The Complex Oscillation Question On Meromorphic Solutions Of Several Kinds Of Differential Equations

Content: In this thesis, we investigate the question on the complex oscillation of meromorphic solutions of several kinds of linear differential equations. It includes the following three parts.In part 1 (Introduction) We give a brief introduction of the development history of this research field and lead into some related definitions and necessary signs.In part 2 (Chapter 2) We study the hyper orders of growth and the exponents of convergence of the zero-sequence of the solutions of a kind of differential equation. In this equation , there exists a coefficient D_s(1≤s≤k -1) being of larger growth than any other D_j( j≠s),we obtain some precise estimations of hyper-order of meromorphic solutions of the equation.In part 3 ( Chapter) we investigate two types of K-order linear differential equations with entire coefficients ,in some conditions, we obtain some precise estimations of the hyper order ,the exponent of convergence and the hyper-exponent of convergence of zeros of the solutions of this equation.