GROWTH OF SOLUTIONS OF HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS

作者：Hamani Karima^*

来源：Electronic Journal of Differential Equations, 2010, 65.

• Linear differential equation
• entire function
• hyper-order

In this article, we study the growth of solutions of the linear differential equation f((k)) + (A(k) (1)(z)e(Pk-1(z)) + B-k (1)(z)) f((k-1)) + ... + (A(0)(z)e(P0(z)) + B-0(z)) f = 0, where k >= 2 is an integer, P-j(z) are nonconstant polynomials and A(j)(z), B-j(z) are entire functions, not identically zero. We determine the hyper-order of these solutions, under certain conditions.

• 出版日期2010-5-8