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This paper studies the boundary value problem involving a small parameter((k(V(t))+ε)[V’(s)[<sup>n-1V’(s)</sup>’+(sg(V(s))+f(V(s))V’(s)=0 for s∈R,V(-∞)=A,V(+∞)=B;A【B,which originates from the Riemann problem for a generalized diffusion equntio