Existence and Exponential Stability of Almost Periodic Solutions to General BAM Neural Networks with Leakage Delays on Time Scales

DONG Yan-shou, HAN Yan, DAI Ting-ting

doi:10.13371/j.cnki.chin.q.j.m.2022.02.008

Chinese Quarterly Journal of Mathematics >

2022 , Vol. 37 >Issue 2: 189 - 202

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2022.02.008

Existence and Exponential Stability of Almost Periodic Solutions to General BAM Neural Networks with Leakage Delays on Time Scales

Expand

School of Mathematics and Statistics, Zhaotong University,

DONG Yan-shou (1985-), male, native of Zhaotong, Yunnan, lecturer of Zhaotong University, engages in differential equations and its applications; HAN Yan (1986-), female, native of Huanggang, Hubei, associate professor of Zhaotong University, engages in nonlinear functional analysis; DAI Ting-ting (1986-), female, native of Qingyang, Gansu, lecturer of Zhaotong University, engages in neural networks.

Received date: 2022-01-30

Online published: 2022-06-21

Supported by

Partially supported by the Special Basic Cooperative Research Programs of Yunnan
Provincial Undergraduate Universities’ Association (Grant No. 202101BA070001-045).

Fold

Abstract

In this paper, the existence of almost periodic solutions to general BAM neural
networks with leakage delays on time scales is first studied, by using the exponential
dichotomy method of linear differential equations and fixed point theorem. Then, the
exponential stability of almost periodic solutions to such BAM neural networks on time
scales is discussed by utilizing differential inequality. Finally, an example is given to
support our results in this paper and the results are up-to-date.

Key words： ; Almost periodic solution; Neural network; Time scale; Leakage delay;
Existence and exponential stability

Cite this article

DONG Yan-shou, HAN Yan, DAI Ting-ting . Existence and Exponential Stability of Almost Periodic Solutions to General BAM Neural Networks with Leakage Delays on Time Scales[J]. Chinese Quarterly Journal of Mathematics, 2022 , 37(2) : 189 -202 . DOI: 10.13371/j.cnki.chin.q.j.m.2022.02.008

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article