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| The Higher Order Approximation of Solution of Quasilinear Second Order Systems for Singular Perturbation |
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Citation： |
Lin Zongchi.The Higher Order Approximation of Solution of Quasilinear Second Order Systems for Singular Perturbation[J].Chinese Annals of Mathematics B,1987,8(3):357~363 |
| Page view： 740
Net amount： 723 |
Authors： |
Lin Zongchi; |
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| Abstract： |
In this paper, using the theory of invariant region, the author considers the existence and the asymptotic behavior of solution of vector second order quasi-linear boundary value problem:
$\epsilon y''=f(x,y,\epsilon)y'+g(x,y,\epsilon)$
$y(0,\epsilon)=A(\epsilon),y(1,\epsilon)=B(\epsilon)$
as the positive perturbation parameter e tends to zero, where y, g, A and B are vector-valued and f is a matrix function. Under the appropriate assumptions the author obtains, involving the boundary layer, uniformly valid asymptotic solution of higher order approximation. |
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