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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
5,303
Downloads
9,350
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
5,036
Downloads
7,172
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
667
Downloads
1,487
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
805
Downloads
1,401
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
823
Downloads
1,588
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
575
Downloads
1,177
Views
Citations
The Inertial Manifold for a Class of Nonlinear Higher-Order Coupled Kirchhoff Equations with Strong Linear Damping
(Articles)
Guoguang
Lin
,
Lingjuan Hu
Int'l J. of Modern Nonlinear Theory and Application
Vol.7 No.2
,June 7, 2018
DOI:
10.4236/ijmnta.2018.72003
658
Downloads
1,286
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
761
Downloads
1,339
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
674
Downloads
1,287
Views
Citations
Existence of Random Attractor Family for a Class of Nonlinear Higher-Order Kirchhoff Equations
(Articles)
Guoguang
Lin
,
Changqing Zhu
Int'l J. of Modern Nonlinear Theory and Application
Vol.8 No.2
,April 23, 2019
DOI:
10.4236/ijmnta.2019.82003
660
Downloads
1,332
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
533
Downloads
1,163
Views
Citations
A Random Attractor Family of the High Order Beam Equations with White Noise
(Articles)
Guoguang
Lin
,
Jie Liu
Int'l J. of Modern Nonlinear Theory and Application
Vol.9 No.3
,September 18, 2020
DOI:
10.4236/ijmnta.2020.93004
308
Downloads
842
Views
Citations
The Global Attractors and Dimensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Damping
(Articles)
Guoguang
Lin
,
Yalan Yang
Int'l J. of Modern Nonlinear Theory and Application
Vol.9 No.4
,November 4, 2020
DOI:
10.4236/ijmnta.2020.94005
389
Downloads
1,046
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
326
Downloads
857
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
214
Downloads
992
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
227
Downloads
656
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
187
Downloads
632
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
186
Downloads
714
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
184
Downloads
610
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
105
Downloads
511
Views
Citations
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