Fundamentals of differential equations and boundary value problems

書誌事項

Fundamentals of differential equations and boundary value problems

R. Kent Nagle & Edward B. Saff ; with contributions by A.D. Snider

Addison-Wesley, c1996

2nd ed

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This text spans a variety of topics in the basic theory, as well as applications, of differential equations. An additional three chapters to this version cover and build on boundary value problems.

目次

  • First order differential equations
  • mathematical models and numerical methods involving first order equations
  • linear second order equations
  • applications and numerical methods for second order equations and systems
  • theory of high order linear differential equations
  • laplace transforms
  • series solution of differential equations
  • matrix methods for linear systems
  • partial differential equations
  • eigenvalue problems and Sturm-Liouville equations
  • stability of autonomous systems
  • existence and uniqueness theory.

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