Zhou Yali, You Zhefeng, Lin Zongchi. Singular Perturbation of General Boundary Value Problem for Nonlinear Differential Equation System[J]. Applied Mathematics and Mechanics, 1998, 19(6): 497-504.
 Citation: Zhou Yali, You Zhefeng, Lin Zongchi. Singular Perturbation of General Boundary Value Problem for Nonlinear Differential Equation System[J]. Applied Mathematics and Mechanics, 1998, 19(6): 497-504.

# Singular Perturbation of General Boundary Value Problem for Nonlinear Differential Equation System

• Publish Date: 1998-06-15
• In this paper, the singular perturbation of nonlinear differential equation system with nonlinear boundary conditions is discussed. Under suitable assumptions, with the asymptotic method of Lyusternik-Vishik[1] and fixed point theory, the existence of the solution of the perturbation problem is proved and its uniformly valid asymptotic expansion of higher order is derived.
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