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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 1,098 Downloads 1,600 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
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 77 Downloads 211 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 436 Downloads 703 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 1,258 Downloads 1,714 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 829 Views Citations
The Inertial Manifolds for a Class of Higher-Order Coupled Kirchhoff-Type Equations (Articles)
Journal of Applied Mathematics and Physics Vol.6 No.5，May 30, 2018
DOI: 10.4236/jamp.2018.65091 322 Downloads 539 Views Citations
The Inertial Manifold for a Class of Nonlinear Higher-Order Coupled Kirchhoff Equations with Strong Linear Damping (Articles)
Int'l J. of Modern Nonlinear Theory and Application Vol.7 No.2，June 7, 2018
DOI: 10.4236/ijmnta.2018.72003 406 Downloads 641 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 2,650 Downloads 4,686 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 5,387 Downloads 10,058 Views Citations
Existence of Infinitely Many High Energy Solutions for a Fourth-Order Kirchhoff Type Elliptic Equation in R3 (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 242 Downloads 379 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 3,269 Downloads 6,350 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 220 Downloads 409 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 2,206 Downloads 3,145 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 545 Downloads 1,045 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
DOI: 10.4236/apm.2018.81001 494 Downloads 758 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 1,003 Downloads 1,534 Views Citations
A Simplified Nonlinear Generalized Maxwell Model for Predicting the Time Dependent Behavior of Viscoelastic Materials (Articles)
Marc Delphin Monsia
World Journal of Mechanics Vol.1 No.3，July 6, 2011
DOI: 10.4236/wjm.2011.13021 9,944 Downloads 20,637 Views Citations
Self-accelerating two-step Steffensen-type methods with memory and their applications on the solution of nonlinear BVPs (Articles)
Quan Zheng, Xiuhui Guo, Fengxi Huang
Open Journal of Applied Sciences Vol.2 No.4B，January 14, 2013
DOI: 10.4236/ojapps.2012.24B017 3,119 Downloads 4,452 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 5,721 Views Citations