# Hatvani László honlapja

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 Cím: On the existence of periodic solutions of some nonlinear functional differential equations with unbounded delay. Szerzõ: Burton, T.A.; Hatvani, L. Forrás: Nonlinear Anal., Theory Methods Appl. 16, No.4, 389-398 (1991). Nyelv: English Absztrakt: The authors consider a system of nonlinear integro-differential equations of the form $$x'(t)=Dx(t)+\int\sp \infty\sb{-\infty}[d\sb sE(t,s)]g(x(t+s))+f(t,x(t)),$$ where $D$ is an $(n\times n)$-constant matrix, the function $Q(t):=\int\sp \infty\sb{-\infty}\vert d\sb sE(t,s)\vert$ is continuous ($\vert\cdot\vert$ denotes the matrix norm) and $E(t,s)$, $f(t,x)$ are $T$-periodic for every $s\in R$, $x\in R\sp n$. The authors give conditions guaranteeing the existence of $T$- periodic solutions.} \RV{A.H.Nasr (Cairo) Letöltés: | Zentralblatt