RT info:eu-repo/semantics/article T1 Power Series Solutions of Non-linear q-Difference Equations and the Newton–Puiseux Polygon A1 Cano Torres, José María A1 Fortuny Ayuso, Pedro K1 Matemáticas K1 Power series solutions K1 q-difference equations K1 Newton polygon method K1 1204 Geometría K1 1201 Álgebra AB Adapting the Newton–Puiseux Polygon process to nonlinear q-difference equationsof any order and degree, we compute their power series solutions, study the propertiesof the set of exponents of the solutions and give a bound for their q-Gevrey order interms of the order of the original equation. PB Birkhauser SN 1575-5460 YR 2022 FD 2022 LK https://uvadoc.uva.es/handle/10324/65523 UL https://uvadoc.uva.es/handle/10324/65523 LA spa NO Qual. Theory Dyn. Syst. 21, 123 (2022). DS UVaDOC RD 11-jul-2024