Viable periodic solutions in state-dependent impulsive problems
- Autores: Grzegorz Gabor
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 66, Fasc. 3, 2015, págs. 351-365
- Idioma: inglés
- DOI: 10.1007/s13348-015-0139-x
- Enlaces
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Resumen
Periodic solutions of state-dependent impulsive ODEs in a prescribed set of constraints are examined. The so-called impulsive index is introduced, as a topological tool, and its properties are studied. Some sufficient conditions for its homotopy property are discussed in detail. In a construction of the impulsive index the fixed point index on ANRs is applied to an induced discrete semidynamical system on a barrier where jumps occur. Several illustrative examples are added.
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