Difference equations and inequalities : theory, methods, and applications /
by Ravi P. Agarwal.
- First edition.
- 1 online resource (1000 pages).
- Chapman & Hall/CRC Pure and Applied Mathematics .
- Chapman & Hall/CRC Pure and Applied Mathematics. .
chapter 1 Chapter 1 -- Preliminaries -- chapter 2 Chapter 2 -- Linear Initial Value Problems -- chapter 3 Chapter 3 -- Miscellaneous Difference Equations -- chapter 4 Chapter 4 -- Difference Inequalities -- chapter 5 Chapter 5 -- Qualitative Properties Solutions of Difference Systems -- chapter 6 Chapter 6 -- Qualitative Properties Solutions of Higher Order Difference Equations -- chapter 7 Chapter 7 -- Qualitative Properties Solutions of Neutral Difference Equations -- chapter 8 Chapter 8 -- Boundary Value Problems Linear Systems = = u(K + = = + = = -- chapter 9 Chapter 9 -- Boundary Value Problems Nonlinear Systems -- chapter 10 Chapter 10 -- Miscellaneous Properties Solutions of Higher Order Linear Difference Equations -- chapter 11 Chapter 11 -- Boundary Value Problems Higher Order Difference Equations -- chapter 12 Chapter 12 -- Sturm-Liouville Problems and Related Inequalities -- chapter 13 Chapter 13 -- Difference Inequalities in Several Independent Variables.
A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and other disciplines. It features 200 new problems, 400 additional references, and a new chapter on the qualitative properties of solutions of neutral difference equations.