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This article concerns Liénard-type systems with time-varying de-lays. By applying the theory of exponential dichotomies, the properties of pseudo almost periodic function, inequality analysis techniques, and contrac tion mapping principle, new criteria for the existence and uniqueness of pseudo almost periodic solutions are established. An example is given to illustrate the theoretical findings. [ABSTRACT FROM AUTHOR]

In this article we study a cellular neural network with impulsive effects. By using differential inequality techniques, we obtain verifiable crite- ria on the existence and exponential stability of anti-periodic solutions. An example is included to illustrate the feasibility and of our main results. [ABSTRACT FROM AUTHOR]

Applying a frequency domain approach, we investigate a phytoplankton model with time delay. We use the delay as a bifurcation parameter; as it passes through a sequence of critical values, Hopf bifurcation occurs. A family of periodic solutions bifurcate from the equilibrium when the bifurcation parameter exceeds a critical value. Some numerical simulations illustrate our theoretical results. [ABSTRACT FROM AUTHOR]