Some results on entire functions that share one value with their difference operators

In this paper, we give some results on entire functions that share one value with their difference operators. In particular, we prove the following result, which can be regarded as a difference analogue of a result of J.P. Wang and H.X. Yi (J. Math. Anal. Appl. 277: 155-163, 2003): Let f (z) be a non-constant entire function such that rho(2)(f) < 1, a(not equal 0) be a finite constant, and n and m be positive integers satisfying m > n > 1. If f (z) = a (sic) Delta(c)f(z) = a, f (z) = a -> Delta(m)(c)f(z) = Delta(n)(c)f(z) = a, then Delta(n)(c)f(z) = Delta(m)(c)f(z). Two related results are proved and an example is provided.