Iteration Theory - Proceedings Of The European Conference
Iteration Theory - Proceedings Of The European Conference

Author: W Forg-rob

Publisher: World Scientific

Published: 1996-07-03

Total Pages: 298

ISBN-13: 9814547891

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Iteration theory has its roots in the operation of substituting functions into itself. This has led to questions like that of the behaviour of functions by repeating this substitution and when the number of iterations tends to infinity. The terms 'orbit' and 'chaos' appropriately describe this behaviour. Dynamical systems and the theory of functional equations play important roles in this field.

Functional Equations in Mathematical Analysis
Functional Equations in Mathematical Analysis

Author: Themistocles M. Rassias

Publisher: Springer Science & Business Media

Published: 2011-09-18

Total Pages: 744

ISBN-13: 1461400554

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The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research. This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics. "Functional Equations in Mathematical Analysis" is intended for researchers and students in mathematics, physics, and other computational and applied sciences.