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Anti-periodic solutions of Liénard equations with state dependent impulses.
- Source :
-
Journal of Differential Equations . Oct2016, Vol. 261 Issue 7, p4164-4187. 24p. - Publication Year :
- 2016
-
Abstract
- Subject to a priori bounds, Liénard equations with state dependent impulsive forcing are shown to admit a unique absolutely continuous anti-periodic solution with first derivative of bounded variation on finite intervals. The point-wise convergence of a sequence of iterates to the solution is obtained, along with a bound for the rate of convergence. The results are applied to Josephson's and van der Pol's equations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 261
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 117181646
- Full Text :
- https://doi.org/10.1016/j.jde.2016.06.020