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    STUDIA MATHEMATICA - Issue no. 4 / 2009  
         
  Article:   ULAM STABILITY OF ORDINARY DIFFERENTIAL EQUATIONS.

Authors:  IOAN A. RUS.
 
       
         
  Abstract:  In this paper we present four types of Ulam stability for ordinary differential equations: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability. Some examples and counterexamples are given.

Key words and phrases. Differential equation, Ulam-Hyers stability, Ulam-Hyers-Rassias stability, differential inequation, integral inequation, Gronwall lemma, Cauchy problem, boundary value problem.
 
         
     
         
         
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