Results 41 to 50 of about 650 (101)

Mixed monotone operator methods for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems

open access: yes, 2013
This work is concerned with the existence and uniqueness of positive solutions for the following fractional boundary value problem: {−D0+νy(t)=f(t,y(t),y(t))+g(t,y(t ...
C. Zhai, Mengru Hao
semanticscholar   +1 more source

Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations

open access: yesAdvances in Differential Equations, 2014
In this paper, we study the existence of solutions for the boundary value problem of the following nonlinear fractional differential equation: D0+α[x(t)f(t,x(t))]+g(t,x(t))=0 ...
Yige Zhao, Yuzhen Wang
semanticscholar   +1 more source

A Sub-Supersolution Approach for a Quasilinear Kirchhoff Equation

open access: yes, 2014
In this paper we establish an existence result for a quasilinear Kirchhoff equation via a sub and supersolution approach, by using the pseudomonotone operators ...
Alves, Claudianor O.   +1 more
core   +1 more source

A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

open access: yesAdvanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
doaj   +1 more source

S-shaped connected component of radial positive solutions for a prescribed mean curvature problem in an annular domain

open access: yesOpen Mathematics, 2019
In this paper, we show the existence of an S-shaped connected component in the set of radial positive solutions of boundary value ...
Xu Man, Ma Ruyun
doaj   +1 more source

Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus

open access: yesAdvanced Nonlinear Studies, 2021
The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case ...
Goodrich Christopher S.
doaj   +1 more source

Positive solutions for a class of superlinear semipositone systems on exterior domains

open access: yes, 2014
We study the existence of a positive radial solution to the nonlinear eigenvalue problem −Δu=λK1(|x|)f(v) in Ωe, −Δv=λK2(|x|)g(u) in Ωe, u(x)=v(x)=0 if |x|=r0 (>0), u(x)→0, v(x)→0 as |x|→∞, where λ>0 is a parameter, Δu=div(∇u) is the Laplace operator, Ωe=
A. Abebe   +3 more
semanticscholar   +1 more source

New results for the Liebau phenomenon via fixed point index

open access: yes, 2016
We prove new results regarding the existence of positive solutions for a nonlinear periodic boundary value problem related to the Liebau phenomenon. As a consequence we obtain new sufficient conditions for the existence of a pump in a simple model.
Cid, José Ángel   +3 more
core   +1 more source

Positive solutions for a fourth-order p-Laplacian boundary value problem with impulsive effects

open access: yesBoundary Value Problems, 2013
This paper is devoted to study the existence and multiplicity of positive solutions for the fourth-order p-Laplacian boundary value problem involving impulsive effects {(|y″|p−1y″)″=f(t,y),t∈J,t≠tk,Δy′|t=tk=−Ik(y(tk)),k=1,2,…,m,y(0)=y(1)=y″(0)=y″(1)=0 ...
Keyu Zhang, Jiafa Xu, Weisong Dong
semanticscholar   +1 more source

Positive solutions of a boundary value problem with integral boundary conditions [PDF]

open access: yes, 2011
We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
core  

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