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Mathematics - Dynamical Systems & Differential Equations | Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis

Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis

Jung, Soon-Mo

2011, XIV, 362 p.

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  • Organized such that highly advanced undergraduate as well as graduate level students will be able to follow the materials
  • Contains unified notation and refined formulae
  • All the necessary materials and information are included in this book .
  • Offers almost all classical results on the Hyers—Ulam—Rassias stability in an integrated and self-contained fashion

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.

Content Level » Graduate

Keywords » Functional equations - Hyers-Ulam stability - Hyers-Ulam-Rassias stability - Pexider - Superstability of the exponential function

Related subjects » Analysis - Dynamical Systems & Differential Equations

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