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    STUDIA MATHEMATICA - Issue no. 2 / 2020  
         
  Article:   ULAM STABILITY OF VOLTERRA INTEGRAL EQUATION ON A GENERALIZED METRIC SPACE.

Authors:  SORINA ANAMARIA CIPLEA, NICOLAIE LUNGU.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2020.2.11

Published Online: 2020-06-05
Published Print: 2020-06-30
pp. 303-308
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ABSTRACT: The aim of this paper is to give some Ulam-Hyers stability results for Volterra integral equations on a generalized metric space. In this case we consider the Volterra integral equation in the Krasnoselski-Krein and Naguno-Perron-Van Kampen conditions. Here we present only Ulam-Hyers stability for the Volterra integral equation. Mathematics Subject Classification (2010): 45G10, 45M10, 47H10, 47J20. Keywords: Volterra integral equations, Ulam-Hyers stability, generalized metric space, Krasnoselski-Krein conditions, Naguno-Perron-Van Kampen conditions

Key words: Volterra integral equations, Ulam-Hyers stability, generalized metric space, Krasnoselski-Krein conditions, Naguno-Perron-Van Kampen conditions.
 
         
     
         
         
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