百晓学者学者目录

程志波

副教授、教授、硕士生导师,河南理工大学

精选作品

期刊论文

2026

一类奇性φ-Laplacian广义Liénard型方程周期正解的存在性

周学良,程志波

《应用数学学报》

2026

Bifurcation of Positive Periodic Solutions to Micro-Electro-Mechanical Systems

Zhibo Cheng, Ruina Zhao, Qigang Yuan

Qualitative Theory of Dynamical Systems

2026

POSITIVE PERIODIC SOLUTIONS TO A GENERALIZED LENNARD–JONES POTENTIAL WITH INDEFINITE WEIGHTS

Zhibo Cheng, Yu-Ting Qian, Juan Song

Rocky Mountain Journal of Mathematics

2025

带有不定奇性的二阶非线性微分方程的周期正解(英文)

袁淑靖,李少雯,程志波

《数学理论与应用》

2025

Ambrosetti-Prodi periodic problem of singular $ \phi $-Laplacian rayleigh equations: Theory and numerical bifurcation analysis

Zhibo Cheng, Y. Qian, Qigang Yuan, Ci Kong

Discrete and Continuous Dynamical Systems. Series A

2025

Optimality conditions of non-degeneracy for $ (2n+1) $-th order differential equations and applications

Zhibo Cheng, Yafei Li, Jingli Ren

Discrete and Continuous Dynamical Systems. Series A

2025

Nonlinear dynamics of periodic solutions in electrostatic MEMS: Theory and numerical bifurcation analysis

Zhibo Cheng, Ci Kong, Qigang Yuan

Physica A: Statistical Mechanics and its Applications

2025

Bifurcation-Driven Oscillation Mode Switching in a Time-Periodic Leslie-Gower Predator-Prey Model

Qigang Yuan, Li-Ping Yu, Zhibo Cheng

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

2025

Ambrosetti-Prodi periodic problem of Minkowski-curvature equations with an indefinite repulsive singularity

Ci Kong, Zhibo Cheng

Communications in Contemporary Mathematics

2025

Positive periodic solutions to a generalized Ermakov–Pinney equation with indefinite weights

Yun Xin, Zhibo Cheng

Journal of Fixed Point Theory and Applications

2024

一类奇性φ-Laplacian Rayleigh型方程周期解的存在性

钱玉婷,周学良,程志波

《数学物理学报》

2024

Existence and bifurcation of periodic solutions to the L-Minkowski problem with indefinite weight

Zhibo Cheng, Chenyang Xia, Qigang Yuan

Journal of Mathematical Analysis and Applications

2024

Non-degeneracy and Uniqueness of Periodic Solutions for a Liénard Equation with a Linear Difference Operator

Zhibo Cheng, Yafei Li

Qualitative Theory of Dynamical Systems

2023

一类六阶变系数奇性微分方程的周期正解(英文)

刘杰,李盼盼,程志波,景太艳

《数学理论与应用》

2023

Bifurcation and dynamics of periodic solutions to the Rayleigh-Plesset equation: Theory and numerical simulation

Xingchen Yu, Qigang Yuan, Zhibo Cheng

Physica A: Statistical Mechanics and its Applications

2023

Dynamics of Pumping Effect in 1 Pipe-2 Tanks Flow Configuration with Periodic Excitation

Qigang Yuan, Zhibo Cheng, Jingli Ren

Journal of Mathematical Analysis and Applications

2023

POSITIVE PERIODIC SOLUTION TO A GENERALIZED LAZER–SOLIMINI EQUATION WITH INDEFINITE WEIGHTS

Zhibo Cheng, Chenyang Xia, Lulu Gu

Rocky Mountain Journal of Mathematics

2022

一类具有强弱奇性的Duffing方程周期正解的存在性

宋娟,王振辉,程志波

《应用数学》

2022

三阶非线性微分方程周期解的非退化和存在唯一性

姚绍文,李文洁,程志波

《数学物理学报》

2022

一类带阻尼的吸引型奇性Duffing方程周期正解的存在性

夏晨阳,王振辉,程志波

《数学物理学报》

2022

Multiple Positive Periodic Solutions to Minkowski-Curvature Equations with a Singularity of Attractive Type

