Affiliation:
1. Faculty of Technical Sciences, Novi Sad
Abstract
In the paper under review, we analyze various types of degenerate abstract
Volterra integrodifferential equations in sequentially complete locally
convex spaces. From the theory of non-degenerate equations, it is well known
that the class of (a,k)-regularized C-resolvent families provides an
efficient tool for dealing with abstract Volterra integro-differential
equations of scalar type. Following the approach of T.-J. Xiao and J. Liang
[41]-[43], we introduce the class of degenerate exponentially equicontinuous
(a,k)- regularized C-resolvent families and discuss its basic structural
properties. In the final section of paper, we will look at generation of
degenerate fractional resolvent operator families associated with abstract
differential operators.
Funder
Ministry of Education, Science and Technological Development of the Republic of Serbia
Publisher
National Library of Serbia
Cited by
3 articles.
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