Lin Zong-chi, Lin Su-rong. Singularly Perturbed Phenomena of Semilinear Second Order Systems[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1065-1072.
Citation: Lin Zong-chi, Lin Su-rong. Singularly Perturbed Phenomena of Semilinear Second Order Systems[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1065-1072.

Singularly Perturbed Phenomena of Semilinear Second Order Systems

  • Received Date: 1987-07-20
  • Publish Date: 1988-12-15
  • In this paper we consider singular perturbed phenomena of semilinear second ordersystems, under appropriate assumptions, the existence and asymptotic behavior as ε→0+ of solution of vector boundary value problem are proved by constructing specialinvariant regions in which solutions display so-called boundary layer phenomena andangular layer phenomena.
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    章国华、林宗池,非线性边值的奇摄动,应用数学和力学,5, 5 (1984), 603-612.
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    Kelley, W.G., A nonllnear singular perturbation problem for second order systems, SIAM J. Math. Anal., 10, 1 (1979), 32-37.
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    O'Donnell, M.A., Boundary and corner layer behavior in singularly perturbed semilinear system of boundary value problem, SIAM, J. Math. Anal., 2 (1984).
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    Chang, K.W. and Lin Zong-chi, Singular perturbation for a class of semilinear second order systems with perturbation both in boundary and in operator, Acta Mathematica Scientia, 5, 2 (1985), 223-241.
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    Kelley, W.G., A geometric method of studying two point boundary value problems for second order systems, Rocky Mountain J. Math., 7 (1977), 251-263.
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