Partial Difference Equations

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CRC Press, Feb 6, 2003 - Mathematics - 288 pages
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Partial Difference Equations treats this major class of functional relations. Such equations have recursive structures so that the usual concepts of increments are important. This book describes mathematical methods that help in dealing with recurrence relations that govern the behavior of variables such as population size and stock price. It is helpful for anyone who has mastered undergraduate mathematical concepts. It offers a concise introduction to the tools and techniques that have proven successful in obtaining results in partial difference equations.
 

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Contents

Basic Tools
17
Symbolic Calculus
47
Monotonicity and Convexity
93
Explicit Solutions
113
Stability
147
Existence
201
Nonexistence
223
Bibliography
255
Index
266
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