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A Class of Singularly Perturbed Boundary Value Problems Arising from Catalytic Reactions

A Class of Singularly Perturbed Boundary Value Problems Arising from Catalytic Reactions
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摘要 A class of singularly perturbed boundary value problems arising from the catalytic reactions in chemical engineering is observed. That kind of p roblems exhibits the behavior of nonexponentially decayed boundary layer, and he nce the study of asymptotic behavior of their solutions seems more diffcult. The uniformly valid asymptotic expansions of solutions as well as their derivatives are given via the upper and lower solutions method, and those estimates seem qu ite accurate. A class of singularly perturbed boundary value problems arising from the catalytic reactions in chemical engineering is observed. That kind of p roblems exhibits the behavior of nonexponentially decayed boundary layer, and he nce the study of asymptotic behavior of their solutions seems more diffcult. The uniformly valid asymptotic expansions of solutions as well as their derivatives are given via the upper and lower solutions method, and those estimates seem qu ite accurate.
作者 史少云
出处 《Northeastern Mathematical Journal》 CSCD 2000年第3期367-372,共6页 东北数学(英文版)
关键词 Singularly perturbed boundary value problem nonexponentially decayed boundary layer upper and lower solutions method Singularly perturbed boundary value problem, nonexponentially decayed boundary layer, upper and lower solutions method
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参考文献2

  • 1P. N. Müller,K. -D. Reinsch,R. Bulirsch.On the complete solution of ∈y″=y 3[J].Journal of Optimization Theory and Applications.1994(2)
  • 2S. M. Roberts.On the solution of εy″=y 3[J].Journal of Optimization Theory and Applications.1986(3)

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