Zhibo Cheng, Ci Kong, Chenyang Xia

Qualitative Theory of Dynamical Systems

2022

Positive Periodic Solutions to a Second-Order Singular Differential Equation with Indefinite Weights

Xuefeng Han, Zhibo Cheng

Qualitative Theory of Dynamical Systems

2022

Nondegeneracy and Uniqueness of Periodic Solution for a Liénard Equation

Shao-Wen Yao, Wenjie Li, Zhibo Cheng

Qualitative Theory of Dynamical Systems

2022

Dynamics of periodic solution to a electrostatic Micro-Electro-Mechanical system

Qigang Yuan, Zhibo Cheng, Xue-Ping Li

Communications in nonlinear science & numerical simulation

2022

New results for periodic solution in Liebau phenomenon

Qigang Yuan, Zhibo Cheng

Nonlinear dynamics

2022

Periodic solutions to a generalized Basener-Ross model with time-dependent coefficients

Zhibo Cheng, Juan Song

2022

Positive periodic solution to a second-order differential equation with attractive-repulsive singularities

Zhibo Cheng, Lulu Gu

Rocky Mountain Journal of Mathematics

2021

Positive Periodic Solution for a Second-Order Damped Singular Equation via Fixed Point Theorem in Cones

Zhibo Cheng, Xiaoxiao Cui

Bulletin of the Malaysian Mathematical Sciences Society

2021

PERIODIC SOLUTION FOR SECOND-ORDER DAMPED NEUTRAL DIFFERENTIAL EQUATION VIA A FIXED POINT THEOREM OF LERAY-SCHAUDER TYPE

Zhibo Cheng, Lisha Lv, Fei-Fan Li

The Journal of Applied Analysis and Computation

2021

Multiple results to $$\phi $$-Laplacian singular Liénard equation and applications

Yun Xin, Zhibo Cheng

Journal of Fixed Point Theory and Applications

2021

Positive periodic solution to an indefinite singular equation

Zhibo Cheng, Xiao-Xiao Cui

Applied Mathematics Letters

2020

Nondegeneracy and Uniqueness of Periodic Solution for a Neutral Differential Equation

Zhibo Cheng

Qualitative Theory of Dynamical Systems

2020

Damped superlinear Duffing equation with strong singularity of repulsive type

Zhibo Cheng, Qigang Yuan

Journal of Fixed Point Theory and Applications

2020

A short remark on the nonlinear oscillator with a damping term

Shao-Wen Yao, Zhibo Cheng

2020

Positive periodic solution for prescribed mean curvature generalized Liénard equation with a singularity

Yun Xin, Zhibo Cheng

Boundary Value Problems

2020

POSITIVE PERIODIC SOLUTION FOR SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATION WITH SINGULARITY OF ATTRACTIVE TYPE

Jie Liu, Zhibo Cheng, Yi Wang

The Journal of Applied Analysis and Computation

2020

Positive periodic solution of first-order neutral differential equation with infinite distributed delay and applications

Zhibo Cheng, Lisha Lv, Jie Liu

2019

一类广义Liénard方程周期正解的存在性

崔笑笑,程志波,姚绍文

《应用数学》

2019

一类具有偏差变元的p-Laplacian Liénard型方程在吸引奇性条件下周期解的存在性

程志波,毕中华,姚绍文

《数学物理学报》

2019

Positive periodic solution to superlinear neutral differential equation with time-dependent parameter

Lisha Lv, Zhibo Cheng

Applied Mathematics Letters

2019

Singularities of attractive and repulsive type to fourth-order neutral Liénard equations with time-dependent deviating arguments

Yun Xin, Zhibo Cheng

Journal of Nonlinear Functional Analysis

2019

Periodic solutions for p-Laplacian neutral differential equation with multiple delay and variable coefficients

Zhonghua Bi, Zhibo Cheng, Shao-Wen Yao

Advances in Differential Equations

2019

Weak and strong singularities for second-order nonlinear differential equations with a linear difference operator

