摘要 : In this paper, using the theory of linear algebra, we investigate the non-linear difference equation of the following form in the complex plane:>where n, s are the positive integers, is a polynomial and are the constants with ,... 展开 In this paper, using the theory of linear algebra, we investigate the non-linear difference equation of the following form in the complex plane:>where n, s are the positive integers, is a polynomial and are the constants with , and show that this equation just has meromorphic solutions with hyper-order at least one when . Other cases are also obtained. 收起