Asymptotic behavior of linear almost periodic differential equations
Springer Proceedings in Mathematics and Statistics
Almost periodicity, Evolution semigroup, Non-autonomous equation, Perron type conditions, Strong stability
© Springer International Publishing Switzerland 2016 The present paper is concerned with strong stability of solutions of non-autonomous equations of the form Pu(t) = A(t)u(t), where A(t) is an unbounded operator in a Banach space depending almost periodically on t. A general condition on strong stability is given in terms of Perron conditions on the solvability of the associated inhomogeneous equation.
Dieu, Bui Xuan; Duc, Luu Hoang; Siegmund, Stefan; and Van Minh, Nguyen, "Asymptotic behavior of linear almost periodic differential equations" (2016). Faculty Bibliography. 3020.