Abstract Degenerate Non-Scalar Volterra Equations on the Line
The main aim of this paper is to investigate the existence and uniqueness of solutions for some classes of abstract degenerate non-scalar Volterra equations on the line. In order to achieve our aims, we essentially apply the vector-valued Fourier transform. We use the class of (A,k,B)-regularized C-pseudoresolvent families in our analysis as well, and present several useful remarks and illustrative applications of the established results.
Authors
- Marko Kostić (ORCID: https://orcid.org/0000-0002-0392-4976)
Institutions
- University of Novi Sad (RS)
Publication Details
- Journal
- Axioms
- Published
- 2025-04-01
- DOI
- https://doi.org/10.3390/axioms14040266
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00