#functional-equations

39. Difference and Functional Equations

This volume studies equations defined by discrete steps and functional relations. It complements differential equations by focusing on iteration, recursion, and functional identities. Part I. Difference Equations Chapter 1. Discrete Dynamical Systems 1.1 Sequences as dynamical systems 1.2 Iteration of maps 1.3 Fixed points 1.4 Stability 1.5 Examples Chapter 2. First-Order Difference Equations 2.1 Linear equations 2.2 Nonlinear equations 2.3 Explicit solutions 2.4 Recurrence relations 2.5 Applications Chapter 3. Higher-Order...