Kirchhoff-Type Equations - Articles - Scientific Research Publishing

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 913 Downloads 1,740 Views Citations
Random Attractors for the Kirchhoff-Type Suspension Bridge Equations with Strong Damping and White Noises (Articles)

Chuangliang Qin, Jinji Du, Guoguang Lin

International Journal of Modern Nonlinear Theory and Application Vol.6 No.4, December 21, 2017

DOI: 10.4236/ijmnta.2017.64012 1,048 Downloads 2,015 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 586 Downloads 1,320 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 234 Downloads 876 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 761 Downloads 1,833 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 941 Downloads 1,916 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 682 Downloads 1,499 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 302 Downloads 944 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 175 Downloads 634 Views Citations
Boundary Stabilization of a More General Kirchhoff-Type Beam Equation (Articles)

Jianwen Zhang, Danxia Wang

International Journal of Modern Nonlinear Theory and Application Vol.1 No.3, September 28, 2012

DOI: 10.4236/ijmnta.2012.13014 3,676 Downloads 6,742 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 6,098 Downloads 11,544 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

International Journal of Modern Nonlinear Theory and Application Vol.5 No.4, November 23, 2016

DOI: 10.4236/ijmnta.2016.54018 1,551 Downloads 2,630 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

International Journal of Modern Nonlinear Theory and Application Vol.6 No.1, February 13, 2017

DOI: 10.4236/ijmnta.2017.61002 1,583 Downloads 2,813 Views Citations
Multiple Solutions to the Problem of Kirchhoff Type Involving the Critical Caffareli-Kohn-Niremberg Exponent, Concave Term and Sign-Changing Weights (Articles)

Mohammed El Mokhtar Ould El Mokhtar

Applied Mathematics Vol.8 No.11, November 30, 2017

DOI: 10.4236/am.2017.811123 1,001 Downloads 2,077 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 753 Downloads 1,598 Views Citations
The Global Attractors and Dimensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Damping (Articles)

Guoguang Lin, Yalan Yang

International Journal of Modern Nonlinear Theory and Application Vol.9 No.4, November 4, 2020

DOI: 10.4236/ijmnta.2020.94005 535 Downloads 1,419 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 295 Downloads 1,029 Views Citations
This article belongs to the Special Issue on Nonlinear Differential Equations
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 8,195 Downloads 14,130 Views Citations
On the Meromorphic Solutions of Fermat-Type Differential Equations (Articles)

Dengfeng Liu, Biao Pan

Journal of Applied Mathematics and Physics Vol.10 No.9, September 30, 2022

DOI: 10.4236/jamp.2022.109188 210 Downloads 915 Views Citations
This article belongs to the Special Issue on Ordinary Differential Equations and Its Applications
Closed virial equations for hard parallel cubes andsquares (Articles)

Leslie V. Woodcock

Natural Science Vol.3 No.7, July 29, 2011

DOI: 10.4236/ns.2011.37085 5,483 Downloads 9,601 Views Citations

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