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

Gontsov, Renat, Goryuchkina, Irina, Lastra, Alberto

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.

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