Almost periodic solutions and integral manifolds for weakly nonlinear nonconservative systems

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

Almost Periodic Solutions for Systems of Differential Equations near Points of Nonlinear First Approximation

are known provided the characteristic values of the matrix a = (aif) have nonzero real parts; cf., for example, [l]. Here the r¿ are uniformly a.p. in t for (x,-, • • • , x„) in some region of Euclidean «-space. Amerio [3] has obtained such conditions for somewhat more specialized systems where some characteristic values of A may be pure imaginary; however, all must be distinct from zero. In ca...

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...

Filters and the Weakly Almost Periodic Compactification of a Semitopological Semigroup

Let $S$ be a semitopological semigroup. The $wap-$ compactification of semigroup S, is a compact semitopological semigroup with certain universal properties relative to the original semigroup, and the $Lmc-$ compactification of semigroup $S$ is a universal semigroup compactification of $S$, which are denoted by $S^{wap}$ and $S^{Lmc}$ respectively. In this paper, an internal construction of ...

Time Periodic Solutions for A Pseudo-parabolic Type Equation with Weakly Nonlinear Periodic Sources

In this paper, we prove the existence of nontrivial nonnegative time periodic solutions for a pseudo-parabolic type equation with weakly nonlinear periodic sources. Moreover, we investigate the asymptotic behavior of solutions as the viscous coefficient k tends to zero.