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500 Examples and Problems of Applied Differential Equations

  • Ravi P. Agarwal
  • Simona Hodis
  • Donal O’Regan

Part of the Problem Books in Mathematics book series (PBM)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Ravi P. Agarwal, Simona Hodis, Donal O’Regan
    Pages 1-19
  3. Ravi P. Agarwal, Simona Hodis, Donal O’Regan
    Pages 21-45
  4. Ravi P. Agarwal, Simona Hodis, Donal O’Regan
    Pages 47-84
  5. Ravi P. Agarwal, Simona Hodis, Donal O’Regan
    Pages 85-114
  6. Ravi P. Agarwal, Simona Hodis, Donal O’Regan
    Pages 115-161
  7. Ravi P. Agarwal, Simona Hodis, Donal O’Regan
    Pages 163-182
  8. Ravi P. Agarwal, Simona Hodis, Donal O’Regan
    Pages 183-220
  9. Ravi P. Agarwal, Simona Hodis, Donal O’Regan
    Pages 221-291
  10. Ravi P. Agarwal, Simona Hodis, Donal O’Regan
    Pages 293-378
  11. Back Matter
    Pages 379-388

About this book

Introduction

This book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. The problems and examples presented here touch on key topics in the discipline, including first order (linear and nonlinear) differential equations, second (and higher) order differential equations, first order differential systems, the Runge–Kutta method, and nonlinear boundary value problems. Applications include growth of bacterial colonies, commodity prices, suspension bridges, spreading rumors, modeling the shape of a tsunami, planetary motion, quantum mechanics, circulation of blood in blood vessels, price-demand-supply relations, predator-prey relations, and many more.

Upper undergraduate and graduate students in Mathematics, Physics and Engineering will find this volume particularly useful, both for independent study and as supplementary reading. While many problems can be solved at the undergraduate level, a number of challenging real-life applications have also been included as a way to motivate further research in this vast and fascinating field.


Keywords

first order linear differential equations second and higher order differential equations first order nonlinear differential equations power series solutions first order differential systems numerical methods stability theory linear boundary value problems nonlinear boundary value problems Runge–Kutta method Fourier method

Authors and affiliations

  • Ravi P. Agarwal
    • 1
  • Simona Hodis
    • 2
  • Donal O’Regan
    • 3
  1. 1.Department of MathematicsTexas A&M University–KingsvilleKingsvilleUSA
  2. 2.Department of MathematicsTexas A&M University–KingsvilleKingsvilleUSA
  3. 3.Department of MathematicsNational University of IrelandGalwayIreland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-26384-3
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-26383-6
  • Online ISBN 978-3-030-26384-3
  • Series Print ISSN 0941-3502
  • Series Online ISSN 2197-8506
  • Buy this book on publisher's site
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