狄华斐｜广州大学｜学者主页

2026

一类具有二阶非线性导数项的四阶薛定谔方程驻波解的存在性与稳定性

狄华斐，林琦瑶，彭小明

《广州大学学报(自然科学版)》

2026

Well-posedness and stability for a nonlinear pseudo-parabolic equation involving p(x)-Laplacian and variable exponents

Huafei Di, Xiang-Zheng Qian, Liang Li

Nonlinearity

DOI

2026

Existence and stability of standing wave solutions for fourth-order Schrödinger equation with second-order nonlinear derivative term

Huafei Di, Qiyao Lin, Xiaoming Peng

European Journal of Applied Mathematics

DOI

2025

Well-posedness, blow up and asymptotic stability for fractional pseudo-parabolic equation involving memory and logarithmic terms

Huafei Di, Yi Qiu, Xiaoming Peng

Discrete and Continuous Dynamical Systems. Series A

DOI

2024

Well-posedness, asymptotic stability and blow-up results for a nonlocal singular viscoelastic problem with logarithmic nonlinearity

Huafei Di, Yi Qiu

Zeitschrift für Angewandte Mathematik und Physik

DOI

2024

Fractional pseudo-parabolic equation with memory term and logarithmic nonlinearity: Well-posedness, blow up and asymptotic stability

Huafei Di, Yi Qiu, Liang Li

Communications in nonlinear science & numerical simulation

DOI

2024

Sharp thresholds of blowup and uniform bound for a Schrödinger system with second‐order derivative‐type and combined power‐type nonlinearities

Kelin Li, Huafei Di

Studies in Applied Mathematics

DOI

2024

BÄCKLUND TRANSFORMATIONS AND INFINITE NEW EXPLICIT EXACT SOLUTIONS OF A VARIANT BOUSSINESQ EQUATIONS

Yadong Shang, Huafei Di

Journal of Applied Analysis & Computation

DOI

2023

Blow-up phenomena for a singular nonlocal viscoelastic problem with logarithmic nonlinearity

Huafei Di, Yi Qiu, Xiao-Ming Peng

Applied Mathematics Letters

DOI

2023

Variable-coefficient viscoelastic wave equation with acoustic boundary conditions: global existence, blowup and energy decay rates

Jiali Yu, Huafei Di

Banach Journal of Mathematical Analysis

DOI

2023

Instability analysis and regularization approximation to the forward/backward problems for fractional damped wave equations with random noise

Zefang Song, Huafei Di

Applied Numerical Mathematics

DOI

2022

The Regularized Solution Approximation of Forward/Backward Problems for a Fractional Pseudo-Parabolic Equation with Random Noise

Huafei Di, Weijie Rong

Acta Mathematica Scientia

DOI

2022

Blow up and exponential growth for a pseudo-parabolic equation with p(x)-Laplacian and variable exponents

Huafei Di, Xian Qian, Xiaoming Peng

Applied Mathematics Letters

DOI

2022

Stability of Peaked Solitary Waves for a Class of Cubic Quasilinear Shallow-Water Equations

Robin Ming Chen, Huafei Di, Yue Liu

International Mathematics Research Notices

DOI

2022

Global existence and blow-up phenomenon for a quasilinear viscoelastic equation with strong damping and source terms

Huafei Di, Zefang Song

Opuscula Mathematica

DOI

2021

Orbital stability of solitary waves and a Liouville-type property to the cubic Camassa–Holm-type equation

Huafei Di, Ji Li, Yue Liu

Physica D Nonlinear Phenomena

DOI

2021

Initial and Boundary Value Problems for a Class of Nonlinear Metaparabolic Equations

Huafei Di, Zefang Song

Advances in Mathematical Physics

DOI

2021

On the well-posedness and stability for the fourth-order Schrödinger equation with nonlinear derivative term

Kelin Li, Huafei Di

Discrete and Continuous Dynamical Systems - S

DOI

2020

Orbital stability of solitary waves for the generalized long-short wave resonance equations with a cubic-quintic strong nonlinear term

Xiaoxiao Zheng, Huafei Di, Xiaoming Peng

Journal of Inequalities and Applications

DOI

2020

On decay and blow-up of solutions for a nonlinear Petrovsky system with conical degeneration

