Analytic General Solutions of Nonlinear Difference Equations

Details Analytic General Solutions of Nonlinear Difference Equations Analytic General Solutions of Nonlinear Difference Equations

2006-03-28

arxiv.org/abs/math/0603648v1

Mathematics

Classical Analysis and ODEs

16papers, no figure

Scientific paper

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.

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