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.
Table of Contents
Preliminaries; linear initial value problems; miscellaneous difference equations; difference inequalities; qualitative properties of solutions of difference systems; qualitative properties of solutions of higher order difference equations; qualitative properties of solutions of neutral difference equations; boundary value problems for linear systems; boundary value problems for nonlinear systems; miscellaneous properties of solutions of higher order linear difference equations; boundary value problems for higher order difference equations; Sturm-Liouville problems and related inequalities; difference inequalities in several independent variables.
"Abundant praise for the First Edition. . . . . .a virtual encyclopedia of results concerning difference equations. . ..very well written and easy to read. . ..numerous interesting exercises. . .[that] do a very good job of both complementing and supplementing the material in the book. . . .a very good book to have in one's own personal library."
"This excellent monograph combines all aspects of the theory and methods of solutions of difference equations and their applications."
---Acta Scientifica Mathematica
"The exhaustive compilation and analytic representation of the various mathematical problems are indeed useful. . . .essential for the enrichment of knowledge in mathematics, physics and statistics."
---Indian Journal of Physics