The abstract renewal equation

S. Schwabik, Math. Inst. Acad. Sci. Czech Republic, PRAHA 1, 115 67, Czech Republic

E. J. Qualitative Theory of Diff. Equ., Proc. 6'th Coll. Qualitative Theory of Diff. Equ., No. 26. (2000), pp. 1-12.

Abstract: The abstract Perron-Stieltjes integral defined in the Kurzweil-Henstock sense is used for introducing Stieltjes convolutions. The approach is used for obtaining basic existence result for the abstract renewal equation which was studied e. g. by Diekmann, Gyllenberg and Thieme.

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