Introduction to Difference Equations (1986)
Samuel Goldberg
Palavras-chave:
Dados técnicos
Editora: Wiley. Número de páginas: 260. Livro em inglês. 1ed, 1986.Capítulos
1) The Calculus of Finite Differences1.1) The First Difference Function
1.2) Second and Higher Differences
1.3) The Operator E
1.4) Some Properties of delta and E
1.5) Equivalence of Operators
1.6) Indefinite Summation: The Operator delta^-1
1.7) Anaologies between the Difference and Differencial Calculus
2) Difference Equations
2.1) Basic Definitions
2.2) Solutions of a Difference Equation
2.3) An Existence and Uniqueness Theorem
2.4) The Equation y[k+1] = A_y[k] + B
2.5) Sequences
2.6) Solutions as Sequences
2.7) Simple and Compound Interest
2.8) Economic Dynamics
2.9) Inventory Analysis
2.10) A Probability Model for Learning
2.11) Geometric Growth
2.12) Approximiatting a Differencial Equation by a Difference Equation
3) Linear Difference Equations with Constant Coefficients
3.1) Some Basic Theorems
3.2) Fundamental Sets of Solutions
3.3) General Solution of the Homogeneous Equation
3.4) Particular Solutions of the Complete Equation
3.5) Limiting Behaviour of Solutions
3.6) Illustrative Examples from the Social Siences
3.7) The General Case of Order n
3.8) Linear Differencial Equations with Constant Coefficients
4) Selected Topics
4.1) Equilibrium and Stability
4.2) First-Order Equations and Codweb Cycles
4.3) A Characteristic-Value Problem
4.4) Generating Functions
4.5) Matrix Methods
