PERIODIC_SOLUTION

作品数:360被引量:346H指数:7
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相关机构:北京理工大学东南大学北方交通大学河北经贸大学更多>>
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Periodic solution of parabolic equations and stochastic process
《Applied Mathematics(A Journal of Chinese Universities)》2025年第1期78-84,共7页WANG Xiao-huan 
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...
关键词:periodic solutions It^o's formula stochastic process 
A GENERAL AVERAGING METHOD FOR AFFINE PERIODIC SOLUTIONS
《Acta Mathematica Scientia》2024年第6期2207-2224,共18页Xue YANG Jiamin XING Yong LI 
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...
关键词:affine-periodic solution perturbed system Brouwer degree averaging method 
Dynamics and Exact Solutions of (1 + 1)-Dimensional Generalized Boussinesq Equation with Time-Space Dispersion Term
《Journal of Applied Mathematics and Physics》2024年第8期2723-2737,共15页Dahe Feng Jibin Li Jianjun Jiao 
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 ...
关键词:Generalized Boussinesq Equation Improved Sub-Equation Method BIFURCATION Soliton Solution Periodic Solution 
ON THE STABILITY OF PERIODIC SOLUTIONS OF PIECEWISE SMOOTH PERIODIC DIFFERENTIAL EQUATIONS
《Acta Mathematica Scientia》2024年第4期1524-1535,共12页Maoan HAN Yan YE 
supported by the NSFC(11931016)。
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...
关键词:periodic solution Poincarémap periodic equation stability 
A class of natural pinus koraiensis population system with time delay and diffusion term
《International Journal of Biomathematics》2024年第2期233-262,共30页Guo-Feng Feng Jiaqi Chen Bin Ge 
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...
关键词:Pinus koraiensis populations DELAY diffusion term Hopf bifurcation periodic solution 
Dynamical behavior of a mosquito population suppression model composed of two sub-models
《International Journal of Biomathematics》2023年第7期141-163,共23页Mingzhan Huang Xiaohuan Yu Shouzong Liu Xinyu Song 
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...
关键词:Population suppression model periodic solution EXTINCTION stability 
Analytical three-periodic solutions of Korteweg-de Vries-type equations
《Chinese Physics B》2023年第9期229-236,共8页陈觅 王振 
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 ...
关键词:Hirota bilinear method Riemann theta function three-periodic solution 
Dynamical Analysis of Nonautonomous Trophic Cascade Chemostat Model with Regime Switching and Nonlinear Perturbations in a Polluted Environment
《Acta Mathematicae Applicatae Sinica》2023年第3期550-570,共21页Ya-jie LI Hao-kun QI Zheng-bo CHANG Xin-zhu MENG 
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...
关键词:stochastic trophic cascade chemostat model Markov chain extinction and stochastic permanence periodic solution ERGODICITY 
TIME PERIODIC SOLUTIONS TO THE EVOLUTIONARY OSEEN MODEL FOR A GENERALIZED NEWTONIAN INCOMPRESSIBLE FLUID
《Acta Mathematica Scientia》2023年第4期1645-1667,共23页岑金夏 Stanislaw MIGóRSKI Emilio VILCHES 曾生达 
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...
关键词:nonstationary Oseen model Newtonian incompressible fluid hemivariational inequality periodic solution generalized subgradient 
Mountain pass solutions to a generalized Frenkel-Kontorova model
《Science China Mathematics》2022年第6期1293-1318,共26页Wen-Long Li 
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...
关键词:mountain pass solution periodic solution heteroclinic solution Frenkel-Kontorova model 
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