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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
1,373
Downloads
2,196
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
1,433
Downloads
2,348
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
348
Downloads
911
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
644
Downloads
1,367
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
1,512
Downloads
2,269
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
792
Downloads
1,461
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
549
Downloads
1,083
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
627
Downloads
1,181
Views
Citations
Existence of Nonoscillatory Solutions of a Class of Nonlinear Dynamic Equations with a Forced Term
(Articles)
Shanliang Zhu
,
Xinli Zhang
Open Journal of Discrete Mathematics
Vol.2 No.4
,November 1, 2012
DOI:
10.4236/ojdm.2012.24035
2,842
Downloads
5,122
Views
Citations
Higher-Order Duality for Minimax Fractional Type Programming Involving Symmetric Matrices
(Articles)
Caiyun Jin
,
Cao-Zong Cheng
Applied Mathematics
Vol.2 No.11
,November 30, 2011
DOI:
10.4236/am.2011.211196
3,668
Downloads
7,041
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
5,803
Downloads
10,898
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
535
Downloads
979
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
160
Downloads
607
Views
Citations
This article belongs to the Special Issue on
Nonlinear Differential Equations
Exact Solutions for a Class of Nonlinear PDE with Variable Coefficients Using ET and ETEM
(Articles)
Shifei Sun
,
Lina Chang
,
Hanze Liu
Journal of Applied Mathematics and Physics
Vol.7 No.11
,November 5, 2019
DOI:
10.4236/jamp.2019.711183
600
Downloads
1,624
Views
Citations
Galerkin-Bernstein Approximations for the System of Third-Order Nonlinear Boundary Value Problems
(Articles)
Snigdha Dhar
,
Md. Shafiqul Islam
Journal of Applied Mathematics and Physics
Vol.12 No.6
,June 19, 2024
DOI:
10.4236/jamp.2024.126127
11
Downloads
62
Views
Citations
Higher-Order Numerical Solution of Two-Dimensional Coupled Burgers’ Equations
(Articles)
T. Zhanlav
,
O. Chuluunbaatar
,
V. Ulziibayar
American Journal of Computational Mathematics
Vol.6 No.2
,June 16, 2016
DOI:
10.4236/ajcm.2016.62013
2,516
Downloads
4,076
Views
Citations
Travelling Solitary Wave Solutions to Higher Order Korteweg-de Vries Equation
(Articles)
Chunhuan Xiang
,
Honglei Wang
Open Journal of Applied Sciences
Vol.9 No.5
,May 23, 2019
DOI:
10.4236/ojapps.2019.95029
847
Downloads
1,931
Views
Citations
Solution of a One-Dimension Heat Equation Using Higher-Order Finite Difference Methods and Their Stability
(Articles)
M. Emran Ali
,
Wahida Zaman Loskor
,
Samia Taher
,
Farjana Bilkis
Journal of Applied Mathematics and Physics
Vol.10 No.3
,March 24, 2022
DOI:
10.4236/jamp.2022.103060
179
Downloads
1,608
Views
Citations
Bach-Einstein Gravitational Field Equations as a Perturbation of Einstein Gravitational Field Equations
(Articles)
Fathy Ibrahim Abdel-Bassier
,
Ahmed Fouad Abdel-Wahab
,
Fayrouz Mostafa Abdel-Maboud
Applied Mathematics
Vol.13 No.12
,December 30, 2022
DOI:
10.4236/am.2022.1312063
96
Downloads
456
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
766
Downloads
1,282
Views
Citations
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