Articles

Existence result for a Kirchhoff elliptic system with variable parameters and additive right-hand side via sub- and supersolution method

The paper deals with the study of the existence result for a Kirchhoff elliptic system with additive right-hand side and variable parameters by using the sub-/supersolution method. Our study is a natural exten...

Authors: Mohamed Haiour, Salah Boulaaras, Youcef Bouizem and Rafik Guefaifia

Ground state and nodal solutions for critical Kirchhoff–Schrödinger–Poisson systems with an asymptotically 3-linear growth nonlinearity

In this paper, we consider the existence of a least energy nodal solution and a ground state solution, energy doubling property and asymptotic behavior of solutions of the following critical problem:

Authors: Chungen Liu and Hua-Bo Zhang

Hopf bifurcation analysis of nonlinear HIV infection model and the effect of delayed immune response with drug therapies

A mathematical model of HIV infection with the combination of drug therapy including cytotoxic T-lymphocyte (CTL) and the antibody immune response is examined. The threshold value represented as the basic repr...

Authors: V. Geetha and S. Balamuralitharan

On the existence of three solutions of Dirichlet fractional systems involving the p-Laplacian with Lipschitz nonlinearity

Authors: Rafik Guefaifia, Salah Boulaaras and Fares Kamache

Existence and multiplicity of solutions for nonlocal fourth-order elliptic equations with combined nonlinearities

Authors: Ru Yuanfang and An Yukun

A note on singular two-dimensional fractional coupled Burgers’ equation and triple Laplace Adomian decomposition method

The present article focuses on how to find the exact solutions of the time-fractional regular and singular coupled Burgers’ equations by applying a new method that is called triple Laplace and Adomian decompos...

Authors: Hassan Eltayeb and Imed Bachar

Properties of solutions to fractional p-subLaplace equations on the Heisenberg group

The aim of this paper is to study properties of solutions to the fractional p-subLaplace equations on the Heisenberg group. Based on the maximum principles and the generalization of the direct method of moving pl...

Authors: Xinjing Wang and Guangwei Du

Retraction Note: Notes on the result of solutions of the equilibrium equations

The Editor-in-Chief has retracted this article [1] because the results are invalid. The article also shows evidence of authorship manipulation. Additionally, Universidad de Talca have confirmed that Ben Rodrig...

Authors: Gaiping He, Lihong Wang and Ben Rodrigo

Retraction Note: Normal families of solutions for modified equilibrium equations and their applications

The Editors-in-Chief have retracted this article [1] because its results are invalid. It also shows considerable overlap with an article by Lu and Sun [2] that was simultaneously under consideration. Additiona...

Authors: Yili Tan, Weiyong Ding, Yourong Wang and Zongjing Jiang

Existence of ground state for fractional Kirchhoff equation with \(L^{2}\) critical exponents

Authors: Yaling Han and Yimin Zhang

Nonlinear eigenvalue problems for nonhomogeneous Leray–Lions operators

This paper deals with the mathematical analysis of a class of nonlinear eigenvalue problems driven by a nonhomogeneous differential operator. We are concerned both with the coercive and the noncoercive (and no...

Authors: Mohamed Abdelwahed and Nejmeddine Chorfi

Local solvability and stability of the inverse problem for the non-self-adjoint Sturm–Liouville operator

We consider the non-self-adjoint Sturm–Liouville operator on a finite interval. The inverse spectral problem is studied, which consists in recovering this operator from its eigenvalues and generalized weight n...

Authors: Natalia P. Bondarenko

Existence of ground state solutions for quasilinear Schrödinger equations with general Choquard type nonlinearity

Authors: Yu-bo He, Jue-liang Zhou and Xiao-yan Lin

Existence and multiplicity of solutions for Schrödinger–Kirchhoff type problems involving the fractional \(p(\cdot )\)-Laplacian in \(\mathbb{R}^{N}\)

Authors: In Hyoun Kim, Yun-Ho Kim and Kisoeb Park

Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion

We introduce the investigation of approximate controllability for a new class of nonlocal and noninstantaneous impulsive Hilfer fractional neutral stochastic integrodifferential equations with fractional Brown...

