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.
This book presents recent recent results in the Ulam stability problem, which was first posed in 1941 and which remains an expanding area of research for various classes of equations. The text offers applications to geometry, physics and applied mathematics.
Preface.- 1. Stability properties of some functional equations (R. Badora).- 2. Note on superstability of MikusiDskis functional equation (B. Batko).- 3. A general fixed point method for the stability of Cauchy functional equation (L. Cdariu, V. Radu).- 4. Orthogonality preserving propertl³D
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