Year: 2026
Type: article
Abstract: We consider the Poisson stable solutions and their exponential attractiveness for the linear difference equation z(n+1)=Az(n)+g(n) and semi-linear difference equation z(n+1)=Az(n)+G(n,z(n)). Via Shcherbakov’s comparability principle, we show that if the forcing g (respectively, G) has some Poisson stable property, there is precisely one bounded solution that shares the same recurrence character as g(respectively, G) under appropriate assumptions. Moreover, the unique Poisson stable solution exponentially attracts every other solution.
Source: Axioms
Authors: Huasong Xiao, Junfei Cao, Bing He
Institution: Guangdong University of Education
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W7124913399
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