Authors: Hamdy M. Ahmed, Mahmoud M. El-Borai, A. S. Okb El Bab and M. Elsaid Ramadan

Controllability of fractional evolution systems of Sobolev type via resolvent operators

Authors: He Yang and Yanjie Zhao

Multiplicity results involving p-biharmonic Kirchhoff-type problems

Authors: Ramzi Alsaedi

Existence–uniqueness and monotone iteration of positive solutions to nonlinear tempered fractional differential equation with p-Laplacian operator

Authors: Bibo Zhou, Lingling Zhang, Gaofeng Xing and Nan Zhang

Global attractors for Kirchhoff wave equation with nonlinear damping and memory

In this paper, we prove that the existence of global attractors for a Kirchhoff wave equation with nonlinear damping and memory.

Authors: Suli Zhang, Jianwen Zhang and Haiyan Wang

The initial-boundary value problem for a class of third order pseudoparabolic equations

In this paper, a priori estimate for a linear third pseudoparabolic operator with bound is established, and applying the above result, the existence and uniqueness theorem of solutions for a class of nonlinear...

Authors: Yanqing Feng, Limin Guo and Zhongying Wang

Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernel

The existence of a solution for a second-order p-Laplacian boundary value problem at resonance with two dimensional kernel will be considered in this paper. A semi-projector, the Ge and Ren extension of Mawhin...

Authors: O. F. Imaga and S. A. Iyase

Existence and uniqueness of finite beam deflection on nonlinear non-uniform elastic foundation with arbitrary well-posed boundary condition

For arbitrary two-point boundary condition, which makes the corresponding linear uniform problem well-posed, we obtain an existence and uniqueness result for the boundary value problem of finite beam deflectio...

Authors: Sung Woo Choi

Existence of nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical nonlinearity

Authors: Quanqing Li, Kaimin Teng, Wenbo Wang and Jian Zhang

Existence of least energy nodal solution for Kirchhoff–Schrödinger–Poisson system with potential vanishing

Authors: Jin-Long Zhang and Da-Bin Wang

Boundary value conditions for linear differential equations with power degenerations

Authors: Aigerim Kalybay

Quasilinear asymptotically periodic Schrödinger–Poisson system with subcritical growth

Authors: Jing Zhang, Lifeng Guo and Miaomiao Yang

Infinitely many positive solutions for a nonlocal problem with competing potentials

The present paper deals with a class of nonlocal problems. Under some suitable assumptions on the decay rate of the coefficients, we derive the existence of infinitely many positive solutions to the problem by...

Authors: Jing Yang

The global dynamics for an age-structured SLIS model with the delay

This paper deals with the global dynamics for a SLIS epidemic model with infection age. In our model, we also consider the time delay in the progression from the latent individuals to becoming infectious indiv...

Authors: Hongwu Tan, Xin Yang and Hui Cao

Existence of infinitely many solutions for a p-Kirchhoff problem in RN

Authors: Zonghu Xiu, Jing Zhao and Jianyi Chen

Numerical simulation for a class of predator–prey system with homogeneous Neumann boundary condition based on a sinc function interpolation method

For the nonlinear predator–prey system (PPS), although a variety of numerical methods have been proposed, such as the difference method, the finite element method, and so on, but the efficient numerical method...

Authors: Dandan Dai, Ximing Lv and Yulan Wang

New analytical method based on dynamic response of planar mechanical elastic systems

An important stage in an analysis of a multibody system (MBS) with elastic elements by the finite element method is the assembly of the equations of motion for the whole system. This assembly, which seems like...

Authors: Maria Luminiţa Scutaru, Sorin Vlase, Marin Marin and Arina Modrea

Existence of a strong solution to moist atmospheric equations with the effects of topography

In this paper, we consider the primitive three-dimensional viscous equations for large-scale atmosphere dynamics with topography effects and water vapor phase transition process. This modified climate model is...

Authors: Ruxu Lian and Jieqiong Ma

The entropy weak solution to a generalized Fornberg–Whitham equation

Authors: Nan Li and Shaoyong Lai

Unique identification of a multi-layered fluid–solid medium

This paper is concerned with the inverse scattering of time-harmonic acoustic plane waves by a multi-layered fluid–solid medium in the three dimensional space. We establish the global uniqueness in identifying...

Authors: Yanli Cui, Xiliang Li and Fenglong Qu

Retraction Note: Boundary behaviors of modified Green’s function with respect to the stationary Schrödinger operator and its applications

The Editors-in-Chief have retracted this article [1] because it significantly overlaps with a number of previously published articles from different authors [2–4]. The author has not responded to any correspon...

