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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
1,354
Downloads
2,225
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
1,496
Downloads
2,285
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
1,427
Downloads
2,377
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
329
Downloads
935
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
640
Downloads
1,373
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
770
Downloads
1,503
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
542
Downloads
1,137
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
616
Downloads
1,194
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
2,826
Downloads
5,100
Views
Citations
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
587
Downloads
1,751
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
2,498
Downloads
4,151
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
844
Downloads
2,084
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
166
Downloads
1,600
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
90
Downloads
460
Views
Citations
A Class of Lie 2-Algebras in Higher-Order Courant Algebroids
(Articles)
Yanhui Bi
,
Fengying Han
,
Meili Sun
Journal of Applied Mathematics and Physics
Vol.4 No.7
,July 22, 2016
DOI:
10.4236/jamp.2016.47131
1,263
Downloads
2,173
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
394
Downloads
821
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
148
Downloads
556
Views
Citations
Ground State Solutions for p-Fractional Choquard-Kirchhoff Equations Involving Electromagnetic Fields and Critical Nonlinearity
(Articles)
Xueqian Yan
Open Access Library Journal
Vol.9 No.6
,June 15, 2022
DOI:
10.4236/oalib.1108837
69
Downloads
465
Views
Citations
The Long-Term Dynamic Behavior of Solutions to a Class of Generalized Higher-Order Kirchhoff-Type Coupled Wave Equations
(Articles)
Guoguang Lin
,
Min Shao
Journal of Applied Mathematics and Physics
Vol.10 No.7
,July 21, 2022
DOI:
10.4236/jamp.2022.107150
67
Downloads
317
Views
Citations
Multiparameter Higher Order Daehee and Bernoulli Numbers and Polynomials
(Articles)
Beih S. El-Desouky
,
Abdelfattah Mustafa
,
Fatma M. Abdel-Moneim
Applied Mathematics
Vol.8 No.6
,June 8, 2017
DOI:
10.4236/am.2017.86060
1,293
Downloads
2,136
Views
Citations
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