Differential equations

書誌事項

Differential equations

Viorel Barbu

(Springer undergraduate mathematics series)

Springer, c2016

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注記

Includes bibliographical references (p. 219) and index

内容説明・目次

内容説明

This textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner. Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory. Particular attention is given to the existence and uniqueness of the Cauchy problem, linear differential systems, stability theory and applications to first-order partial differential equations. Upper undergraduate students and researchers in applied mathematics and systems theory with a background in advanced calculus will find this book particularly useful. Supplementary topics are covered in an appendix enabling the book to be completely self-contained.

目次

Introduction.- Existence and uniqueness for the Cauchy problem.- Systems of linear differential equations.- Stability theory.- Prime integrals and first-order partial differential equations.

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詳細情報

  • NII書誌ID(NCID)
    BB22604207
  • ISBN
    • 9783319452609
  • LCCN
    2016954710
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Switzerland
  • ページ数/冊数
    xi, 224 p.
  • 大きさ
    24 cm
  • 親書誌ID
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