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

Axioms 2026 Open access

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Authors: Jagan Mohan Jonnalagadda, Carlos Lizama
DOI: 10.3390/axioms15010044
Cited by: 0
References: 24

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.

Fields of Study & Subjects

Nonlinear Differential Equations Analysis Fixed Point Theorems Analysis Approximation Theory and Sequence Spaces

Publication details

Journal / source
Axioms
Volume
15
Issue
1
Pages
44–44
Publication date
8 January 2026
Language
EN