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Stability of Stationary and Minimum Points

  • Donald H. Hyers
  • George Isac
  • Themistocles M. Rassias
Chapter
  • 244 Downloads
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 34)

Abstract

It is of course well known that two functions may differ uniformly by a small amount and yet their derivatives may differ widely. However, there are certain cases in which these derivatives may even be equal, provided they are evaluated at slightly different points, as in case n = 1 of Theorem 11.1 below. This was proved by S.M. Ulam and D.H. Hyers (1954) (see also Th.M. Rassias (m)).

Keywords

Functional Equation Minimum Problem Minimum Point Absolute Minimum Tangent Cone 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Donald H. Hyers
  • George Isac
    • 1
  • Themistocles M. Rassias
    • 2
  1. 1.Department of Mathematics and Computer ScienceRoyal Military College of CanadaKingstonCanada
  2. 2.Department of MathematicsNational Technical University of AthensAthensGreece

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