Existence and Uniqueness of Solutions to Abstract Discrete-Time Cauchy Problems in Vector-Valued Weighted Spaces
This article studies the abstract discrete-time Cauchy problem involving the Riemann–Liouville type difference operator. Sufficient conditions for the existence of unique solution to the semilinear Cauchy problem in Lebesgue and weighted Lebesgue vector-valued spaces are shown. Finally, some examples are presented to illustrate the main results.
Authors
- Carlos Lizama (ORCID: https://orcid.org/0000-0002-9807-1100)
- Jagan Mohan Jonnalagadda (ORCID: https://orcid.org/0000-0002-1310-8323)
Institutions
- Universidad de Santiago de Chile (CL)
- Birla Institute of Technology and Science - Hyderabad Campus (IN)
- Birla Institute of Technology and Science, Pilani (IN)
Publication Details
- Journal
- Axioms
- Published
- 2026-01-08
- DOI
- https://doi.org/10.3390/axioms15010044
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00