Guoguang Lin - Articles - Scientific Research Publishing

Orbital Stability of Solitary Waves for Generalized Klein-Gordon-Schrodinger Equations (Articles)

Wenhui Qi, Guoguang Lin

Applied Mathematics Vol.2 No.8, August 5, 2011

DOI: 10.4236/am.2011.28139 5,572 Downloads 9,936 Views Citations
Global Attractor of Two-Dimensional Strong Damping KDV Equation and Its Dimension Estimation (Articles)

Cheng Zhang, Guoguang Lin

Applied Mathematics Vol.5 No.1, December 26, 2013

DOI: 10.4236/am.2014.51002 5,262 Downloads 7,720 Views Citations
Hausdorff Dimension and Fractal Dimension of the Global Attractor for the Higher-Order Coupled Kirchhoff-Type Equations (Articles)

Guoguang Lin, Sanmei Yang

Journal of Applied Mathematics and Physics Vol.5 No.12, December 29, 2017

DOI: 10.4236/jamp.2017.512197 811 Downloads 1,980 Views Citations
The Estimates of the Upper Bounds of Hausdorff Dimensions for the Global Attractor for a Class of Nonlinear Coupled Kirchhoff-Type Equations (Articles)

Guoguang Lin, Ming Zhang

Advances in Pure Mathematics Vol.8 No.1, January 9, 2018

DOI: 10.4236/apm.2018.81001 966 Downloads 1,910 Views Citations
Estimate on the Dimension of Global Attractor for Nonlinear Higher-Order Coupled Kirchhoff Type Equations (Articles)

Guoguang Lin, Lingjuan Hu

Advances in Pure Mathematics Vol.8 No.1, January 9, 2018

DOI: 10.4236/apm.2018.81002 1,011 Downloads 2,089 Views Citations
The Inertial Manifolds for a Class of Higher-Order Coupled Kirchhoff-Type Equations (Articles)

Guoguang Lin, Sanmei Yang

Journal of Applied Mathematics and Physics Vol.6 No.5, May 30, 2018

DOI: 10.4236/jamp.2018.65091 747 Downloads 1,690 Views Citations
The Inertial Manifold for Class Kirchhoff-Type Equations with Strongly Damped Terms and Source Terms (Articles)

Guoguang Lin, Xiangshuang Xia

Applied Mathematics Vol.9 No.6, June 29, 2018

DOI: 10.4236/am.2018.96050 954 Downloads 1,884 Views Citations
The Inertial Manifold for a Class of Nonlinear Higher-Order Coupled Kirchhoff Equations with Strong Linear Damping (Articles)

Guoguang Lin, Lingjuan Hu

International Journal of Modern Nonlinear Theory and Application Vol.7 No.2, June 7, 2018

DOI: 10.4236/ijmnta.2018.72003 807 Downloads 1,743 Views Citations
The Exponential Attractor for a Class of Kirchhoff-Type Equations with Strongly Damped Terms and Source Terms (Articles)

Guoguang Lin, Xiangshuang Xia

Journal of Applied Mathematics and Physics Vol.6 No.7, July 24, 2018

DOI: 10.4236/jamp.2018.67125 863 Downloads 1,847 Views Citations
Random Attractor Family for the Kirchhoff Equation of Higher Order with White Noise (Articles)

Guoguang Lin, Zhuoxi Li

Advances in Pure Mathematics Vol.9 No.4, April 29, 2019

DOI: 10.4236/apm.2019.94018 714 Downloads 1,645 Views Citations
Existence of Random Attractor Family for a Class of Nonlinear Higher-Order Kirchhoff Equations (Articles)

Guoguang Lin, Changqing Zhu

International Journal of Modern Nonlinear Theory and Application Vol.8 No.2, April 23, 2019

DOI: 10.4236/ijmnta.2019.82003 913 Downloads 1,899 Views Citations
A Random Attractor Family of the High Order Beam Equations with White Noise (Articles)

Guoguang Lin, Jie Liu

International Journal of Modern Nonlinear Theory and Application Vol.9 No.3, September 18, 2020

DOI: 10.4236/ijmnta.2020.93004 454 Downloads 1,256 Views Citations
The Global Attractors and Dimensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Damping (Articles)

Guoguang Lin, Yalan Yang

International Journal of Modern Nonlinear Theory and Application Vol.9 No.4, November 4, 2020

DOI: 10.4236/ijmnta.2020.94005 592 Downloads 1,572 Views Citations
Global Attractors and Their Dimension Estimates for a Class of Generalized Kirchhoff Equations (Articles)

Guoguang Lin, Lujiao Yang

Advances in Pure Mathematics Vol.11 No.4, April 25, 2021

DOI: 10.4236/apm.2021.114020 513 Downloads 1,392 Views Citations
The Dynamic Behavior of a Class of Kirchhoff Equations with High Order Strong Damping (Articles)

Guoguang Lin, Chunmeng Zhou

Journal of Applied Mathematics and Physics Vol.9 No.5, May 26, 2021

DOI: 10.4236/jamp.2021.95071 344 Downloads 1,397 Views Citations
A Family of the Global Attractor for Higher Order Nonlinear Kirchhoff Equation (Articles)

Guoguang Lin, Yingguo Wang

Open Journal of Applied Sciences Vol.11 No.6, June 30, 2021

DOI: 10.4236/ojapps.2021.116055 338 Downloads 1,090 Views Citations
The Family of Global Attractors for a Generalized Kirchhoff Equations (Articles)

Guoguang Lin, Xiaomei Liu

Open Journal of Applied Sciences Vol.11 No.7, July 20, 2021

DOI: 10.4236/ojapps.2021.117058 304 Downloads 1,037 Views Citations
A Family of the Exponential Attractors and the Inertial Manifolds for a Class of Generalized Kirchhoff Equations (Articles)

Guoguang Lin, Lujiao Yang

Journal of Applied Mathematics and Physics Vol.9 No.10, September 30, 2021

DOI: 10.4236/jamp.2021.910152 333 Downloads 1,159 Views Citations
This article belongs to the Special Issue on Nonlinear Differential Equations
A Family of the Random Attractors for a Class of Generalized Kirchhoff-Type Equations (Articles)

Guoguang Lin, Lujiao Yang

Journal of Applied Mathematics and Physics Vol.9 No.11, November 26, 2021

DOI: 10.4236/jamp.2021.911190 306 Downloads 1,016 Views Citations
The Family of Exponential Attractors and Random Attractors for a Class of Kirchhoff Equations (Articles)

Guoguang Lin, Chunmeng Zhou

Journal of Applied Mathematics and Physics Vol.9 No.12, December 27, 2021

DOI: 10.4236/jamp.2021.912205 201 Downloads 916 Views Citations

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