BOUNDARY AND INTERIOR LAYER BEHAVIOR FOR SINGULARLY PERTURBED VECTOR PROBLEM

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张祥
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singular perturbation; differential inequality; boundary layer; inner layer;
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In this paper,we consider the vector nonlinear boundary value problem:εy~v=f(x,y,z,y′,ε),y(0)=A,y(1)=Bεz~v=g(x,y,z,z′,ε),z(0)=A,z(1)=Bwhereε>0 is a small parameter,0≤x≤1 ,f and g are continuous functions in R~4,Under appropriate assumptions,by means of the differential inequalities,we demonstratethe existence and estimation,involving boundary and interior layers,of the solutions to theabove problem.
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页码:1067 / 1074
页数:8
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