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Difference equations. An introduction with applications. 2nd ed. (English) Zbl 0970.39001
San Diego, CA: Harcourt/Academic Press. x, 403 p. (2001).
This book is devoted to the following problems of the theory of finite difference equations: 1. Introduction. 2. The difference calculus (the difference operator, summation, generating functions and approximate summation). 3. Linear difference equations (first order equations, general results for linear equations, solving linear equations, applications, equations with variable coefficients, nonlinear equations that can be linearized, the $$Z$$-transform). 4. Stability theory (initial value problems for linear systems, fundamental matrices and Floquet theory, chaotic behaviour).