Basic results for functional differential and dynamic equations involving impulses

Mathematische Nachrichten - Tập 286 Số 2-3 - Trang 181-204 - 2013
M. Federson1, Jaqueline G. Mesquita1, Antonín Slavík2
1Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos, SP, Brazil. Phone: +55 16 33738156, Fax: +55 16 33739650
2Charles University in Prague, Faculty of Mathematics and Physics, Sokolovská 83, 186 75 Praha 8, Czech Republic. Phone: +55 16 33739153, Fax: +55 16 33739650

Tóm tắt

AbstractWe study the relation between measure functional differential equations, impulsive measure functional differential equations, and impulsive functional dynamic equations on time scales. For both types of impulsive equations, we obtain results on the existence and uniqueness of solutions, continuous dependence, and periodic averaging. Along the way, we also clarify the relation between time scale integrals and Kurzweil‐Henstock‐Stieltjes integrals.

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Mathematische Nachrichten

Tập 286 Số 2-3

181-204

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