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math.DS2024
Existence of bounded asymptotic solutions of autonomous differential equations
Vu Trong Luong, William Barker, Nguyen Duc Huy +1
We study the existence of bounded asymptotic mild solutions to evolution equations of the form in a Banach space $\X$, where generates an (analytic)…
math.DS2024
A generation theorem for the perturbation of strongly continuous semigroups by unbounded operators
Xuan-Quang Bui, Nguyen Duc Huy, Vu Trong Luong +1
In this paper we study the well-posedness of the evolution equation of the form , , where is the generator of a - semigroup and is a (possib…