In this paper we introduce the notions of mean dimension and metric mean dimension for non-autonomous iterated function systems(NAIFSs for short)on countably infinite alphabets which can be regarded as generalizations...
supported by the National Natural Science Foundation of China(61833005);the Humanities and Social Science Fund of Ministry of Education of China(23YJAZH031);the Natural Science Foundation of Hebei Province of China(A2023209002,A2019209005);the Tangshan Science and Technology Bureau Program of Hebei Province of China(19130222g)。
Discrete feedback control was designed to stabilize an unstable hybrid neutral stochastic differential delay system(HNSDDS) under a highly nonlinear constraint in the H_∞ and exponential forms.Nevertheless,the existi...
supported by State Key Laboratory of Chemical Biology.
Cytosolic double-stranded DNA(dsDNA)is frequently accumulated in cancer cells due to chromosomal instability or exogenous stimulation.Cyclic GMP-AMP synthase(cGAS)acts as a cytosolic DNA sensor,which is activated upon...
Supported by the National Natural Science Foundation of China(Grant Nos.11961059;12101502);the University Innovation Project of Gansu Province(Grant No.2023B-062)。
In this paper,we mainly consider the long-time behavior of stochastic non-autonomous suspension bridge equation by linear multiplicative white noise with small coefficient.First step,the well-posedness for the cocycle...
The existence of mild solutions for non-autonomous evolution equations with nonlocal conditions in Banach space is studied in this article. We obtained the existence of at least one mild solution to the evolution equa...
The research was supported by the National Key R&D Program of China(Grant No.2020YFA0714101);by the National Natural Science Foundation of China(Grant No.11925105);by the Graduate Innovation Fund of jilin University.
This paper concerns the convergence rate of solutions to a hyperbolic equation with p(x)-Laplacian operator and non-autonomous damping.We apply the Faedo-Galerkin method to establish the existence of global solutions,...
supported by the National Natural Science Foundation of China(Grant Nos.62003003 and 62073076);the Natural Science Foundation of Anhui Province(Grant No.2008085QF304);the Talent Programme of Anhui Province for Young Scholars。
Achieving asymptotical cooperative goal for multi-agent systems(MASs)with non-autonomous leaders(i.e.,leaders with nonzero inputs)is a critical but challenging issue.Traditional approach is to use discontinuous contro...
In this paper,we investigate the dynamical behavior for a hybrid non-autonomous predator-prey system with Holling Type II functional response,impulsive effects and generalist predator on time scales,where our proposed...
The oscillatory motion on the ocean surface is a combination of a variety of different types of waves.The regularized waves are among them.Here,it is shown that they arise as solutions of the(1+2)-dimensional Benjamin...
supported by National Science Foundation of USA(Grant No.DMS1645673);supported by National Natural Science Foundation of China(Grant Nos.11825106,11771414 and 12090012);Wu Wen-Tsun Key Laboratory of Mathematics,Chinese Academy of Sciences and University of Science and Technology of China;supported by National Natural Science Foundation of China(Grant Nos.11971232,12071217 and 11601498);the Chinese Scholarship Council(Grant No.201906845011)for its financial support。
In this paper,we consider the asymptotic dynamics of the skew-product semiflow generated by the following time almost periodically-forced scalar reaction-diffusion equation:u_(t)=u_(xx)+f(t,u,u_(x)),t>0,0