SINGULAR PERTURBATION OF NONLINEAR BOUNDARY VALUE PROBLEMS

Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (5): 1571-1579.

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SINGULAR PERTURBATION OF NONLINEAR BOUNDARY VALUE PROBLEMS

K. W. Chang¹, Lin Zong-chi²

1. University of Calgary, Canada;
2. Fujian Normal University, China

Received:1984-02-05 Online:1984-09-18 Published:1984-09-18

Abstract

Abstract: In this paper we consider the boundary value problemwhere where ε,µ ,are two positive parameters. Under ƒy'≤-k<0 and other suitable restrictions,there exists a solution and it satisfied where yo,o(x) is solution of reduced problem ƒ（x,y,y')=0 (0<x<1) y(1,0,0)=#966;₁(0,0) while y₁-j,j(x)(j=0，1…，i;i=1,2…，m）'can be obtained successively from certain linear equations.

Key words: composite laminates, edge effect, Pipes-Pagano model, interlaminar stresses, symplectic dual system

K. W. Chang;Lin Zong-chi. SINGULAR PERTURBATION OF NONLINEAR BOUNDARY VALUE PROBLEMS. Applied Mathematics and Mechanics (English Edition), 1984, 5(5): 1571-1579.

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References

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SINGULAR PERTURBATION OF NONLINEAR BOUNDARY VALUE PROBLEMS

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