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Solution with Higher Order Approximations of the Singular Perturbation for Third-order Nonlinear Vector Differential Equations Boundary Value Problems

LIN Su-rong(Department of Computer,Fujian Radio and TV University,Fuzhou 350003,China)  
The singular perturbation of boundary value problem to a class of third-order nonlinear vector differential equations is studied.Under appropriate conditions,by using the boundary layer correction and diagonalization method,prove the existence of the solution of singular perturbation problem and obtain the uniformly valid asymptotic estimation with arbitrary order.
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