Existence of Parabolic Dynamic Equations in Time Scales
The class of parabolic equations in time sclases with forward jum operators are investigated for existence of at least one solution, at least two nonnegative and at least three nonnegative solutions. For this aim, a new integral representation of the solutions is derived. The results are illustrated by using the Burgers equation.
Authors
- Ranis N. Ibragimov (ORCID: https://orcid.org/0000-0003-1476-5672)
- Svetlin G. Georgiev
Institutions
- Hampton University (US)
- Sorbonne Université (FR)
- Université Paris 1 Panthéon-Sorbonne (FR)
Publication Details
- Journal
- The interdisciplinary journal of Discontinuity Nonlinearity and Complexity
- Published
- 2026-09-07
- DOI
- https://doi.org/10.5890/dnc.2027.03.012
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00