Differential Galois theory provides an algebraic framework for understanding the symmetries and solvability of linear differential equations by associating to each equation a group of ...

Nonlinear difference equations govern the evolution of variables in discrete time and underpin a wide range of dynamical systems across ecology, economics, engineering and beyond. Unlike linear ...

In mathematics, a recurrence relation is an equation which defines a sequence recursively: each term of the sequence is defined as a function of the preceding terms. A difference equation is a ...

A discrete-time system is implemented as a set of difference equations. A difference equation is a recursive algebraic equation that computes the next value of a discrete output given the current and ...