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STUDIA MATHEMATICA - Issue no. 1 / 2021 | |||||||
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FREDHOLM AND VOLTERRA NONLINEAR POSSIBILISTIC INTEGRAL EQUATIONS. Authors: SORIN G. GAL, IONUȚ T. IANCU. |
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Abstract: DOI: 10.24193/subbmath.2021.1.09 Published Online: 2021-03-20 Published Print: 2021-03-30 pp. 105-113 VIEW PDF FULL PDF ABSTRACT. In this paper we study the nonlinear functional equations obtained from the classical integral equations of Fredholm and of Volterra of second kind, by replacing there the linear Lebesgue integral with the nonlinear possibilistic integral. Mathematics Subject Classification (2010): 45B05, 47H10, 28E10, 28A99. Keywords: Possibility measure, nonlinear possibilistic integral, Fredholm nonlinear possibilistic integral equation, Volterra nonlinear possibilistic integral equation, fixed point theorem, successive approximations. |
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