Numerical-analytic methods in the theory of boundary-value problems

書誌事項

Numerical-analytic methods in the theory of boundary-value problems

M. Ronto, A.M. Samoilenko

World Scientific, c2000

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注記

Includes bibliographical references

内容説明・目次

内容説明

This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs). The methods under consideration provide an opportunity to solve the two important problems of the BVP theory — namely, to establish existence theorems and to build approximation solutions. They can be used to investigate a wide variety of BVPs.The Appendix, written in collaboration with S I Trofimchuk, discusses the connection of the new method with the classical Cesari, Cesari-Hale and Lyapunov-Schmidt methods.

目次

  • Numerical-analytic method of successive approximations for two-point boundary-value problems
  • modification of the numerical-analytic method for two-point boundary-value problems
  • numerical-analyic method for boundary-value problems with parameters in boundary conditions
  • collocation method for boundary-value problems with impulses
  • the theory of the numerical-analytic method
  • achievements and new trends of development.

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詳細情報

  • NII書誌ID(NCID)
    BA48106106
  • ISBN
    • 981023676X
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore ; River Edge, NJ
  • ページ数/冊数
    ix, 455 p.
  • 大きさ
    23 cm
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