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STUDIA MATHEMATICA - Issue no. 3 / 2021 | |||||||
Article: |
ON A FREDHOLM-VOLTERRA INTEGRAL EQUATION. Authors: ALEXANDRU-DARIUS FILIP, IOAN RUS. |
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Abstract: DOI: 10.24193/subbmath. 2021.3.12 Published Online: 2021-09-30 Published Print: 2021-09-30 pp. 567-573 VIEW PDF FULL PDF 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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