Abstract
A topological structure of the set of all mild solutions of fractional neutral evolution equations with finite delay on the half-line is investigated. We show that the solution set is an R$_\delta$-set. It is proved on compact intervals by establishing a result on topological structure of fixed point set of Krasnosel'skiĭ type operators. Next, using the inverse limit method, we obtain the same result on the half-line.
Citation
Le Hoan Hoa. Nguyen Ngoc Trong. Le Xuan Truong. "Topological structure of solution set for a class of fractional neutral evolution equations on the half-line." Topol. Methods Nonlinear Anal. 48 (1) 235 - 255, 2016. https://doi.org/10.12775/TMNA.2016.044
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