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• W2040897169 abstract "In this paper, we discuss the existence and asymptotic stability of the time periodic solution for the evolution equation with multiple delays in a Hilbert space Hu′(t)+Au(t)=F(t,u(t),u(t−τ1),…,u(t−τn)),t∈R, where A:D(A)⊂H→H is a positive definite selfadjoint operator, F:R×Hn+1→H is a nonlinear mapping which is ω-periodic in t, and τ1,τ2,…,τn are positive constants. We present essential conditions on the nonlinearity F to guarantee that the equation has ω-periodic solutions or an asymptotically stable ω-periodic solution. The discussion is based on analytic semigroups theory and an integral inequality with delays." @default.
• W2040897169 created "2016-06-24" @default.
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• W2040897169 date "2011-09-01" @default.
• W2040897169 modified "2023-10-01" @default.
• W2040897169 title "Existence and asymptotic stability of periodic solution for evolution equations with delays" @default.
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• W2040897169 doi "https://doi.org/10.1016/j.jfa.2011.05.001" @default.
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