Dynamic Equations on Time Scales
An extension of differential equations to different underlying time domains are so called dynamic equations on time scales. Time scales calculus unifies the continuous and discrete calculus and extends it to any nonempty closed subset of the real numbers. Choosing the time scale to be the real numbe...
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| Main Author: | |
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| Format: | Book Chapter |
| Language: | English |
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IntechOpen
2023
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| Subjects: | |
| Online Access: | https://www.intechopen.com/chapters/81787 |
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| Summary: | An extension of differential equations to different underlying time domains are so called dynamic equations on time scales. Time scales calculus unifies the continuous and discrete calculus and extends it to any nonempty closed subset of the real numbers. Choosing the time scale to be the real numbers, a dynamic equation on time scales collapses to a differential equation, while the integer time scale transforms a dynamic equation into a difference equation. Dynamic equations on time scales allow the modeling of processes that are neither fully discrete nor fully continuous. This chapter provides a brief introduction to time scales and its applications by incorporating a selective collection of existing results. |
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| ISBN: | 978-1-80356-926-0 |
| DOI: | 10.5772/intechopen.104691 |