A MULTIPARAMETRIC FAMILY OF SOLUTIONS TO THE VOLTERRA INTEGRAL EQUATION IN BANACH SPACE
Abstract
In a specially introduced Banach space, the Volterra integral equation with a third-order kernel having a finite number of derivatives near zero is studied. Under certain restrictions on the spectrum of the operator bundle corresponding to the integral operator, a multi-parameter family of solutions is constructed.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Nonlinear Differential Equations Analysis
Advanced Banach Space Theory
Publication details
- Pages
- 166–178
- Publication date
- 20 January 2026