Nonlinear Higher-Order Kirchhoff Type Equation - Articles

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 1,456 Downloads 2,365 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 1,497 Downloads 2,564 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 427 Downloads 1,104 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 696 Downloads 1,530 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 1,580 Downloads 2,444 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 855 Downloads 1,632 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 599 Downloads 1,214 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 682 Downloads 1,322 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 2,925 Downloads 5,312 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 3,767 Downloads 7,248 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 5,885 Downloads 11,099 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 636 Downloads 1,179 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 225 Downloads 777 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 657 Downloads 1,846 Views Citations
The Solution of the Indefinite Equation by the Method of Euclidean Algorithm (Articles)

Zhongqi Zhou

Open Access Library Journal Vol.11 No.8，August 26, 2024

DOI: 10.4236/oalib.1112011 26 Downloads 422 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 60 Downloads 330 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 2,587 Downloads 4,319 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 878 Downloads 2,070 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 248 Downloads 2,002 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 141 Downloads 635 Views Citations

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