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- W2149806427 abstract "Synopsis We establish the existence of solutions in a weak sense of where t Є J = [0, T ] and′ = d/dt . It is supposed that the unbounded, linear operators A ( t ) generate analytic and compact semigroups on a Hilbert space H and that B ( t, x ) are bounded linear operators. The function f ( t, x ) with values in H may have asymptotically sublinear growth. We prove the existence of a periodic solution with the help of Schauder’s fixed point theorem. Accordingly, we first verify that the corresponding linearized version of (0.1), has a unique solution for each square integrable ψ( t ), provided that the homogeneous problem has only the zero solution." @default.
- W2149806427 created "2016-06-24" @default.
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- W2149806427 date "1983-01-01" @default.
- W2149806427 modified "2023-09-23" @default.
- W2149806427 title "Periodic solutions of time-dependent, semilinear evolution equations of compact type" @default.
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- W2149806427 doi "https://doi.org/10.1017/s0308210500015766" @default.
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