Results 11 to 20 of about 120 (57)

Existence of multiple positive solutions for p-Laplacian multipoint boundary value problems on time scales

open access: yesAdvances in Differential Equations, 2013
In this paper, we consider p-Laplacian multipoint boundary value problems on time scales. By using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge, we prove that a boundary value problem has at least three positive ...
A. Dogan
semanticscholar   +1 more source

Boundary Layer Effects on Ionic Flows Via Classical Poisson-Nernst-Planck Systems

open access: yesComputational and Mathematical Biophysics, 2018
A quasi-one-dimensional steady-state Poisson-Nernst-Planck model of two oppositely charged ion species through a membrane channel is analyzed. The model problem is treated as a boundary value problem of a singularly perturbed differential system.
Zhang Mingji
doaj   +1 more source

On singular $p$-Laplacian problems

open access: yesDifferential and Integral Equations, 2007
In this work we combine perturbation arguments and variational methods to prove the existence and uniqueness results for singular p-Laplacian problems.
K. Perera, Elves A. B. Silva
semanticscholar   +1 more source

Solvability for system of nonlinear singular differential equations with integral boundary conditions

open access: yesBoundary Value Problems, 2014
By using the Banach contraction principle and the Leggett-Williams fixed point theorem, this paper investigates the uniqueness and existence of at least three positive solutions for a system of mixed higher-order nonlinear singular differential equations
Yaohong Li, Haiyan Zhang
semanticscholar   +2 more sources

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

open access: yesAdvances in Differential Equations, 2014
Sufficient conditions are presented for the existence of positive periodic solutions for a third-order nonlinear differential equation with singularity. Besides, an example is given to illustrate the results. MSC:34K13, 34B16, 34B18.
Zhibo Cheng
semanticscholar   +1 more source

On singularly weighted generalized Laplacian systems and their applications

open access: yesAdvances in Nonlinear Analysis, 2018
We study the homogeneous Dirichlet boundary value problem of generalized Laplacian systems with a singular weight which may not be integrable. Some explicit intervals which correspond to the existence and nonexistence of positive solutions for the system
Xu Xianghui, Lee Yong-Hoon
doaj   +1 more source

The nonlinear Kneser problem for singular in phase variables second-order differential equations

open access: yesBoundary Value Problems, 2014
For the singular in phase variables differential equation u″=f(t,u,u′), sufficient conditions are found for the existence of a solution satisfying the conditions φ(u)=c,u(t)>0,u′(t)0, where φ:C([
N. Partsvania, B. Puza
semanticscholar   +2 more sources

Second-order initial value problems with singularities

open access: yesBoundary Value Problems, 2014
Using barrier strip arguments, we investigate the existence of C[0,T]∩C2(0,T]-solutions to the initial value problem x″=f(t,x,x′), x(0)=A, limt→0+x′(t)=B, which may be singular at x=A and x′=B.MSC: 34B15, 34B16, 34B18.
P. Kelevedjiev, N. Popivanov
semanticscholar   +2 more sources

Periodic solutions for second order differential equations with indefinite singularities

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper, the problem of periodic solutions is studied for second order differential equations with indefinite ...
Lu Shiping, Yu Xingchen
doaj   +1 more source

One-dimensional singular problems involving the p-Laplacian and nonlinearities indefinite in sign

open access: yesAdvances in Nonlinear Analysis, 2016
Let Ω be a bounded open interval, let p>1${p>1}$ and γ>0${\gamma>0}$, and let m:Ω→ℝ${m:\Omega\rightarrow\mathbb{R}}$ be a function that may change sign in Ω.
Kaufmann Uriel, Medri Iván
doaj   +1 more source

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