Abstract
In this paper, we prove the existence of solutions to nonlinear differential equations with infinite delay in Banach spaces. We construct a Fréchet space and the unique solutions are given by semigroups in this Fréchet space. Applications to partial differential equations with infinite delay are given.
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Divyabharathi, G., Sengadir, T. Fréchet phase space for nonlinear infinite delay equations in Banach spaces. Proc Math Sci 129, 67 (2019). https://doi.org/10.1007/s12044-019-0519-3
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DOI: https://doi.org/10.1007/s12044-019-0519-3