Palestras e Seminários

30/10/2019

14:00

sala 4-003

Palestrante: Marcia Richtielle da Silva

Responsável: Estefani Moraes Moreira (estefani@usp.br)

Salvar atividade no Google Calendar Seminário em Dinâmica não-linear

This work concerns the study of periodic solutions for a class of neutral functional differential equations  (NFDEs) of type: $\frac{d}{dt}(x(t)-A(t,x_t))=f(t,x_t),$ where
$A,f: \mathbb{R} \times G_{T}^-(\mathbb{R}, \mathbb{R}^n) \rightarrow  \mathbb{R}^n$
are $T$-periodic functions with respect to the first variable and $G_{T}^-(\mathbb{R}, \mathbb{R}^n)$ denotes the  space of all regulated $T-$periodic functions $f: \mathbb{R} \to \mathbb{R}^n$ which are continuous from the left.

References
[1] J. Dugundji and A. Granas, Fixed point theory I, (Warszawa: PWN-Polish Scienti c Publishers, 1982).

[2] D. Fraňková , Regulated functions, Mathematica Bohemica, 116 (1), (1991), 20-59.
[3] Jianhong Wu and Huaxing Xia, Topological transversality and periodic solutions of neutral functional differential equations, Proceedings of the Royal Society of Edinburgh, 129A, (1999),
199-220.
[4] C. S. Hönig, Volterra Stieltjes-Integral Equations, North-Holland Publ. Comp., Amsterdam, 1975.

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