Supported by the National Natural Science Foundation of China(12171247)。
In this short paper, we first establish the existence of periodic solutions to parabolic equation in the whole space by using the probability method. Then, the periodicity of some function of stochastic process is als...
supported by the National Natural Science Foundation of China(12371191;12071175);supported by the NSFC(12071175;11901080);supported by the NSFC(12071175);the Fundamental Research Funds For the Central Universities(2412023YQ003);the Natural Science Foundation of Jilin Province(20200201253JC)。
We consider the persistence of affine periodic solutions for perturbed affine periodic systems.Such(Q,T)-affine periodic solutions have the form x(t+T)=Qx(t)for all t∈R,where T>0 is fixed and Q is a nonsingular matri...
We study exact solutions to (1 + 1)-dimensional generalized Boussinesq equation with time-space dispersion term by making use of improved sub-equation method, and analyse the dynamical behavior and exact solutions of ...
In this paper,we address the stability of periodic solutions of piecewise smooth periodic differential equations.By studying the Poincarémap,we give a sufficient condition to judge the stability of a periodic solutio...
supported by the National Natural Science Foundation of China(No.11201095);the Fundamental Research Funds for the Central Universities(No.3072022TS2402);the Postdoctoral research startup foundation of Heilongjiang(No.LBH-Q14044);the Science Research Funds for Overseas Returned Chinese Scholars of Heilongjiang Province(No.LC201502).
In this paper,we consider the long-term sustainability of the northeast Korean pine.We propose a class of natural Korean pine population system with time delay and diffusion term.First,by analyzing the roots distribut...
This work is supported by the National Natural Science Foundation of China(12071407,11901502);Training plan for young backbone teachers in Henan Province(2019GGJS157);Program for Science&Technology Innovation Talents in Universities of Henan Province(21HASTIT026);Program for Innovative Research Team(in Science and Technology)in the University of Henan Province(21IRTSTHN014);Natural Science Foundation of Henan Province(222300420016).
In this paper,a new mosquito population suppression model with stage and sex structure is constructed,which is composed of two sub-models switching each other.Sterile mosquitoes are released with period T and remain s...
the National National Science Foundation of China(Grant Nos.52171251,U2106225,and 52231011);the Science and Technology Innovation Fund of Dalian City(Grant No.2022JJ12GX036)。
Based on the direct method of calculating the periodic wave solution proposed by Nakamura,we give an approximate analytical three-periodic solutions of Korteweg-de Vries(KdV)-type equations by perturbation method for ...
the National Natural Science Foundation of China (No.12271308);the Research Fund for the Taishan Scholar Project of Shandong Province of China;Shandong Provincial Natural Science Foundation of China (ZR2019MA003)。
This paper investigates the stochastic dynamics of trophic cascade chemostat model perturbed by regime switching, Gaussian white noise and impulsive toxicant input. For the system with only white noise interference, s...
the NSF of Guangxi(2021GXNSFFA196004,GKAD23026237);the NNSF of China(12001478);the China Postdoctoral Science Foundation(2022M721560);the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECH;the National Science Center of Poland under Preludium Project(2017/25/N/ST1/00611);the Startup Project of Doctor Scientific Research of Yulin Normal University(G2020ZK07);the Ministry of Science and Higher Education of Republic of Poland(4004/GGPJII/H2020/2018/0,440328/Pn H2/2019)。
In this paper we study a nonstationary Oseen model for a generalized Newtonian incompressible fluid with a time periodic condition and a multivalued,nonmonotone friction law.First,a variational formulation of the mode...
supported by the Fundamental Research Funds for the Central Universities(Grant No.34000-31610274)。
We study a generalized Frenkel-Kontorova model and obtain periodic and heteroclinic mountain pass solutions.The heteroclinic mountain pass solution in the second laminations is new to the generalized Frenkel-Kontorova...