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An axiomatic theory of Volterra integral equations

An axiomatic theory of Volterra integral equations

Introduction.In this paper, we suggest an axiomatic approach to the study of Volterra integral equations (VIEs).The theory developed here is similar to that proposed by V.V. Filippov for the study of ordinary diā†µerential equations and diā†µerential inclusions (see e.g.[7][8][9][10][11]).It is applicable with equal readiness for the treatment of Volterra integral ā€¦