JIANG Fu-ru. On the Asymptotic Solutions of Boundary Value Problems for a Class of Systems of Nonlinear Differential Equations(Ⅰ)[J]. Applied Mathematics and Mechanics, 2001, 22(3): 239-249.
Citation: JIANG Fu-ru. On the Asymptotic Solutions of Boundary Value Problems for a Class of Systems of Nonlinear Differential Equations(Ⅰ)[J]. Applied Mathematics and Mechanics, 2001, 22(3): 239-249.

On the Asymptotic Solutions of Boundary Value Problems for a Class of Systems of Nonlinear Differential Equations(Ⅰ)

  • Received Date: 2000-03-21
  • Rev Recd Date: 2000-09-23
  • Publish Date: 2001-03-15
  • A new method is applied to study the asymptotic behavior of solutions of boundnary value problems for a class of systems of nonlinear differential equations u"=v,εv"+f(x,u,u')v'-g(x,u,u')v=0(0<ε≤1).The asymptotic expansions of solutions are constructed,the remainders are estimated.The former works are improved and generalized.
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