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Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis [electronic resource] / by Soon-Mo Jung.

By: Contributor(s): Series: Springer Optimization and Its Applications ; 48Publisher: New York, NY : Springer New York, 2011Description: XIV, 362 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781441996374
Subject(s): Genre/Form: Additional physical formats: Printed edition:: No titleDDC classification:
  • 515.625 23
  • 515.75 23
LOC classification:
  • QA431
Online resources: In: 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.
Item type: eBooks
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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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