Periodic solutions of abstract differential equations with infinite delay

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Periodic Solutions of Functional Dynamic Equations with Infinite Delay

In this paper, sufficient criteria are established for the existence of periodic solutions of some functional dynamic equations with infinite delays on time scales, which generalize and incorporate as special cases many known results for differential equations and for difference equations when the time scale is the set of the real numbers or the integers, respectively. The approach is mainly ba...

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Total Stability in Abstract Functional Differential Equations with Infinite Delay

Recently, authors [2] have discussed some equivalent relations for ρ-uniform stabilities of a given equation and those of its limiting equations by using the skew product flow constructed by quasi-processes on a general metric space. In 1992, Murakami and Yoshizawa [6] pointed out that for functional differential equations with infinite delay on a fading memory space B = B((−∞, 0];R) ρ-stabilit...

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 1991

ISSN: 0022-0396

DOI: 10.1016/0022-0396(91)90153-z