Work

Existence and Uniqueness of Solutions to Abstract Discrete-Time Cauchy Problems in Vector-Valued Weighted Spaces

Year: 2026

Type: article

Abstract: 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.

Source: Axioms

DOI: 10.3390/axioms15010044

Authors: Jagan Mohan Jonnalagadda, Carlos Lizama

Institutions: Birla Institute of Technology and Science, Pilani, Universidad de Santiago de Chile

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Agencia Nacional de Investigación y Desarrollo