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    STUDIA MATHEMATICA - Issue no. 3 / 2021  
         
  Article:   ON A FREDHOLM-VOLTERRA INTEGRAL EQUATION.

Authors:  ALEXANDRU-DARIUS FILIP, IOAN RUS.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath. 2021.3.12

Published Online: 2021-09-30
Published Print: 2021-09-30
pp. 567-573

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In this paper we give conditions in which the integral equation centerline{$x(t)=displaystyleint_a^c K(t,s,x(s))ds+int_a^t H(t,s,x(s))ds+g(t), tin [a,b],$} oindent where $a
Mathematics Subject Classification (2010): 45N05, 47H10, 47H09, 54H25.

Keywords: Fredholm-Volterra integral equation, existence, uniqueness, contraction, fiber contraction, Maia theorem, successive approximation, fixed point, Picard operator.
 
         
     
         
         
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