Authors: Zhiqiang Li

Zero Mach number limit of the compressible Euler–Korteweg equations

In this paper, we investigate the zero Mach number limit for the three-dimensional compressible Euler–Korteweg equations in the regime of smooth solutions. Based on the local existence theory of the compressib...

Authors: Yeping Li and Gang Zhou

Study of impulsive fractional differential equation under Robin boundary conditions by topological degree method

This research work is dedicated to investigating a class of impulsive fractional order differential equations under the Robin boundary conditions via the application of topological degree theory (TDT). We esta...

Authors: Atta Ullah, Kamal Shah, Thabet Abdeljawad, Rahmat Ali Khan and Ibrahim Mahariq

Nonlinear fractional differential equation involving two mixed fractional orders with nonlocal boundary conditions and Ulam–Hyers stability

In this paper, we study a nonlinear fractional differential equation involving two mixed fractional orders with nonlocal boundary conditions. By using some new techniques, we introduce a formula of solutions f...

Authors: Fang Li, Wenjing Yang and Huiwen Wang

Renormalization for the Laplacian and global well-possness of the Landau–Lifshitz–Gilbert equation in dimensions \(n \geq3\)

Authors: Penghong Zhong, Fengong Wu and Shengxiang Tang

Attractors for the nonclassical reaction–diffusion equations on time-dependent spaces

Authors: Kaixuan Zhu, Yongqin Xie and Feng Zhou

The spectral implementation of the nonstationary Stokes problem with nonstandard boundary conditions

This paper deals with the implementation of the spectral discretization of the vorticity–velocity–pressure formulation of the nonstationary Stokes problem. We use the implicit Euler scheme for the discretizati...

Authors: Mohamed Abdelwahed, Nejmeddine Chorfi and Henda Ouertani

An application of Phragmén–Lindelöf theorem to the existence of ground state solutions for the generalized Schrödinger equation with optimal control

In this paper, we develop optimal Phragmén–Lindelöf methods, based on the use of maximum modulus of optimal value of a parameter in a Schrödinger functional, by applying the Phragmén–Lindelöf theorem for a sec...

Authors: Chaofeng Zhang and Rong Hu

Well-posedness of a Neumann-type problem on a gauge ball in H-type groups

We discuss the existence and uniqueness of solution for the second boundary value problem of potential theory often referred to as the Neumann problem, on a gauge ball for the canonical sub-Laplacian in H-type gr...

Authors: Mukund Madhav Mishra and Ashutosh Pandey

A fast multiscale Galerkin algorithm for solving boundary value problem of the fractional Bagley–Torvik equation

In this paper, a fast multiscale Galerkin algorithm is developed for solving the boundary value problem of the fractional Bagley–Torvik equation. For this purpose, we employ multiscale orthogonal functions hav...

Authors: Jian Chen

Global existence and exponential decay of solutions for generalized coupled non-degenerate Kirchhoff system with a time varying delay term

The paper studies a system of nonlinear viscoelastic Kirchhoff system with a time varying delay and general coupling terms. We prove the global existence of solutions in a bounded domain using the energy and F...

Authors: Nadia Mezouar and Salah Boulaaras

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

The main purpose of this paper is to investigate the existence of a positive periodic solution for a prescribed mean curvature generalized Liénard equation with a singularity (weak and strong singularities of ...

Authors: Yun Xin and Zhibo Cheng

Existence of positive radial solution for Neumann problem on the Heisenberg group

Authors: F. Safari and A. Razani

Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains

We study the existence and multiplicity of positive radial solutions for a coupled elliptic system in exterior domains where the nonlinearities depend on the gradients and the boundary conditions are nonlocal....

Authors: Filomena Cianciaruso, Luigi Muglia and Paolamaria Pietramala

Retraction Note: Boundary value behaviors for solutions of the equilibrium equations with angular velocity

The Editors-in-Chief have retracted this article [1] because it significantly overlaps with an article from other authors that was simultaneously under consideration at another journal [2]. Additionally, the a...

Authors: Jiaofeng Wang, Jun Pu, Bin Huang and Guojian Shi

Initial boundary value problem for generalized Zakharov equations with nonlinear function terms

In this paper, we consider the initial boundary value problem for generalized Zakharov equations. Firstly, we prove the existence and uniqueness of the global smooth solution to the problem by a priori integra...

Authors: Xueqin Wang, Yadong Shang and Chunlin Lei