Measure functional differential equations and functional dynamic equations on time scales |
| |
| Authors: | Márcia Federson Jaqueline G Mesquita Antonín Slavík |
| |
| Affiliation: | 1. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos, SP, Brazil;2. Charles University in Prague, Faculty of Mathematics and Physics, Sokolovská 83, 186 75 Praha 8, Czech Republic |
| |
| Abstract: | We study measure functional differential equations and clarify their relation to generalized ordinary differential equations. We show that functional dynamic equations on time scales represent a special case of measure functional differential equations. For both types of equations, we obtain results on the existence and uniqueness of solutions, continuous dependence, and periodic averaging. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