Jiali Yu, Yadong Shang, Huafei Di

Boundary Value Problems

DOI

2020

Some Results on Blow-up Phenomenon for Nonlinear Porous Medium Equations with Weighted Source

Huafei Di, Lin Chen, Zefang Song

European Journal of Pure and Applied Mathematics

DOI

2020

Long-Time Dynamics for a Nonlinear Viscoelastic Kirchhoff Plate Equation

Xiaoming Peng, Yadong Shang, Huafei Di

Chinese Annals of Mathematics Series B

DOI

2020

Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms

Jiali Yu, Yadong Shang, Huafei Di

Journal of Mathematical Physics

DOI

2020

Global well-posedness for a nonlocal semilinear pseudo-parabolic equation with conical degeneration

Huafei Di, Yadong Shang

Journal of Differential Equations

DOI

2020

Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source

Huafei Di, Yadong Shang, Jiali Yu

Electronic Research Archive

DOI

2019

Global Nonexistence for A Viscoelastic Wave Equation with Acoustic Boundary Conditions

Jiali Yu, Yadong Shang, Huafei Di

Acta Mathematica Scientia

DOI

2019

Blow-Up Phenomena for a Class of Generalized Double Dispersion Equations

Huafei Di, Yadong Shang

Acta Mathematica Scientia

DOI

2019

Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity

Huafei Di, Yadong Shang, Zefang Song

Nonlinear Analysis Real World Applications

DOI

2018

On decay and blow-up of solutions for a nonlinear beam equation with double damping terms

Jiali Yu, Yadong Shang, Huafei Di

Boundary Value Problems

DOI

2018

Existence and nonexistence of global solutions to the Cauchy problem of thenonlinear hyperbolic equation with damping term

Jiali Yu, Yadong Shang, Huafei Di

AIMS Mathematics

DOI

2017

The Time-Periodic Solutions to the Modified Zakharov Equations with a Quantum Correction

Xiaoxiao Zheng, Yadong Shang, Huafei Di

Mediterranean Journal of Mathematics

DOI

2017

Exact Solutions for the Wick-Type Stochastic Schamel-Korteweg-de Vries Equation

Xueqin Wang, Yadong Shang, Huafei Di

Advances in Mathematical Physics

DOI

2016

Blow-up phenomena for a pseudo-parabolic equation with variable exponents

Huafei Di, Yadong Shang, Xiaoming Peng

Applied Mathematics Letters

DOI

2016

Global existence and nonexistence of solutions for a viscoelastic wave equation with nonlinear boundary source term

Huafei Di, Yadong Shang, Xiaoming Peng

Mathematische Nachrichten

DOI

2015

一类带有非线性阻尼项和源项的四阶波动方程整体解的存在性与不存在性

狄华斐，尚亚东

《数学物理学报》

2015

Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source

Huafei Di, Yadong Shang

Boundary Value Problems

DOI

2015

Cauchy problem for a higher order generalized Boussinesq-type equation with hydrodynamical damped term

Huafei Di, Yadong Shang

Applicable Analysis

DOI

2015

Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms

Huafei Di, Yadong Shang

Boundary Value Problems

DOI

2014

Global existence and nonexistence of solutions for the nonlinear pseudo‐parabolic equation with a memory term

Huafei Di, Yadong Shang

Mathematical Methods in the Applied Sciences

DOI

2014

Blow-Up of Solutions for a Class of Nonlinear Pseudoparabolic Equations with a Memory Term

Huafei Di, Yadong Shang

Abstract and Applied Analysis

DOI

2014

Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave Equation

Huafei Di, Yadong Shang

Journal of Applied Mathematics

DOI

2012

一类抛物型方程弱解的正则性

狄华斐，武虔虔，龙群飞

《贵州师范大学学报(自然科学版)》

2012

与磁流体相关的几类方程解的正则性

狄华斐

《云南民族大学》

2011

一类椭圆型方程弱解的正则性

狄华斐，周道军，郑治波

《重庆高教研究》

On potential wells and application to a pseudo-parabolic equation with Newtonian potential

