Title

First-Order Nonlinear Dynamic Initial Value Problems

Abstract

We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two more results are given that discuss dependence of solutions on the initial conditions as well as convergence of sequences of solutions.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Continuous Dependence; Dynamic Equation; Dynamic Inequalities; Existence; First-Order Nonlinear; Fixed Point Theorems; Time Scales

International Standard Serial Number (ISSN)

1752-3591; 1752-3583

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2021 Inderscience, All rights reserved.

Publication Date

01 Sep 2021

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