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Special Issue: Nonlinear Differential Equations and Applications

Guest Editors

Zengji Du
Jiangsu Normal University, China
Email: duzengji@163.com


Alberto Cabada
Universidade de Santiago de Compostela, Spain
Email:  alberto.cabada@usc.gal


Jifeng Chu
Shanghai Normal University, China
Email:  jifengchu@126.com

Manuscript Topics

During the last several decades, there are many essential progresses on nonlinear differential equations, including the basic theory and the wide applications. This issue will focus on all aspects of nonlinear differential equations, especially on the dynamical behaviors of nonlinear differential equations and their application.


Potential topics include, but are not limited to:


• Stability results
• Existence, uniqueness and multiplicity results
• Qualitative properties of the solutions
• Applications to real-world phenomena


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Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 31 December 2020

Published Papers(20)

Research article
Asymptotic behavior of the unique solution for a fractional Kirchhoff problem with singularity
Shengbin Yu,  Jianqing Chen
2021, Volume 6, Issue 7: 7187-7198. doi: 10.3934/math.2021421
Abstract HTML PDF Cited (1) Viewed (2595)
Research article
Initial boundary value problems for space-time fractional conformable differential equation
Tingting Guan,  Guotao Wang,  Haiyong Xu
2021, Volume 6, Issue 5: 5275-5291. doi: 10.3934/math.2021312
Abstract HTML PDF Cited (3) Viewed (2655)
Research article
Positive solutions of BVPs on the half-line involving functional BCs
Gennaro Infante,  Serena Matucci
2021, Volume 6, Issue 5: 4860-4872. doi: 10.3934/math.2021285
Abstract HTML PDF Cited (1) Viewed (2439)
Research article
Positive solutions to a semipositone superlinear elastic beam equation
Haixia Lu,  Li Sun
2021, Volume 6, Issue 5: 4227-4237. doi: 10.3934/math.2021250
Abstract HTML PDF Cited (1) Viewed (2682)
Research article
Neutral differential equations with noncanonical operator: Oscillation behavior of solutions
Elmetwally M. Elabbasy,  Amany Nabih,  Taher A. Nofal,  Wedad R. Alharbi,  Osama Moaaz
2021, Volume 6, Issue 4: 3272-3287. doi: 10.3934/math.2021196
Abstract HTML PDF Cited (4) Viewed (3064)
Research article
On leap Zagreb indices of bridge and chain graphs
Natarajan Chidambaram,  Swathi Mohandoss,  Xinjie Yu,  Xiujun Zhang
2020, Volume 5, Issue 6: 6521-6536. doi: 10.3934/math.2020420
Abstract HTML PDF Cited (5) Viewed (4111)
Research article
Properties of positive solutions for a fractional boundary value problem involving fractional derivative with respect to another function
Yitao Yang,  Dehong Ji
2020, Volume 5, Issue 6: 7359-7371. doi: 10.3934/math.2020471
Abstract HTML PDF Cited (3) Viewed (3500)
Research article
Optimal control strategies for a heroin epidemic model with age-dependent susceptibility and recovery-age
Asaf Khan,  Gul Zaman,  Roman Ullah,  Nawazish Naveed
2021, Volume 6, Issue 2: 1377-1394. doi: 10.3934/math.2021086
Abstract HTML PDF Cited (16) Viewed (4246)
Research article
Global bifurcation of sign-changing radial solutions of elliptic equations of order 2m in annular domains
Ruyun Ma,  Dongliang Yan,  Liping Wei
2020, Volume 5, Issue 5: 4909-4916. doi: 10.3934/math.2020313
Abstract HTML PDF Viewed (3630)
Research article
Solvability for some fourth order two-point boundary value problems
Zhanbing Bai,  Wen Lian,  Yongfang Wei,  Sujing Sun
2020, Volume 5, Issue 5: 4983-4994. doi: 10.3934/math.2020319
Abstract HTML PDF Cited (6) Viewed (4322)
Research article
Does nonuniform behavior destroy the structural stability?
Yuzhen Bai,  Donal O’Regan,  Yong-Hui Xia,  Xiaoqing Yuan
2020, Volume 5, Issue 6: 5628-5638. doi: 10.3934/math.2020359
Abstract HTML PDF Viewed (3508)
Research article
Multiple positive periodic solutions of a Gause-type predator-prey model with Allee effect and functional responses
Shanshan Yu,  Jiang Liu,  Xiaojie Lin
2020, Volume 5, Issue 6: 6135-6148. doi: 10.3934/math.2020394
Abstract HTML PDF Cited (11) Viewed (4283)
Research article
Nonlinear differential equations of fourth-order: Qualitative properties of the solutions
Omar Bazighifan
2020, Volume 5, Issue 6: 6436-6447. doi: 10.3934/math.2020414
Abstract HTML PDF Cited (3) Viewed (4137)
Research article
On Tzitéeica type nonlinear equations for multiple soliton solutions in nonlinear optics
Yongsheng Rao,  Asim Zafar,  Alper Korkmaz,  Asfand Fahad,  Muhammad Imran Qureshi
2020, Volume 5, Issue 6: 6580-6593. doi: 10.3934/math.2020423
Abstract HTML PDF Cited (2) Viewed (3883)
Research article
Existence of infinitely many small solutions for fractional Schrödinger-Poisson systems with sign-changing potential and local nonlinearity
Zonghu Xiu,  Shengjun Li,  Zhigang Wang
2020, Volume 5, Issue 6: 6902-6912. doi: 10.3934/math.2020442
Abstract HTML PDF Viewed (3454)
Research article
A nonlocal boundary value problems for hybrid ϕ-Caputo fractional integro-differential equations
Dehong Ji,  Weigao Ge
2020, Volume 5, Issue 6: 7175-7190. doi: 10.3934/math.2020459
Abstract HTML PDF Cited (6) Viewed (3550)
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