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Handbook of Mathematics for Engineers and Scientists > Contents > 17. Difference Equations and Other Functional Equations
17. Difference Equations and Other Functional Equations
 17.1. Difference Equations of Integer Argument
 17.1.1. FirstOrder Linear Difference Equations of Integer Argument
 17.1.2. FirstOrder Nonlinear Difference Equations of Integer Argument
 17.1.3. SecondOrder Linear Difference Equations with Constant Coefficients
 17.1.4. SecondOrder Linear Difference Equations with Variable Coefficients
 17.1.5. Linear Difference Equations of Arbitrary Order with Constant Coefficients
 17.1.6. Linear Difference Equations of Arbitrary Order with Variable Coefficients
 17.1.7. Nonlinear Difference Equations of Arbitrary Order
 17.2. Linear Difference Equations with a Single Continuous Variable
 17.2.1. FirstOrder Linear Difference Equations
 17.2.2. SecondOrder Linear Difference Equations with Integer Differences
 17.2.3. Linear mthOrder Difference Equations with Integer Differences
 17.2.4. Linear mthOrder Difference Equations with Arbitrary Differences
 17.3. Linear Functional Equations
 17.3.1. Iterations of Functions and Their Properties
 17.3.2. Linear Homogeneous Functional Equations
 17.3.3. Linear Nonhomogeneous Functional Equations
 17.3.4. Linear Functional Equations Reducible to Linear Difference Equations with Constant Coefficients
 17.4. Nonlinear Difference and Functional Equations with a Single Variable
 17.4.1. Nonlinear Difference Equations with a Single Variable
 17.4.2. Reciprocal (Cyclic) Functional Equations
 17.4.3. Nonlinear Functional Equations Reducible to Difference Equations
 17.4.4. Power Series Solution of Nonlinear Functional Equations
 17.5. Functional Equations with Several Variables
 17.5.1. Method of Differentiation in a Parameter
 17.5.2. Method of Differentiation in Independent Variables
 17.5.3. Method of Substituting Particular Values of Independent Arguments
 17.5.4. Method of Argument Elimination by Test Functions
 17.5.5. Bilinear Functional Equations and Nonlinear Functional Equations Reducible to Bilinear Equations
 References for Chapter 17
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