by: Ravi P. Agarwal |
Difference Equations and Inequalities: Theory, Methods, and Applications (Pure and Applied Mathematics (Marcel Dekker))
by: Ravi P. Agarwal
ISBN: 0824790073
ISBN-13: 9780824790073
Publisher: CRC - 2000-01-27
Hardcover | 2nd Edition | 1000 Pages
Summary:
In a self-contained monograph synthesizing some 400 recent publications, Agarwal (mathematics, National U. of Singapore) documents the revival of interest in difference equations in nearly every field that uses mathematics. They have been thought of as only discrete analogs of differential equations since the latter developed from them, but interest is rising now that computers are solving differential equations by using their approximate difference equation formulations. After some preliminaries, he surveys their use in linear initial value problems, miscellaneous different equations, difference inequalities, qualitative properties of solutions of difference systems and higher order difference equations, boundary value problems for linear and nonlinear systems, and other areas. To the 1992 edition he here adds a chapter on the qualitative properties of solutions of neutral difference equations.
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