Results 41 to 50 of about 659 (103)

Corrigendum to: Positive solutions for a fourth order differential inclusion with boundary values, published in Differential Equations and Applications Vol. 8 No. 1 (2016), 21-31, by John S. Spraker

open access: yesDifferential Equations & Applications, 2020
In Theorem 3 of [2] I included an extension to the Ascoli theorem. While the statement of the theorem and its later use were correct, the proof has a slight error which I noticed while in the process of writing a sequel.
John S. Spraker
semanticscholar   +1 more source

Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator [PDF]

open access: yes, 2004
In this paper we extend existing results concerning generalized eigenvalues of Pucci's extremal operators. In the radial case, we also give a complete description of their spectrum, together with an equivalent of Rabinowitz's Global Bifurcation Theorem ...
Alexander Quaas   +36 more
core   +6 more sources

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

Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain

open access: yesOpen Mathematics, 2017
In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-
Jessada Tariboon   +3 more
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

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

Nonlocal boundary value problems for hybrid fractional differential equations and inclusions of Hadamard type

open access: yes, 2015
This paper investigates the existence of solutions for nonlocal boundary value problems of nonlinear hybrid fractional differential equations and inclusions of Hadamard type.
B. Ahmad, S. Ntouyas
semanticscholar   +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

On the solvability of third-order three point systems of differential equations with dependence on the first derivative

open access: yes, 2016
This paper presents sufficient conditions for the solvability of the third order three point boundary value problem \begin{equation*} \left\{ \begin{array}{c} -u^{\prime \prime \prime }(t)=f(t,\,v(t),\,v^{\prime }(t)) \\ -v^{\prime \prime \prime }(t)=h(t,
de Sousa, Robert, Minhós, Feliz
core   +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

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