Abstract
We apply the method of successive approximations to abstract Volterra equations of the formx=f+a*Ax, whereA is a closed linear operator. The assumption is made that a kernela is continuous but is not necessarily of bounded variation.
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Additional information
Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 3, pp. 376–382, March, 1999.
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Mishura, Y.S., Tomilov, Y.V. Method of successive approximations for abstract volterra equations in a banach space. Ukr Math J 51, 419–426 (1999). https://doi.org/10.1007/BF02592478
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DOI: https://doi.org/10.1007/BF02592478