GLOBAL_ATTRACTOR

作品数:134被引量:200H指数:8
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相关作者:向新民黄建华谌德周婷童筱青更多>>
相关机构:上海师范大学国防科学技术大学华中师范大学云南大学更多>>
相关期刊:《Journal of Mathematical Research with Applications》《Communications in Nonlinear Science and Numerical Simulation》《Science China Mathematics》《高等学校计算数学学报》更多>>
相关基金:国家自然科学基金广东省自然科学基金中国博士后科学基金教育部留学回国人员科研启动基金更多>>
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The Global Attractor and Its Dimension Estimation of Generalized Kolmogorov-Petrovlkii-Piskunov Equation
《Journal of Applied Mathematics and Physics》2024年第4期1178-1187,共10页Yuhuai Liao 
In this paper, the initial boundary value problem of a class of nonlinear generalized Kolmogorov-Petrovlkii-Piskunov equations is studied. The existence and uniqueness of the solution and the bounded absorption set ar...
关键词:Generalized Kolmogorov-Petrovlkii-Piskunov Equation Existence of Solution Hausdorff Dimension Fractal Dimension 
Long Time Behavior of a Class of Generalized Beam-Kirchhoff Equations
《Journal of Applied Mathematics and Physics》2023年第10期2963-2981,共19页Guoguang Lin Keshun Peng 
In this paper, we study the long time behavior of a class of generalized Beam-Kirchhoff equation , and prove the existence and uniqueness of the global solution of this class of equation by Galerkin method by making s...
关键词:Beam-Kirchhoff Equation Galerkin’s Method The Family of Global Attractor Dimension Estimation 
The Solutions and the Dynamic Behavior of the Rational Difference Equations
《Journal of Applied Mathematics and Physics》2023年第2期525-540,共16页Nisreen A. Bukhary Elsayed M. Elsayed 
The main purpose of this paper is to study the dynamic behavior of the rational difference equation of the fourth order Where α, β and γ are positive constants and the initial conditions y-3, y-2
关键词:Difference Equation Local Stability Global Attractor BOUNDEDNESS PERIODIC 
The Long-Term Dynamic Behavior of Solutions to a Class of Generalized Higher-Order Kirchhoff-Type Coupled Wave Equations
《Journal of Applied Mathematics and Physics》2022年第7期2181-2199,共19页Guoguang Lin Min Shao 
In this paper, we study the long-term dynamic behavior of a class of generalized high-order Kirchhoff-type coupled wave equations. Firstly, the existence of uniqueness global solution of this kind of equations in E
关键词:Kirchhoff Equation Existence and Uniqueness of Solutions Global Attractor Family Dimension Estimation 
The Family of Global Attractors for Kirchhoff-Type Coupled Equations
《Journal of Applied Mathematics and Physics》2022年第6期2040-2060,共21页Guoguang Lin Jiaying Zhou 
This paper mainly studies the initial value problems of Kirchhoff-type coupled equations. Firstly, by giving the hypothesis of Kirchhoff stress term , the Galerkin’s method obtains the existence uniqueness of the ove...
关键词:Kirchhoff Equation the Existence and Uniqueness of Global Solution the Family of Global Attractors Hausdorff Dimension and Fractal Dimension of Global Attractor 
The Dynamic Behavior of a Class of Kirchhoff Equations with High Order Strong Damping被引量:4
《Journal of Applied Mathematics and Physics》2021年第5期1041-1055,共15页Guoguang Lin Chunmeng Zhou 
In this paper, we study the long time behavior of a class of Kirchhoff equations with high order strong dissipative terms. On the basis of the proper hypothesis of rigid term and nonlinear term of Kirchhoff equation, ...
关键词:Kirchhoff Equation Prior Estimate The Existence and Uniqueness of the Solution Family of Global Attractor Dimension Estimation 
On the Strongly Damped Wave Equations with Critical Nonlinearities
《Journal of Applied Mathematics and Physics》2016年第4期697-705,共9页Qinghua Zhang 
We study the strongly damped wave equations with critical nonlinearities. By choosing suitable state spaces, we prove sectorial property of the operator matrix  together with its adjoint operator, investigate the asso...
关键词:Negative Laplacian Wave Equation Strong Damping Sectorial Operator Fractional Power Global Attractor 
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