On Almost Periodic Solutions for Undamped Systems with Almost Periodic Forcing

Almost Periodic Solutions of Second Order Nonlinear Differential Equations with Almost Periodic Forcing

Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs

This paper deals with fuzzy cellular neural networks (FCNNs) with leakage delays and proportional delays. Applying the differential inequality strategy, fixed point theorem and almost periodic function principle, some sufficient criteria which ensure the existence and global attractivity of a unique almost periodic solution for fuzzy cellular neuralnetworks with leakage delays and p...

Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales

and Applied Analysis 3 A function p : T → R is called regressive provided 1 μ t p t / 0 for all t ∈ T. The set of all regressive and rd-continuous functions p : T → R will be denoted by R R T R T,R . We define the set R R T,R {p ∈ R : 1 μ t p t > 0, for all t ∈ T}. An n × n-matrix-valued function A on a time scale T is called regressive provided I μ t A t is invertible ∀t ∈ T, 2.4 and the class...

Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales

* Correspondence: [email protected]. cn Department of Mathematics, Yunnan University Kunming, Yunnan 650091, People’s Republic of China Abstract In this paper, we first introduce a concept of the mean-value of uniformly almost periodic functions on time scales and give some of its basic properties. Then, we propose a concept of pseudo almost periodic functions on time scales and study some basic pr...

Almost Periodic Solutions in Control Systems with Monotone Nonlinearities

We investigate control systems as variational equations in non-standard chains of rigged Hilbert spaces. Monotonicity properties of nonlinearities are introduced with respect to such riggings generated by Lyapunov operators and invariant cones. Sufficient frequency domain conditions for boundedness and the existence of Bohr and Stepanov almost periodic solutions are derived. As an example we co...