Skip to main content
  • Textbook
  • © 2014

A textbook on Ordinary Differential Equations

  • Application to applied sciences
  • Rich of exercises with a set of selected solutions
  • Concise, rigorous, clear in analyzing the solutions
  • Includes supplementary material: sn.pub/extras

Part of the book series: UNITEXT (UNITEXT, volume 73)

Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)

Buy it now

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv
  2. First order linear differential equations

    • Shair Ahmad, Antonio Ambrosetti
    Pages 1-14
  3. Theory of first order differential equations

    • Shair Ahmad, Antonio Ambrosetti
    Pages 15-34
  4. First order nonlinear differential equations

    • Shair Ahmad, Antonio Ambrosetti
    Pages 35-64
  5. Existence and uniqueness for systems and higher order equations

    • Shair Ahmad, Antonio Ambrosetti
    Pages 65-70
  6. Second order equations

    • Shair Ahmad, Antonio Ambrosetti
    Pages 71-112
  7. Higher order linear equations

    • Shair Ahmad, Antonio Ambrosetti
    Pages 113-122
  8. Systems of first order equations

    • Shair Ahmad, Antonio Ambrosetti
    Pages 123-154
  9. Sturm Liouville eigenvalue theory

    • Shair Ahmad, Antonio Ambrosetti
    Pages 173-182
  10. Solutions by infinite series and Bessel functions

    • Shair Ahmad, Antonio Ambrosetti
    Pages 183-205
  11. Laplace transform

    • Shair Ahmad, Antonio Ambrosetti
    Pages 207-232
  12. Stability theory

    • Shair Ahmad, Antonio Ambrosetti
    Pages 233-257
  13. Boundary value problems

    • Shair Ahmad, Antonio Ambrosetti
    Pages 259-276
  14. Errata

    • Shair Ahmad, Antonio Ambrosetti
    Pages E1-E5
  15. Back Matter

    Pages 277-312

About this book

The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The book contains many interesting examples as well (like the equations for the electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, and many other) which introduce the reader to some interesting aspects of the theory and its applications. The work is mainly addressed to students of Mathematics, Physics, Engineering, Statistics, Computer Sciences, with knowledge of Calculus and Linear Algebra, and contains more advanced topics for further developments, such as Laplace transform; Stability theory and existence of solutions to Boundary Value problems.

A complete Solutions Manual, containing solutions to all the exercises published in the book, is available. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors.

Reviews

From the book reviews:

“The authors include the expected topics (e.g., first-order linear differential equations, first-order nonlinear differential equations, and second-order equations) for a one-semester introductory course. In addition, they present material to move beyond the typical course work, e.g., chapters on stability theory and boundary value problems. … The textbook is very readable and can be used either in a classroom setting or for independent study. … Summing Up: Highly recommended. Lower- and upper-division undergraduates and faculty.” (S. L. Sullivan, Choice, Vol. 52 (1), September, 2014)

“This book is written as a primer for the theory and applications of ordinary differential equations (ODE). It consists of 13 chapters and an appendix. … This book provides a good introduction … to ODE’s for students in various fields.” (Ken-ichi Yoshihara, zbMATH, Vol. 1288, 2014)

Authors and Affiliations

  • Department of Mathematics, University of Texas at San Antonio, San Antonio, USA

    Shair Ahmad

  • SISSA, Trieste, Italy

    Antonio Ambrosetti

About the authors

Prof. Shair Ahmad is a professor of Mathematics at the University of Texas at San Antonio.

Prof. Antonio Ambrosetti is full professor of Mathematical Analysis at SISSA, Trieste, Italy.

Bibliographic Information

Buy it now

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access