Research On Some Demultiplexing Differential Equations

This paper includes five chapters to study the complex domain oscillationproperties of the solutions takes small functions of differential equations.The first chapter mainly introduces the relevant theoretical knowledge reserve.The second chapter,We mainly researched the growth of meromorphic solutionsof complex differential equation (theA_jis meromorphic function). Discuss therelationship of level、super and the exponent of convergence of zeros of the solutionsof the equation take small functions when the coefficients satisfy certain condition.Improvement and extension of Chen Zongxuan, Jin Jin and others have come to theconclusion.The third chapter, we mainly studying the growth of the analytic solutions of thedifferential equation in the unit circle analytic function). obtained the high order and fixed point property of the solutions oflinear differential equation take small function when the coefficients satisfy certaincondition.The fourth chapter,Further study the growth of Meromorphic solutions of a classof differential equation (theA、 Bare transcendental meromorphic function of limited class, the F is ameromorphic functions of limited class). To get a deeper conclusion when the solutionof the equation taking small function. The fifth chapter mainly summarized the contents of the paper researching and itsprospect.