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E-book
Author Jung, Soon-Mo

Title Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis / Soon-Mo Jung
Published New York : Springer, ©2011

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Description 1 online resource (xiii, 362 pages)
Series Springer optimization and its applications ; v. 48
Springer optimization and its applications ; v. 48.
Contents 1. Introduction -- 2. Additive cauchy equation -- 3. Generalized additive cauchy equations -- 4. Hosszú's functional equation -- 5. Homogeneous functional equation -- 6. Linear functional equations -- 7. Jensen's functional equation -- 8. Quadratic functional equation -- 9. Exponential functional equations -- 10. Muliplicative functional equations -- 11. Logarithmic functional equations -- 12. Trigonometric functional equations -- 13. Isometric functional equation -- 14. Miscellaneous
Summary This textbook at the advanced undergraduate/graduate level will complement the books of D.H. Hyers, G. Isac, and Th. M. Rassias (© Birkhauser 1998) and of S. Czerwik (2002) by integrating and presenting the primary developments applying to almost all the classical results of¡ the Hyers-Ulam-Rassias stability. The self-contained text is presented in an easy to understand fashion and all the necessary materials and information are included in order to appeal to a diverse audience with interests in difference and functional equations and functional analysis. Highlights of the text include discussions of the method of invariant means and the fixed point method, ¡ the stability problems for the exponential functional equations, Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Pexider equation, and superstability of the exponential function
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Functional equations.
Functional analysis.
Ecuaciones funcionales
Functional analysis
Functional equations
Form Electronic book
ISBN 9781441996374
1441996370
1441996362
9781441996367