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A note on spectral theory of integral-functional Volterra operators
- Publication Year :
- 2024
-
Abstract
- A concise overview of the spectral theory of integral-functional operators is provided. In the context of analysis, a technique is described for deriving solutions to equations involving operators in a closed form. A constructive theorem has been established, outlining a procedure for determining the eigenvalues and eigenfunctions of these operators. Based on this foundation, an analytical approach for generating solutions to a Volterra-type integro-functional inhomogeneous equation is proposed.
- Subjects :
- Mathematics - Dynamical Systems
45D05 45M05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2404.07041
- Document Type :
- Working Paper