Faculty of Technical Sciences
University of Novi Sad
Trg D. Obradovica 6
21125 Novi Sad, Serbia
email: marco.s@verat.net
Marko Kostic
Abstract:
The main aim of this paper is to study the asymptotic almost periodicity,
Stepanov almost periodicity, and asymptotic Stepanov almost periodicity of
various classes of regularized solution operator families appearing in
the theory of abstract Volterra integro-differential equations.
Subgenerators of these solution operator families, which can be degenerate
or non-degenerate in time, are multivalued linear operators.
We contemplate the results established by many other authors, providing
also a great number of original contributions, illustrative examples and
applications of our abstract results.
Submitted April 18, 2017. Published October 3, 2017.
Math Subject Classifications: 35B15, 47D03, 47D60, 47D62, 34G25.
Key Words: Volterra integro-differential equations; (a,k)-regularized C-resolvent;
Stepanov almost periodic; asymptotic almost periodic;
asymptotic Stepanov almost periodic.
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Marko Kostic Faculty of Technical Sciences University of Novi Sad Trg D. Obradovica 6 21125 Novi Sad, Serbia email: marco.s@verat.net |
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