机构地区: 华南师范大学数学科学学院
出 处: 《华南师范大学学报(自然科学版)》 2012年第1期24-28,共5页
摘 要: 利用值分布理论,研究了几类非线性差分方程是否有有限级超越亚纯解的问题,还考虑了"微分差分方程fn(z)+M(z,f)=h(z)是否存在有限级超越整函数解"的问题,其中n(≥3)是整数,h(z)是非零的有理函数,M(z,f)是关于f的线性微分差分多项式. By applying Nevanlinna's value distribution theory of meromorphic functions,the following problems are investigated: the existence of finite order transcendental meromorphic solutions of several kinds nonlinear difference equations,and the existence of finite order transcendental entire function solutions of differential-difference equations with the form f n(z)+M(z,f)=h(z),where n(≥3) is an integer,h(z) is a given non-vanishing rational function,and M(z,f) is a linear differential-difference polynomial in f.