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| Titre: | First Order Linear Equations On Time Scales |
| Auteur(s): | Nechikwira, Farai
Seba, D.(Promoteur) |
| Mots-clés: | Time scales essentials
First Order Linear Equations74 |
| Date de publication: | 2023 |
| Editeur: | Université M'hamed Bougara : Faculté des sciences |
| Résumé: | Unification and extension of the concepts of difference calculus with that of
differential calculus led to the development of time scale calculus, by which we can
recover, as special cases the former and the latter concepts, plus more. We consider
First Order Linear Dynamic Equations (F.O.L.D.Es) on an arbitrary time scale. These
F.O.L.D.Es have as special cases the ordinary differential equations, difference
equations and many others e.g q-difference equations. We begin by taking a step back
and explain what a time scale is, covering the main theorems and special properties of
functions on a time scale. We then introduce the exponential function for a time scale
including its properties, and use these properties to derive solutions for F.O.L.D.Es
with constant coefficients. Several examples and applications, among them an insect
population model, and the logistics equation are considered. |
| Description: | 74 p. : ill. ; 30 cm. |
| URI/URL: | http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/14893 |
| Collection(s) : | Analyse mathématique
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