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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
494
Downloads
759
Views
Citations
Random Attractors for the Kirchhoff-Type Suspension Bridge Equations with Strong Damping and White Noises
(Articles)
Chuangliang Qin
,
Jinji Du
,
Guoguang Lin
Int'l J. of Modern Nonlinear Theory and Application
Vol.6 No.4
,December 21, 2017
DOI:
10.4236/ijmnta.2017.64012
621
Downloads
994
Views
Citations
On Kirchhoff Problems Involving Critical Exponent and Critical Growth
(Articles)
Mohammed El Mokhtar O. El Mokhtar
,
Zeid I. Almuhiameed
Journal of Applied Mathematics and Physics
Vol.7 No.4
,April 12, 2019
DOI:
10.4236/jamp.2019.74053
376
Downloads
592
Views
Citations
Nodal Solution for a Kirchhoff-Type Problem in R
N
(Articles)
Leilei Sha
Applied Mathematics
Vol.11 No.1
,January 10, 2020
DOI:
10.4236/am.2020.111005
192
Downloads
367
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
437
Downloads
703
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
510
Downloads
827
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
323
Downloads
543
Views
Citations
Existence of Solutions for Some
p
(
x
)-polyharmonic Elliptic Kirchhoff Equations
(Articles)
Yijian Ge
Advances in Pure Mathematics
Vol.9 No.10
,October 21, 2019
DOI:
10.4236/apm.2019.910043
385
Downloads
610
Views
Citations
Boundary Stabilization of a More General Kirchhoff-Type Beam Equation
(Articles)
Jianwen Zhang
,
Danxia Wang
Int'l J. of Modern Nonlinear Theory and Application
Vol.1 No.3
,September 28, 2012
DOI:
10.4236/ijmnta.2012.13014
3,255
Downloads
5,722
Views
Citations
Global Attractor for a Class of Nonlinear Generalized Kirchhoff-Boussinesq Model
(Articles)
Penghui Lv
,
Ruijin Lou
,
Guoguang Lin
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.1
,March 17, 2016
DOI:
10.4236/ijmnta.2016.51009
2,364
Downloads
2,869
Views
Citations
Regularity of Global Attractors for the Kirchhoff Wave Equation
(Articles)
Xiaoyi Liu
,
Ping Gao
Journal of Applied Mathematics and Physics
Vol.7 No.10
,October 24, 2019
DOI:
10.4236/jamp.2019.710168
187
Downloads
292
Views
Citations
Ground States of Nonlinear Schrödinger-Kirchhoff Type Equation
(Articles)
Weidan Li
Journal of Applied Mathematics and Physics
Vol.8 No.2
,February 13, 2020
DOI:
10.4236/jamp.2020.82025
199
Downloads
402
Views
Citations
On the Exponential Decay of Solutions for Some Kirchhoff-Type Modelling Equations with Strong Dissipation
(Articles)
Yaojun Ye
Applied Mathematics
Vol.1 No.6
,December 27, 2010
DOI:
10.4236/am.2010.16070
5,385
Downloads
10,054
Views
Citations
Radar Cross Section Analysis Using Physical Optics and Its Applications to Marine Targets
(Articles)
Joon-Tae Hwang
,
Suk-Yoon Hong
,
Jee-Hun Song
,
Hyun-Wung Kwon
Journal of Applied Mathematics and Physics
Vol.3 No.2
,January 30, 2015
DOI:
10.4236/jamp.2015.32026
3,985
Downloads
4,912
Views
Citations
Four Nontrivial Solutions for Kirchhoff Problems with Critical Potential, Critical Exponent and a Concave Term
(Articles)
Mohammed El Mokhtar Ould El Mokhtar
Applied Mathematics
Vol.6 No.14
,December 30, 2015
DOI:
10.4236/am.2015.614198
3,341
Downloads
3,739
Views
Citations
Global Attractors for a Class of Generalized Nonlinear Kirchhoff-Sine-Gordon Equation
(Articles)
Ruijin Lou
,
Penghui Lv
,
Guoguang Lin
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.1
,March 17, 2016
DOI:
10.4236/ijmnta.2016.51008
2,416
Downloads
2,836
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
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.4
,November 23, 2016
DOI:
10.4236/ijmnta.2016.54018
1,099
Downloads
1,613
Views
Citations
The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term
(Articles)
Yuting Sun
,
Yunlong Gao
,
Guoguang Lin
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.4
,November 28, 2016
DOI:
10.4236/ijmnta.2016.54019
1,261
Downloads
1,719
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
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.4
,November 29, 2016
DOI:
10.4236/ijmnta.2016.54020
1,146
Downloads
1,558
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
Int'l J. of Modern Nonlinear Theory and Application
Vol.6 No.1
,February 13, 2017
DOI:
10.4236/ijmnta.2017.61002
1,196
Downloads
1,702
Views
Citations
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