Electronic Journal of Differential Equations, Vol. 2010(2010), No. 43, pp. 1-12. Title: Growth of solutions to linear differential equations with entire coefficients of slow growth Authors: Cui-Yan Zhang (Jiangxi Normal Univ., China) Jin Tu (Jiangxi Normal Univ., China) Abstract: In this article, we investigate the hyper order of solutions of higher-order linear differential equations with entire coefficients of slow growth. We assume that the lower order of the dominant coefficient in the high-order linear equations is less than 1/2, and obtain some results which extend the results in [6,13,14,19]. Submitted February 8, 2010. Published March 25, 2010. Math Subject Classifications: 30D35, 34M10. Key Words: Linear differential equations; hyper order, hyper lower order.