Functional Equations, Difference Inequalities and Ulam Stability Notions (F. U. N. )

by Rassias, John Michael

• ISBN13: 9781608764617
• ISBN10: 1608764613
• Format: Hardcover
• Copyright: 2010-07-01
• Publisher: Nova Science Pub Inc

Summary

This book is a forum for exchanging ideas among eminent mathematicians and physicists, from many parts of the world, as a tribute to the first centennial birthday anniversary of Stanislaw Marcin ULAM. This collection is composed of outstanding contributions in mathematical and physical equations and inequalities and other fields of mathematical and physical sciences. It is intended to boost the co-operation among mathematicians and physicists working on a broad variety of pure and applied mathematical areas. This transatlantic collection of mathematical ideas and methods comprises a wide area of applications in which equations, inequalities and computational techniques pertinent to their solutions play a core role. Ulam's influence has been tremendous on our everyday life, because new tools have been developed, and revolutionary research results have been achieved , bringing scientists of exact sciences even closer, by fostering the emergence of new approaches, techniques and perspectives.

Table of Contents

Preface

Ulam's stability of a class of linear Cauchy functional equations

Sequential antagonistic games with an auxiliary initial phase

Some stability results for equations & inequalities connected with the exponential function

On a problem of John M. Rassias concerning the stability in Ulam sense of Euler-Lagrange equation

Hyers-Ulam-Aoki-Rassias stability & Ulam-Gavruta-Rassias stability of quadratic homomorphisms & quadratic derivations on Banach Algebras

Fundamental solutions for the generalized elliptic Gellerstedt equation

Pointwise superstability & superstability of the Jordan equation

A problem with non-local conditions on the line of degeneracy & parallel characteristics for a mixed type equation with singular coefficient

On the stability of an additive functional inequality in normed Modules

Cubic derivations & quartic derivations on Banach modules

Tetrahedron isometry Ulam stability problem

Hyers-Ulam stability of Cauchy type additive functional equations

Solution & Ulam stability of a mixed type cubic & additive functional equation

Stability of mappings approximately preserving orthogonality & related topics

The Frank problem for second order non-linear equations of mixed type with non-smooth degenerate curve

Index

Table of Contents provided by Publisher. All Rights Reserved.