机构地区: 华南师范大学南海校区学院数学系
出 处: 《数学年刊(A辑)》 2013年第3期291-298,共8页
摘 要: 研究了非齐次线性微分方程f(k)+A(k-1)(z)f((k-1)+…+As(z)f(s)+…+A_0(z)f=F(z)解的增长性,其中Aj(j=0,1,…,k-1)及F是整函数.在A_s比其他系数有较快增长的情况下,得到了上述非齐次微分方程在一定条件下的超越整函数解的超级的精确估计. The authors investigate the growth of solutions to the nonhomogeneous linear differential equation f^(k)+Ak-1(z)f^(k-1)+…+As(z)f^(s)+…+Ao(z)f=F(z), where Aj(j=0,1,…,k-1) and F are entire functions. When the domain coefficient As grows faster than other coefficients, the precise estimates of the hyper-order of transcendental entire solutions to the previous higher order linear differential equation are obtained.