2. First-Order Equations and Characteristics

  1. J. David Logan

Published Online: 29 OCT 2007

DOI: 10.1002/9780470287095.ch2

An Introduction to Nonlinear Differential Equations, Second Edition

An Introduction to Nonlinear Differential Equations, Second Edition

How to Cite

Logan, J. D. (2008) First-Order Equations and Characteristics, in An Introduction to Nonlinear Differential Equations, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470287095.ch2

Author Information

  1. Willa Cather Professor of Mathematics, University of Nebraska, Lincoln, Department of Mathematics, Lincoln, NE

Publication History

  1. Published Online: 29 OCT 2007
  2. Published Print: 28 MAR 2008

ISBN Information

Print ISBN: 9780470225950

Online ISBN: 9780470287095

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Keywords:

  • nonlinear equations;
  • wavefront expansions;
  • partial differential equations;
  • hyperbolic equations;
  • linear equations

Summary

This chapter contains sections titled:

  • Linear First-Order Equations

  • Nonlinear Equations

  • Quasilinear Equations

  • Propagation of Singularities

  • General First-Order Equation

  • A Uniqueness Result

  • Models in Biology