Zhibo Cheng, Fei-Fan Li

Journal of Fixed Point Theory and Applications

2019

The homotopy perturbation method for a nonlinear oscillator with a damping

Shao-Wen Yao, Zhibo Cheng

Journal of Low Frequency Noise Vibration and Active Control

2019

STUDY ON A KIND OF $P$-LAPLACIAN NEUTRAL DIFFERENTIAL EQUATION WITH MULTIPLE VARIABLE COEFFICIENTS

Zhibo Cheng, Zhonghua Bi

The Journal of Applied Analysis and Computation

2019

Periodic solution for ϕ-Laplacian neutral differential equation

Shao-Wen Yao, Zhibo Cheng

Open Mathematics

2019

Positive periodic solutions for second-order neutral differential equations with time-dependent deviating arguments

Zhibo Cheng, Fei-Fan Li, Shao-Wen Yao

Filomat

2018

一类带阻尼项的奇性Duffing方程周期解的存在性

姚绍文,程志波

《数学物理学报》

2018

Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type

Yun Xin, Hongmin Liu, Zhibo Cheng

Journal of Inequalities and Applications

2018

Periodic solution for p-Laplacian Rayleigh equation with attractive singularity and time-dependent deviating argument

Zhibo Cheng, Zhonghua Bi, Shao-Wen Yao

Boundary Value Problems

2018

Positive Periodic Solutions for a Kind of Second-Order Neutral Differential Equations with Variable Coefficient and Delay

Zhibo Cheng, Fei-Fan Li

Mediterranean Journal of Mathematics

2018

Positive periodic solution to indefinite singular Liénard equation

Yun Xin, Zhibo Cheng

Positivity (Dordrecht)

2018

Periodic solution for second order damped differential equations with attractive-repulsive singularities

Zhibo Cheng, Jing-Li Ren

Rocky Mountain Journal of Mathematics

2018

Attractive singularity problems for superlinear Liénard equation

Zhibo Cheng, Xiao-Xiao Cui, Zhonghua Bi

Positivity (Dordrecht)

2017

New results for Brillouin electron beam focusing system

Zhibo Cheng, Shao-Wen Yao

2017

Study on a kind of neutral Rayleigh equation with singularity

Yun Xin, Zhibo Cheng

Boundary Value Problems

2017

Positive periodic solution for higher-order p-Laplacian neutral singular Rayleigh equation with variable coefficient

Yun Xin, Shao-Wen Yao, Zhibo Cheng

2017

PERIODIC SOLUTIONS FOR FOURTH-ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH LINEAR AUTONOMOUS DIFFERENCE OPERATORS

Zhibo Cheng, Yun Xin

2017

Study on a kind of fourth-order p-Laplacian Rayleigh equation with linear autonomous difference operator

Yun Xin, Xuefeng Han, Zhibo Cheng

2017

Existence of multiplicity harmonic and subharmonic solutions for second‐order quasilinear equation via Poincaré‐Birkhoff twist theorem

Zhibo Cheng, Jing-Li Ren

2017

Positive periodic solution for generalized Basener-Ross model

Zhibo Cheng, Xiao-Xiao Cui

2017

Multiplicity results of fourth-order singular nonlinear differential equation with a parameter

Yun Xin, Xuefeng Han, Zhibo Cheng

2017

Study on a kind of ϕ-Laplacian Liénard equation with attractive and repulsive singularities

Yun Xin, Zhibo Cheng

Journal of Inequalities and Applications

2016

Positive periodic solution for high-order p-Laplacian neutral differential equation with singularity

Yun Xin, Xuefeng Han, Zhibo Cheng

2016

Positive periodic solution for ϕ-Laplacian Rayleigh equation with strong singularity

Yun Xin, Zhibo Cheng

2016

Positive periodic solution of p-Laplacian Liénard type differential equation with singularity and deviating argument

Yun Xin, Zhibo Cheng

2016

Positive solutions for fourth‐order singular nonlinear differential equation with variable‐coefficient

Zhibo Cheng, Jing-Li Ren

2016

Harmonic and subharmonic solutions for suplinear Duffing equation with delay

Zhibo Cheng, Jing-Li Ren

2015

Some results for fourth-order nonlinear differential equation with singularity

Yun Xin, Zhibo Cheng

2015

Positive solutions for third-order variable-coefficient nonlinear equation with weak and strong singularities

