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Periodic Liénard-type delay equations with state-dependent impulses |
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| Authors: | Jean-Marc Belley Michel Virgilio |
| Institution: | Département de Mathématiques, Université de Sherbrooke, Sherbrooke, Que., Canada J1K 2R1 |
| Abstract: | Conditions are obtained for Liénard-type equations with delay and state-dependent impulses to admit an absolutely continuous periodic solution with first derivative of bounded variation (and consequently with Lebesgue integrable second derivative). The results are applied to Josephson's equation and the nonconservative forced pendulum equation. |
| Keywords: | Periodic solutions Lié nard equation Delay equation State-dependent impulses Generalized functions Absolutely continuous functions Functions of bounded variation Convolutions Josephson's equation Pendulum equation |
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