The Existence and Stability of Synchronizing Solution of Non-Autonomous Equations with Multiple Delays
نویسندگان
چکیده
In this paper, we consider an abstract non-autonomous evolution equation with multiple delays in a Hilbert space H: ′ 1 ( ) ( ) ( ( ), , ( )) ( ), n u t Au t F u t r u t r g t + = − ... − + where : ( ) A D A H H ⊂ → is a positive definite selfadjoint operator, : n F H H → α is a nonlinear mapping, 1 , , n r r ... are nonnegative constants, and ( ) ( ; ) g t C H ∈ is bounded. Motivated by [1] [2], we obtain the existence and stability of synchronizing solution under some convergence condition. By this result, we provide a general approach for guaranteeing the existence and stability of periodic, quasiperiodic or almost periodic solution of the equation.
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تاریخ انتشار 2016