Measure functional differential equations and functional dynamic equations on time scales
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
24/10/2013
24/10/2013
2012
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| Resumo |
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. FAPESP [2010/09139-3, 2010/12673-1] CNPq [304646/2008-3] CAPES [6829-10-4] Czech Ministry of Education [MSM 0021620839] |
| Identificador |
JOURNAL OF DIFFERENTIAL EQUATIONS, SAN DIEGO, v. 252, n. 6, pp. 3816-3847, 2012 0022-0396 http://www.producao.usp.br/handle/BDPI/35957 10.1016/j.jde.2011.11.005 |
| Idioma(s) |
eng |
| Publicador |
ACADEMIC PRESS INC ELSEVIER SCIENCE SAN DIEGO |
| Relação |
JOURNAL OF DIFFERENTIAL EQUATIONS |
| Direitos |
restrictedAccess Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Palavras-Chave | #MEASURE FUNCTIONAL DIFFERENTIAL EQUATIONS #FUNCTIONAL DYNAMIC EQUATIONS #GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS #EXISTENCE AND UNIQUENESS #CONTINUOUS DEPENDENCE ON A PARAMETER #PERIODIC AVERAGING #MATHEMATICS |
| Tipo |
article original article publishedVersion |