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Optimal conditions to ensure the stability of periodic solutions of first order difference equations lying between lower and upper solutions
- Source :
-
Journal of Computational & Applied Mathematics . Apr2005, Vol. 176 Issue 1, p45-57. 13p. - Publication Year :
- 2005
-
Abstract
- Abstract: This paper is devoted to the study of the stability of the solutions of the first order implicit difference periodic equationWe prove that if there exist a pair of lower and upper solutions respectively of this problem together with a suitable condition on the function and it has at most two solutions in the sector , then one of such solutions is asymptotically stable. Moreover, it is proved the optimality of the given results, both in the conditions imposed on and in the number of the periodic solutions. [Copyright &y& Elsevier]
- Subjects :
- *EQUATIONS
*NUMERICAL analysis
*MATHEMATICS
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 176
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 19255226
- Full Text :
- https://doi.org/10.1016/j.cam.2004.07.007