Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis [electronic resource] / by Soon-Mo Jung.
By: Jung, Soon-Mo [author.].
Contributor(s): SpringerLink (Online service).
Material type:
BookSeries: Springer Optimization and Its Applications: 48Publisher: New York, NY : Springer New York, 2011Description: XIV, 362 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781441996374.Subject(s): Mathematics | Global analysis (Mathematics) | Functional equations | Functional analysis | Mathematics | Difference and Functional Equations | Analysis | Functional AnalysisDDC classification: 515.625 | 515.75 Online resources: Click here to access online
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Springer eBooksSummary: 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.
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.
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