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Zbl 1198.45003
Ad ivar, Murat; Raffoul, Youssef N.
Existence of resolvent for Volterra integral equations on time scales. (English)
[J] Bull. Aust. Math. Soc. 82, No. 1, 139-155 (2010). ISSN 0004-9727

The authors introduce the concept of `shift operators' in order to establish sufficient conditions for the existence of the resolvent for the Volterra integral equation on time scales. The paper will serve as the foundation for future research on the qualitative analysis of solutions of Volterra integral equations on time scales, using the notion of the resolvent.
[Kun Soo Chang (Seoul)]
MSC 2000:
*45D05 Volterra integral equations

Keywords: resolvent; shift operator; time scales; Volterra integral equation

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