Huafei Di, Bingyuan Huang, Wen-Hui Chen

Journal of Mathematical Analysis and Applications

DOI

精选作品

期刊论文

一类具有二阶非线性导数项的四阶薛定谔方程驻波解的存在性与稳定性

Well-posedness and stability for a nonlinear pseudo-parabolic equation involving p(x)-Laplacian and variable exponents

Existence and stability of standing wave solutions for fourth-order Schrödinger equation with second-order nonlinear derivative term

Well-posedness, blow up and asymptotic stability for fractional pseudo-parabolic equation involving memory and logarithmic terms

Well-posedness, asymptotic stability and blow-up results for a nonlocal singular viscoelastic problem with logarithmic nonlinearity

Fractional pseudo-parabolic equation with memory term and logarithmic nonlinearity: Well-posedness, blow up and asymptotic stability

Sharp thresholds of blowup and uniform bound for a Schrödinger system with second‐order derivative‐type and combined power‐type nonlinearities

BÄCKLUND TRANSFORMATIONS AND INFINITE NEW EXPLICIT EXACT SOLUTIONS OF A VARIANT BOUSSINESQ EQUATIONS

Blow-up phenomena for a singular nonlocal viscoelastic problem with logarithmic nonlinearity

Variable-coefficient viscoelastic wave equation with acoustic boundary conditions: global existence, blowup and energy decay rates

Instability analysis and regularization approximation to the forward/backward problems for fractional damped wave equations with random noise

The Regularized Solution Approximation of Forward/Backward Problems for a Fractional Pseudo-Parabolic Equation with Random Noise

Blow up and exponential growth for a pseudo-parabolic equation with p(x)-Laplacian and variable exponents

Stability of Peaked Solitary Waves for a Class of Cubic Quasilinear Shallow-Water Equations

Global existence and blow-up phenomenon for a quasilinear viscoelastic equation with strong damping and source terms

Orbital stability of solitary waves and a Liouville-type property to the cubic Camassa–Holm-type equation

Initial and Boundary Value Problems for a Class of Nonlinear Metaparabolic Equations

On the well-posedness and stability for the fourth-order Schrödinger equation with nonlinear derivative term

Orbital stability of solitary waves for the generalized long-short wave resonance equations with a cubic-quintic strong nonlinear term

On decay and blow-up of solutions for a nonlinear Petrovsky system with conical degeneration

Some Results on Blow-up Phenomenon for Nonlinear Porous Medium Equations with Weighted Source

Long-Time Dynamics for a Nonlinear Viscoelastic Kirchhoff Plate Equation

Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms

Global well-posedness for a nonlocal semilinear pseudo-parabolic equation with conical degeneration

Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source

Global Nonexistence for A Viscoelastic Wave Equation with Acoustic Boundary Conditions

Blow-Up Phenomena for a Class of Generalized Double Dispersion Equations

Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity

On decay and blow-up of solutions for a nonlinear beam equation with double damping terms

Existence and nonexistence of global solutions to the Cauchy problem of thenonlinear hyperbolic equation with damping term

The Time-Periodic Solutions to the Modified Zakharov Equations with a Quantum Correction

Exact Solutions for the Wick-Type Stochastic Schamel-Korteweg-de Vries Equation

Blow-up phenomena for a pseudo-parabolic equation with variable exponents

Global existence and nonexistence of solutions for a viscoelastic wave equation with nonlinear boundary source term

一类带有非线性阻尼项和源项的四阶波动方程整体解的存在性与不存在性

Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source

Cauchy problem for a higher order generalized Boussinesq-type equation with hydrodynamical damped term

Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms

Global existence and nonexistence of solutions for the nonlinear pseudo‐parabolic equation with a memory term

Blow-Up of Solutions for a Class of Nonlinear Pseudoparabolic Equations with a Memory Term

Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave Equation

一类抛物型方程弱解的正则性

与磁流体相关的几类方程解的正则性

一类椭圆型方程弱解的正则性

On potential wells and application to a pseudo-parabolic equation with Newtonian potential

预印本

Global existence and Rayleigh-Taylor instability for the semi-dissipative Boussinesq system with Naiver boundary conditions

研究方向