We consider partial integral in the classes of functions with the mixed Lp– and supnorms or in the anisotropic Lebesgue spaces. For second kind Fredholm integral equations with partial integrals we construct solutions in the form of the operator Neumann series by the method of successive approximations.
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Translated from Problemy Matematicheskogo Analiza 107, 2020, pp. 59-67.
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Lyakhov, L.N., Inozemtsev, A.I. & Trusova, N.I. Fredholm Integral Equations with Partial Integrals in ℝ2. J Math Sci 251, 839–849 (2020). https://doi.org/10.1007/s10958-020-05132-1
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DOI: https://doi.org/10.1007/s10958-020-05132-1