Resumen de Power Series Solutions of Non-linear q-Difference Equations and the Newton–Puiseux Polygon

J. Cano, Pedro Fortuny Ayuso

• Adapting the Newton–Puiseux Polygon process to nonlinear q-difference equations of any order and degree, we compute their power series solutions, study the properties of the set of exponents of the solutions and give a bound for their q-Gevrey order in terms of the order of the original equation.