Perturbation of differential linear system

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DOI:

https://doi.org/10.26637/mjm404/001

Abstract

We study the regular linear perturbation when the singularity is a point with various situations and practical examples and in the case where the singular place is a line with various practical situations. we hope that our contribution is in fact to use certain technical of non standard Analysis ( infinitesimal calculus) which simplify obviously the proves.

Keywords:

perturbation singular, regular, critical points, exact solution, differential system, orbits, infinitely- small, infinitely-large

Mathematics Subject Classification:

39B55, 39B52, 39B82
  • Djebbar Samir Department of Mathematics, Faculty of Exact and Applied Sciences, University of Oran 1 Ahmed Ben Bella, Algeria.
  • Belaib Lekhmissi Department of Mathematics, Faculty of Exact and Applied Sciences, University of Oran 1 Ahmed Ben Bella, Algeria.
  • Hadadine Mohamed Zine Eddine Mathematics Departement, College of science Aljourf University 2014 Skaka KSA.
  • Pages: 519-523
  • Date Published: 01-10-2016
  • Vol. 4 No. 04 (2016): Malaya Journal of Matematik (MJM)

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Published

01-10-2016

How to Cite

Djebbar Samir, Belaib Lekhmissi, and Hadadine Mohamed Zine Eddine. “Perturbation of Differential Linear System”. Malaya Journal of Matematik, vol. 4, no. 04, Oct. 2016, pp. 519-23, doi:10.26637/mjm404/001.