First-Order Nonlinear Dynamic Initial Value Problems

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Sanket Tikare
Iguer Luis Domini dos Santos

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.

Recommended Citation

M. Bohner et al., "First-Order Nonlinear Dynamic Initial Value Problems," International Journal of Dynamical Systems and Differential Equations, vol. 11, no. 3 thru 4, pp. 241 - 254, Inderscience, Sep 2021.

The definitive version is available at https://doi.org/10.1504/IJDSDE.2021.117358

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