论文标题
在$ q $ -Difference方程的广义电源系列解决方案融合问题的问题中
Small divisors in the problem of the convergence of generalized power series solutions of $q$-difference equations
论文作者
论文摘要
在出现小型除数现象的情况下,研究了$ q $ - 差异方程的广义正式功率系列(具有复杂功率指数)的融合问题的问题;获得了经典功率系列解决方案的相应条件的充分融合条件。
The question of the convergence of generalized formal power series (with complex power exponents) solutions of $q$-difference equations is studied in the situation where the small divisors phenomenon arises; a sufficient condition of convergence generalizing corresponding conditions for classical power series solutions is obtained.