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Let A(z) be an entire function with μ(A) ＜ 1/2 such that the equation f(k) +A(z)f =0,where k ≥ 2,has a solution f with λ(f) ＜ μ(A),and suppose that A1 =A+h,where h (≠) 0 is an entire function with ρ(h) ＜ μ(A).Then g(k) + A1(z)g =0 does not have a solution g with λ(g) ＜ ∞.