Bessel functions on time scales and applications to partial dynamic equations
Abstract
Abstract We introduce Bessel functions and modified Bessel functions of integer order on general time scales and establish their basic properties. The main goal is to obtain fundamental solutions of certain partial dynamic equations. Even in the purely discrete case, we obtain new formulas for the fundamental solutions of the discrete diffusion equation with backward time differences.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Differential Equations and Boundary Problems
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Monatshefte für Mathematik
- Volume
- 209
- Issue
- 4
- Pages
- 563–583
- Publication date
- 11 March 2026
- Language
- EN