广义Dickman方程的一些新结果

Some New Results of Generalized Dickman Equation

研究一类广义Dickman方程正解的大时间动力学性态,通过分析广义Dickman方程主解与次主解的渐近行为,给出所有解的表达式及其渐近估计,所得结果推广并改进了广义Dickman方程的相关结果.实例验证结果表明:这一类广义Dickman方程所有解的表达式及其渐近估计更具有普遍性.

Study the large time dynamical properties for the positive solution of a class of generalized Dickman equations.By analyzing the asymptotic behaviors of generalized Dickman equations dominant solutions and sub-dominant solutions,the expressions of all solutions and their asymptotic estimations are given,and some related results of generalized Dickman equations are generalized and improved.An example is given to show that the expressions of all solutions of the generalized Dickman equations and their asymptotic estimations are more universal.