非线性差分方程的解析通解
Analytic General Solutions of Nonlinear Difference Equations
摘要:
非线性差分方程的解的存在性并没有普遍的定理,因此必须根据模型逐一证明解的存在性。在我们的工作中,我们发现了非线性二阶差分方程分析解的存在性定理。本文的主要工作是用新的复分析方法得到解析通解的表示。
英文摘要:
There is no general existence theorem for solutions for nonlinear difference equations, so we must prove the existence of solutions in accordance with models one by one. In our work, we found theorems for the existence of analytic solutions of nonlinear second order difference equations. The main work of the present paper is obtaining representations of analytic general solutions with new methods of complex analysis.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。