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  • © 1984

Ordinary Differential Equations in Rn

Problems and Methods

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

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  • ISBN: 978-1-4612-5188-0
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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xii
  2. Existence and Uniqueness for the Initial Value Problem Under the Hypothesis of Lipschitz

    • L. C. Piccinini, G. Stampacchia, G. Vidossich
    Pages 1-78
  3. Linear Systems

    • L. C. Piccinini, G. Stampacchia, G. Vidossich
    Pages 79-131
  4. Existence and Uniqueness for the Cauchy Problem Under the Condition of Continuity

    • L. C. Piccinini, G. Stampacchia, G. Vidossich
    Pages 132-206
  5. Boundary Value Problems

    • L. C. Piccinini, G. Stampacchia, G. Vidossich
    Pages 207-310
  6. Questions of Stability

    • L. C. Piccinini, G. Stampacchia, G. Vidossich
    Pages 311-381
  7. Back Matter

    Pages 382-385

About this book

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

  • Istituto di Matematica Informatica e Sistemistica, Università di Udine, Udine, Italy

    L. C. Piccinini

  • Formerly of Scuola Normale Superiore, Pisa, Italy

    G. Stampacchia

  • Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy

    G. Vidossich

Bibliographic Information

  • Book Title: Ordinary Differential Equations in Rn

  • Book Subtitle: Problems and Methods

  • Authors: L. C. Piccinini, G. Stampacchia, G. Vidossich

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4612-5188-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1984

  • Softcover ISBN: 978-0-387-90723-9

  • eBook ISBN: 978-1-4612-5188-0

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: XII, 385

  • Additional Information: Title of the original Italian edition: Equazioni differenziali ordinarie in Rn

  • Topics: Analysis

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-1-4612-5188-0
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 139.99
Price excludes VAT (USA)