Article
First-Order Nonlinear Dynamic Initial Value Problems
International Journal of Dynamical Systems and Differential Equations
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
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2021 Inderscience, All rights reserved.
Publication Date
9-1-2021
Publication Date
01 Sep 2021
Disciplines
Citation Information
Martin Bohner, Sanket Tikare and Iguer Luis Domini dos Santos. "First-Order Nonlinear Dynamic Initial Value Problems" International Journal of Dynamical Systems and Differential Equations Vol. 11 Iss. 3 thru 4 (2021) p. 241 - 254 ISSN: 1752-3591; 1752-3583 Available at: http://works.bepress.com/martin-bohner/210/