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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
761
Downloads
1,323
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
891
Downloads
1,639
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
411
Downloads
960
Views
Citations
A Family of the Inertial Manifolds for a Class of Generalized Kirchhoff-Type Coupled Equations
(Articles)
Guoguang Lin
,
Jiaying Zhou
Open Journal of Applied Sciences
Vol.12 No.7
,July 7, 2022
DOI:
10.4236/ojapps.2022.127076
95
Downloads
445
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
643
Downloads
1,384
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
785
Downloads
1,538
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
545
Downloads
1,146
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
191
Downloads
566
Views
Citations
Sign-Changing Solutions for Superlinear Kirchhoff Type Problem via the Nehari Method
(Articles)
Xiaohan Duan
,
Guanggang Liu
Journal of Applied Mathematics and Physics
Vol.11 No.7
,July 27, 2023
DOI:
10.4236/jamp.2023.117132
69
Downloads
267
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
3,512
Downloads
6,329
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
5,796
Downloads
11,040
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
1,365
Downloads
2,246
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
1,430
Downloads
2,388
Views
Citations
Multiple Solutions to the Problem of Kirchhoff Type Involving the Critical Caffareli-Kohn-Niremberg Exponent, Concave Term and Sign-Changing Weights
(Articles)
Mohammed El Mokhtar Ould El Mokhtar
Applied Mathematics
Vol.8 No.11
,November 30, 2017
DOI:
10.4236/am.2017.811123
857
Downloads
1,689
Views
Citations
Existence of Infinitely Many High Energy Solutions for a Fourth-Order Kirchhoff Type Elliptic Equation in R
3
(Articles)
Ting Xiao
,
Canlin Gan
,
Qiongfen Zhang
Journal of Applied Mathematics and Physics
Vol.8 No.8
,August 20, 2020
DOI:
10.4236/jamp.2020.88120
522
Downloads
1,062
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
336
Downloads
950
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
156
Downloads
655
Views
Citations
This article belongs to the Special Issue on
Nonlinear Differential Equations
An Algorithm to Optimize the Calculation of the Fourth Order Runge-Kutta Method Applied to the Numerical Integration of Kinetics Coupled Differential Equations
(Articles)
Sadao Isotani
,
Walter Maigon Pontuschka
,
Seiji Isotani
Applied Mathematics
Vol.3 No.11
,November 7, 2012
DOI:
10.4236/am.2012.311218
7,763
Downloads
13,682
Views
Citations
On the Meromorphic Solutions of Fermat-Type Differential Equations
(Articles)
Dengfeng Liu
,
Biao Pan
Journal of Applied Mathematics and Physics
Vol.10 No.9
,September 30, 2022
DOI:
10.4236/jamp.2022.109188
101
Downloads
438
Views
Citations
This article belongs to the Special Issue on
Ordinary Differential Equations and Its Applications
Closed virial equations for hard parallel cubes andsquares
(Articles)
Leslie V. Woodcock
Natural Science
Vol.3 No.7
,July 29, 2011
DOI:
10.4236/ns.2011.37085
5,239
Downloads
9,200
Views
Citations
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