2 research outputs found
Stepanov-like Weighted Pseudo-Almost Automorphic Solutions on Time Scales for a Novel High-order BAM Neural Network with Mixed Time-varying Delays in the Leakage Terms
We first propose the concept of Stepanov-like weighted pseudo-almost
automorphic on time-space scales and we apply this type of oscillation to
high-order BAM neural networks with mixed delays. Then, we study the existence
and exponential stability of Sp-weighted pseudo almost automorphic on
time-space scales solutions for the suggested system. Some criteria assuring
the convergence are proposed. Our method is mainly based on the Banachs fixed
point theorem, the theory of calculus on time scales and the
Lyapunov-Krasovskii functional method. Moreover, a numerical example is given
to show the effectiveness of the main results.Comment: 40 page
On the piecewise pseudo almost periodic solution of nondensely impulsive integro-differential systems with infinite delay
In the theory of neutral differential equations with pulse influence (neutral
impulsive differential equations), there are many unsolved problems related to
certain results in the theory of integral and integro-differential equations.
In this article, we present an result for the existence of the piecewise pseudo
almost periodic solution of a class of neutral impulsive nonlinear
integro-differential systems with infinite delay. The method used involves
result on the theory of integrated semigroup as well as the Sadovskii's fixed
point theorem