Differential Equations in Rn

Problems and Methods

  • L. C. Piccinini
  • G. Stampacchia
  • G. Vidossich

Part of the Applied Mathematical Sciences book series (AMS, volume 39)

Table of contents

  1. Front Matter
    Pages i-xii
  2. L. C. Piccinini, G. Stampacchia, G. Vidossich
    Pages 1-78
  3. L. C. Piccinini, G. Stampacchia, G. Vidossich
    Pages 79-131
  4. L. C. Piccinini, G. Stampacchia, G. Vidossich
    Pages 132-206
  5. L. C. Piccinini, G. Stampacchia, G. Vidossich
    Pages 207-310
  6. L. C. Piccinini, G. Stampacchia, G. Vidossich
    Pages 311-381
  7. Back Matter
    Pages 382-385

About this book

Introduction

During the fifties, one of the authors, G. Stampacchia, had prepared some lecture notes on ordinary differential equations for a course in ad­ analysis. These remained for a long time unused because he was no vanced longer very interested in the study of such equations. We now see, though, that numerous applications to biology, chemistry, economics, and medicine have recently been added to the traditional ones in mechanics; also, there has been in these last years a reemergence of interest in nonlinear analy­ sis, of which the theory of ordinary differential euqations is one of the principal sources of methods and problems. Hence the idea to write a book. Our text, based on the old notes and experience gained in many courses, seminars, and conferences, both in Italy and abroad, aims to give a simple and rapid introduction to the various themes, problems, and methods of the theory of ordinary differential equations. The book has been conceived in such a way so that even the reader who has merely had a first course in calculus may be able to study it and to obtain a panoramic vision of the theory. We have tried to avoid abstract formalism, preferring instead a discursive style, which should make the book accessible to engineers and physicists without specific preparation in modern mathematics. For students of mathematics, it pro­ vides motivation for the subject of more advanced analysis courses.

Keywords

Boundary value problem Eigenvalue Equations Gewöhnliche Differentialgleichung calculus compactness differential equation logarithm maximum minimum

Authors and affiliations

  • L. C. Piccinini
    • 1
  • G. Stampacchia
    • 2
  • G. Vidossich
    • 3
  1. 1.Istituto di Matematica Informatica e SistemisticaUniversità di UdineUdineItaly
  2. 2.Formerly of Scuola Normale SuperiorePisaItaly
  3. 3.Scuola Internazionale Superiore di Studi AvanzatiTriesteItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-5188-0
  • Copyright Information Springer-Verlag New York 1984
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90723-9
  • Online ISBN 978-1-4612-5188-0
  • Series Print ISSN 0066-5452
  • About this book