On line integrals and Green's theorem for time scales: A discussion with some illustrations
Time scale calculus is the study of concepts like derivatives and integrals applied to a set T called a time scale. A time scale is any nonempty closed subset of the real numbers equipped with the standard topology. This paper is an exposition of the paper by Bohner and Guseinov entitled Line Integr...
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| Format: | text |
| Language: | English |
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Animo Repository
2019
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| Online Access: | https://animorepository.dlsu.edu.ph/etd_masteral/5842 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | Time scale calculus is the study of concepts like derivatives and integrals applied to a set T called a time scale. A time scale is any nonempty closed subset of the real numbers equipped with the standard topology. This paper is an exposition of the paper by Bohner and Guseinov entitled Line Integrals and Green’s Formula on time scales. Detailed proofs are provided for each result and computational examples are provided for delta and nabla integrals for the time scale T = {0} ∪ {1 n : n ∈ N} to illustrate Green’s Theorem. |
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