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Functional Equations, Difference Inequalities and Ulam Stability Notions (F.U.N.)
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Editors: John Michael Rassias (National and Capodistrian University of Athens , Greece)
Book Description:
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 cooperation 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.


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Table of Contents:
Preface pp. i-ix
Chapter 1. Ulam’s stability of a class of linear Cauchy functional
equations, pp. 1-14
(A. Charifi, M. A. Sibaha, B. Bouikhalene and S. Kabbaj)

Chapter 2. Sequential antagonistic games with an auxiliary initial phase, pp. 15-36
(J. H. Dshalalow and W. Huang)

Chapter 3. Some stability results for equations and inequalities
connected with the exponential function, pp. 37-46
(W. Fechner and R. Ger)

Chapter 4. On a problem of John M. Rassias concerning the stability in
Ulam sense of Euler-Lagrange equation, pp. 47-53
(L. Gavruta and P. Gavruta)

Chapter 5. Hyers-Ulam-Aoki-Rassias stability and Ulam-Gavruta-Rassias stability of quadratic homomorphisms and quadratic derivations on Banach Algebras, pp. 55-71
(M. E. Gordji and N. Ghobadipour)

Chapter 6. Fundamental solutions for the generalized elliptic Gellerstedt equation, pp. 73-83
(A. Hasanov, J. M. Rassias and M. Turaev)

Chapter 7. Pointwise superstability and superstability of the Jordan
equation, pp. 85-94
(J.-R. Lv, H.-X. Cao and J. M. Rassias)

Chapter 8. A problem with non-local conditions on the line of
degeneracy and parallel characteristics for a mixed type
equation with singular coefficient, pp. 95-105
(M. Mirsaburov and M. Kh. Ruziev)

Chapter 9. On the stability of an additive functional inequality in
normed Modules, pp. 107-117
(Ch. Park)

Chapter 10. Cubic derivations and quartic derivations on Banach
modules, pp. 119-129
(Ch. Park and J. M. Rassias)

Chapter 11. Tetrahedron isometry Ulam stability problem , pp. 131-142
(J. M. Rassias)

Chapter 12. Hyers-Ulam stability of Cauchy type additive functional
equations, pp. 143-147
(M. J. Rassias)

Chapter 13. Solution and Ulam stability of a mixed type cubic and
additive functional equation, pp. 149-175
(J. M. Rassias, K. Ravi, M. Arunkumar and B. V. S. Kumar)

Chapter 14. Stability of mappings approximately preserving
orthogonality and related topics, pp. 177-189
(A. Turnsek)

Chapter 15. The Frank problem for second order nonlinear equations
of mixed type with non-smooth degenerate curve, pp. 191-207
(G. C. Wen)

Index pp.209-211

   Series:
      Mathematics Research Developments
   Binding: Hardcover
   Pub. Date: 2013- January
   Pages: 220
   ISBN: 978-1-60876-461-7
   Status: AV
  
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
  
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Functional Equations, Difference Inequalities and Ulam Stability Notions (F.U.N.)