We establish conditions for the existence of solutions of boundary-value problems for weakly nonlinear integro-differential equations with parameters and restrictions. We also substantiate the applicability of iterative and projection-iterative methods for the solution of these problems.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 5, pp. 672–679, May, 2009.
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Luchka, A.Y., Nesterenko, O.B. Methods for the solution of boundary-value problems for weakly nonlinear integro-differential equations with parameters and restrictions. Ukr Math J 61, 801–809 (2009). https://doi.org/10.1007/s11253-009-0241-x
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DOI: https://doi.org/10.1007/s11253-009-0241-x