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Li, D., Wei, J. and Wang, J. (2013) On the Dynamics of Abstract Retarded Evolution Equations. Abstract and Applied Analysis, 2013, 9 p.

has been cited by the following article:

• TITLE: The Existence and Stability of Synchronizing Solution of Non-Autonomous Equations with Multiple Delays

  AUTHORS: Jinying Wei, Yongjun Li, Xiaohua Zhuo

  KEYWORDS: Pullback Attractor, Cocycle System, Stability, Synchronizing Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.7, July 25, 2016

  ABSTRACT: In this paper, we consider an abstract non-autonomous evolution equation with multiple delays in a Hilbert space H: u'(t) + Au(t) = F(u(t-r1),...,u((t-rn)) + g(t),where A: D(A)?H→His a positive definite selfadjoint operator, F: Hna→ His a nonlinear mapping, r1,...,rnare 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.