Department of Mathematics, Yunnan University, Kunming, China - Articles

Hopf Bifurcations in a Predator-Prey System of Population Allelopathy with Discrete Delay (Articles)

Xinhui Wang, Haihong Liu

Applied Mathematics Vol.3 No.6, June 27, 2012

DOI: 10.4236/am.2012.36099 4,587 Downloads 9,043 Views Citations
Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto-Sivashinsky Equation (Articles)

Meixia Wang, Cuicui Tian, Guoguang Lin

International Journal of Modern Nonlinear Theory and Application Vol.3 No.4, September 24, 2014

DOI: 10.4236/ijmnta.2014.34018 2,696 Downloads 3,918 Views Citations
The Global Attractors of the Solution for 2D Maxwell-Navier-Stokes with Extra Force Equations (Articles)

Cuicui Tian, Meixia Wang, Guoguang Lin

International Journal of Modern Nonlinear Theory and Application Vol.3 No.5, November 17, 2014

DOI: 10.4236/ijmnta.2014.35024 3,514 Downloads 4,642 Views Citations
Global Attractors and Dimension Estimation of the 2D Generalized MHD System with Extra Force (Articles)

Zhaoqin Yuan, Liang Guo, Guoguang Lin

Applied Mathematics Vol.6 No.4, April 29, 2015

DOI: 10.4236/am.2015.64068 3,045 Downloads 3,967 Views Citations
Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms (Articles)

Liang Guo, Zhaoqin Yuan, Guoguang Lin

Applied Mathematics Vol.6 No.5, May 14, 2015

DOI: 10.4236/am.2015.65076 3,211 Downloads 4,789 Views Citations
The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms (Articles)

Liang Guo, Zhaoqin Yuan, Guoguang Lin

International Journal of Modern Nonlinear Theory and Application Vol.4 No.2, June 24, 2015

DOI: 10.4236/ijmnta.2015.42010 3,972 Downloads 5,202 Views Citations
Inertial Manifolds for 2D Generalized MHD System (Articles)

Zhaoqin Yuan, Liang Guo, Guoguang Lin

International Journal of Modern Nonlinear Theory and Application Vol.4 No.3, August 20, 2015

DOI: 10.4236/ijmnta.2015.43014 3,765 Downloads 4,616 Views Citations
The Global Attractors and Their Hausdorff and Fractal Dimensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Linear Damping (Articles)

Yunlong Gao, Yuting Sun, Guoguang Lin

International Journal of Modern Nonlinear Theory and Application Vol.5 No.4, November 23, 2016

DOI: 10.4236/ijmnta.2016.54018 1,551 Downloads 2,634 Views Citations
Approximate Inertial Manifold for a Class of the Kirchhoff Wave Equations with Nonlinear Strongly Damped Terms (Articles)

Chengfei Ai, Huixian Zhu, Guoguang Lin

International Journal of Modern Nonlinear Theory and Application Vol.5 No.4, November 29, 2016

DOI: 10.4236/ijmnta.2016.54020 1,627 Downloads 2,563 Views Citations
On Local Existence and Blow-Up of Solutions for Nonlinear Wave Equations of Higher-Order Kirchhoff Type with Strong Dissipation (Articles)

Guoguang Lin, Yunlong Gao, Yuting Sun

International Journal of Modern Nonlinear Theory and Application Vol.6 No.1, February 13, 2017

DOI: 10.4236/ijmnta.2017.61002 1,585 Downloads 2,820 Views Citations
The Solution of Yang-Mills Equations on the Surface (Articles)

Peng Zhu, Liyuan Ding

Applied Mathematics Vol.8 No.1, January 23, 2017

DOI: 10.4236/am.2017.81004 1,567 Downloads 3,017 Views Citations
Random Attractor of the Stochastic Strongly Damped for the Higher-Order Nonlinear Kirchhoff-Type Equation (Articles)

Guoguang Lin, Ling Chen, Wei Wang

International Journal of Modern Nonlinear Theory and Application Vol.6 No.2, June 14, 2017

DOI: 10.4236/ijmnta.2017.62005 1,399 Downloads 2,341 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 761 Downloads 1,833 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 913 Downloads 1,740 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 941 Downloads 1,916 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 682 Downloads 1,499 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 876 Downloads 1,675 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 793 Downloads 1,654 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 642 Downloads 1,470 Views Citations
Transcendental Meromorphic Functions Whose First Order Derivatives Have Finitely Many Zeros (Articles)

Feng Guo

Advances in Pure Mathematics Vol.9 No.11, November 14, 2019

DOI: 10.4236/apm.2019.911045 604 Downloads 1,515 Views Citations

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