Zhu, Yu
Published in
Boundary Value Problems

In this paper, the existence of positive periodic solutions is studied for super-linear neutral Liénard equation with a singularity of attractive type (x(t)−cx(t−σ))″+f(x(t))x′(t)−φ(t)xμ(t)+α(t)xγ(t)=e(t),\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackag...

Sun, Bingzhi Jiang, Weihua
Published in
Boundary Value Problems

By defining the Banach spaces endowed with the appropriate norm, constructing a suitable projection scheme, and using the coincidence degree theory due to Mawhin, we study the existence of solutions for functional boundary value problems at resonance on the half-line with dimKerL=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasys...

Song, Shu Zhang, Lingling Zhou, Bibo Zhang, Nan
Published in
Boundary Value Problems

In this thesis, we investigate a kind of impulsive fractional order differential systems involving control terms. By using a class of φ-concave-convex mixed monotone operator fixed point theorem, we obtain a theorem on the existence and uniqueness of positive solutions for the impulsive fractional differential equation, and the optimal control prob...

Soradi-Zeid, Samaneh Mesrizadeh, Mehdi Abdeljawad, Thabet
Published in
Boundary Value Problems

This paper considered the spectral meshless radial point interpolation (SMRPI) method to unravel for the nonlinear p-Laplacian equation with mixed Dirichlet and Neumann boundary conditions. Through this assessment, which includes meshless methods and collocation techniques based on radial point interpolation, we construct the shape functions, with ...

Zhang, Yulian Piskarev, Valery
Published in
Boundary Value Problems

This article has been retracted. Please see the retraction notice for more detail: 10.1186/s13661-015-0363-z.

He, Wei Wu, Qingfang
Published in
Boundary Value Problems

In this paper, we study the following elliptic boundary value problem: {−Δu+V(x)u=f(x,u),x∈Ω,u=0,x∈∂Ω,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \textstyle\begin{...

Ren, Dandan Ding, Yunting Liang, Xinfeng
Published in
Boundary Value Problems

In this paper, we consider the three-dimensional compressible Navier–Stokes equations with density-dependent viscosity and vorticity-slip boundary condition in a bounded smooth domain. The main idea is to derive the uniform estimates for both time and the Mach number. The difficulty is dealing with density-dependent viscosity terms carefully. With ...

Jin, Fengfei Yan, Baoqiang
Published in
Boundary Value Problems

In this paper, we present a theorem for some impulsive boundary problems with derivative dependence by the upper and lower solutions method. Using the theorem obtained, we consider the existence of positive solutions of some class of singular impulsive boundary problems.

Li, Yuanfei Guo, Lianhong Zeng, Peng
Published in
Boundary Value Problems

The aim of this paper is to show some applications of Sobolev inequalities in partial differential equations. With the aid of some well-known inequalities, we derive the existence of global solution for the quasilinear parabolic equations. When the blow-up occurs, we derive the lower bound of the blow-up solution.

Talib, Imran Abdeljawad, Thabet
Published in
Boundary Value Problems

Our main concern in this article is to investigate the existence of solution for the boundary-value problem (ϕ(x′(t))′=g1(t,x(t),x′(t)),∀t∈[0,1],ϒ1(x(0),x(1),x′(0))=0,ϒ2(x(0),x(1),x′(1))=0,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \use...