Zhibo Cheng, Jing-Li Ren

2015

Existence of periodic solution for fourth-order lienard type $p$-Laplacian generalized neutral differential equation with variable parameter

Zhibo Cheng, Jing-Li Ren

2015

Multiplicity results of positive solutions for fourth‐order nonlinear differential equation with singularity

Zhibo Cheng, Jing-Li Ren

2014

Existence of positive periodic solution for variable–coefficient third‐order differential equation with singularity

Zhibo Cheng, Jing-Li Ren

2014

Existence and uniqueness of a positive periodic solution for Rayleigh type ϕ-Laplacian equation

Yun Xin, Zhibo Cheng

2014

Existence and uniqueness of positive periodic solution for ϕ-Laplacian Liénard equation

Yun Xin, Xuefeng Han, Zhibo Cheng

Boundary Value Problems

2014

Neutral operator with variable parameter and third-order neutral differential equation

Yun Xin, Zhibo Cheng

Advances in Differential Equations

2014

Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter

Zhibo Cheng, Yun Xin

2014

Existence of positive periodic solutions for third-order differential equation with strong singularity

Zhibo Cheng

Advances in Differential Equations

2013

p-Laplacian-类Duffing方程正周期解的存在性与唯一性

程志波,向上

《郑州大学学报(理学版)》

2013

Some results for high-order generalized neutral differential equation

Zhibo Cheng, Jing-Li Ren

2013

Existence results of periodic solutions for third‐order nonlinear singular differential equation

Jing-Li Ren, Zhibo Cheng, Yueli Chen

2013

Periodic Solution for High-order Differential System

Zhibo Cheng, Jing-Li Ren

2013

Studies on a damped differential equation with repulsive singularity

Zhibo Cheng, Jing-Li Ren

2013

Harmonic and subharmonic solutions for superlinear damped Duffing equation

Zhibo Cheng, Jing-Li Ren

2012

微分方程若干问题的研究

程志波

《郑州大学》

2012

Non-degeneracy and uniqueness of periodic solutions for $2n$-order differential equations

P. J. Torres, Zhibo Cheng, Jing-Li Ren

2012

Periodic and subharmonic solutions for duffing equation with a singularity

Zhibo Cheng, Jing-Li Ren

2011

Positive periodic solution for Brillouin electron beam focusing system

Jing-Li Ren, Zhibo Cheng, S. Siegmund

2011

Neutral Operator and Neutral Differential Equation

Jing-Li Ren, Zhibo Cheng, S. Siegmund

2011

Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations

Jing-Li Ren, Wing-Sum Cheung, Zhibo Cheng

2011

Existence and Lyapunov Stability of Positive Periodic Solutions for a Third-Order Neutral Differential Equation

Jing-Li Ren, Zhibo Cheng, Yueli Chen

2010

PERIODIC SOLUTION FOR GENERALIZED HIGH-ORDER DELAY DIFFERENTIAL EQUATIONS ∗

Zhibo Cheng, Jing-Li Ren, S. Siegmund

2009

Periodic solutions for generalized high-order neutral differential equation in the critical case

Jing-Li Ren, Zhibo Cheng

2009

On high-order delay differential equation

Jing-Li Ren, Zhibo Cheng

Computers and Mathematics with Applications

2009

Periodic solutions for a fourth-order Rayleigh type p-Laplacian delay equation☆

Zhibo Cheng, Jing-Li Ren

Positive periodic solutions to the planar L dual Minkowski problem in the critical case

Zhibo Cheng, Shu-Jing Yuan, Qigang Yuan, Jingli Ren

Journal of Differential Equations

预印本

2026

Ambrosetti-Prodi periodic problem and asymptotic dynamics for singular Li\'enard equations with mean curvature operator

Zhibo Cheng, Jingli Ren

SSRN Electronic Journal

2026

Finite inverse nodal problems for singular weighted Sturm--Liouville equations: variational selection and spectral matching

Zhibo Cheng, Yuchao He, Sunan Wang, Yonghui Xia

arXiv preprint

2024

Positive periodic solutions for a sixth-order variable coefficient differential equation with repulsive singularity

Jie Liu, Panpan Li, Taiyan Jing, Zhibo Cheng

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