Complex Oscillation Of Higher Order Linear Differential Equations With Coefficients Being Lacunary Series

In this thesis, we make use of the basic knowledge of theory of complexlinear diferential equations to investigate complex oscillation of higher order lineardiferential equations with coefcients being lacunary series. This thesis is madeup of three chapters.In chapter1, we introduce the definitions and some basic notations aboutcomplex linear diferential equations and some basic theory of Nevanlinna valuedistribution theory of meromorphic functions.In chapter2, we investigate the growth of the solutions of equation (1.1.1)and (1.1.2) with coefcients being lacunary series of finite order.In chapter3, we replace the coefcients of finite order in (1.1.1) and (1.1.2)with lacunary series of finite iterated order and continue to investigate the growthand exponent of convergence of zero sequence of the solutions of equation (1.1.1)and (1.1.2) under some condition, and we obtain some results which improve andextend the results in chapter2.