数学季刊 ›› 2003, Vol. 18 ›› Issue (1): 38-43.

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奇摄动非线性边值问题

  

  1. Department of Mathematics,Anhui Normal University,Wuhu 241000,China
  • 收稿日期:2001-10-09 出版日期:2003-03-30 发布日期:2024-04-22
  • 作者简介:GE Hong-xia(1977-),female ,native of Feidong ,Anhui ,post graduate ,engages in singular perturbation the- ory .
  • 基金资助:
    Supported by the National Natural Science Foundation of China(10071048)

Singularly Perturbed Nonlinear Boundary Value Problems

  1. Department of Mathematics,Anhui Normal University,Wuhu 241000,China
  • Received:2001-10-09 Online:2003-03-30 Published:2024-04-22
  • About author:GE Hong-xia(1977-),female ,native of Feidong ,Anhui ,post graduate ,engages in singular perturbation the- ory .
  • Supported by:
    Supported by the National Natural Science Foundation of China(10071048)

摘要: In this paper ,a class of singularly perturbed Volterra type of integral differential equations nonlinear boundary value problems are discussed.Under the proper assumptions ,using the method of composite expand and the theory of differential inequalities ,the existence and any order approximation of the solution are obtained .

关键词: singular perturbation, integral differential equation, differential inequalities

Abstract: In this paper ,a class of singularly perturbed Volterra type of integral differential equations nonlinear boundary value problems are discussed.Under the proper assumptions ,using the method of composite expand and the theory of differential inequalities ,the existence and any order approximation of the solution are obtained .

Key words: singular perturbation, integral differential equation, differential inequalities

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