Sufficient conditions for the existence of an analytic solution of analytic equations in the complex and real cases are given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-1-8, author = {Jacek Stasica}, title = {On asymptotic solutions of analytic equations}, journal = {Annales Polonici Mathematici}, volume = {81}, year = {2003}, pages = {71-76}, zbl = {1243.32003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-1-8} }
Jacek Stasica. On asymptotic solutions of analytic equations. Annales Polonici Mathematici, Tome 81 (2003) pp. 71-76. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-1-8/