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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 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
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
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
132
Downloads
549
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
1,405
Downloads
2,299
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
1,460
Downloads
2,476
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
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
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
926
Downloads
1,693
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
468
Downloads
1,055
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 Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part I: Higher-Order Regular, Smooth and Rapid Variation
(Articles)
Antonio Granata
Advances in Pure Mathematics
Vol.6 No.12
,November 10, 2016
DOI:
10.4236/apm.2016.612063
1,373
Downloads
2,344
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
2,547
Downloads
4,227
Views
Citations
Complements to the Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions
(Articles)
Antonio Granata
Advances in Pure Mathematics
Vol.9 No.5
,May 29, 2019
DOI:
10.4236/apm.2019.95022
1,111
Downloads
1,708
Views
Citations
The Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part II: Algebraic Operations and Types of Exponential Variation
(Articles)
Antonio Granata
Advances in Pure Mathematics
Vol.6 No.12
,November 11, 2016
DOI:
10.4236/apm.2016.612064
1,365
Downloads
2,377
Views
Citations
High Order Central Schemes Applied to Relativistic Multi-Component Flow Models
(Articles)
Tayabia Ghaffar
,
Muhammad Yousaf
,
Saira Sultan
,
Shamsul Qamar
Applied Mathematics
Vol.5 No.8
,May 5, 2014
DOI:
10.4236/am.2014.58109
3,779
Downloads
5,063
Views
Citations
Higher Order Solitary Wave Solutions of the Standard KdV Equations
(Articles)
Clovis Taki Djeumen Tchaho
,
Hugues Martial Omanda
,
Gaston N’tchayi Mbourou
,
Jean Roger Bogning
,
Timoléon Crépin Kofané
Open Journal of Applied Sciences
Vol.11 No.1
,January 29, 2021
DOI:
10.4236/ojapps.2021.111008
448
Downloads
1,466
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
116
Downloads
583
Views
Citations
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
7,905
Downloads
13,541
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
99
Downloads
371
Views
Citations
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