Results 31 to 40 of about 424 (60)

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

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

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

Nontrivial solutions of systems of Hammerstein integral equations with first derivative dependence

open access: yes, 2017
By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations where the nonlinearities are allowed to depend on the first
Infante, Gennaro, Minhós, Feliz
core   +1 more source

A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

open access: yesAdvanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
doaj   +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  

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

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

Global behavior of positive solutions for some semipositone fourth-order problems

open access: yesAdvances in Difference Equations, 2018
In this paper, we study the global behavior of positive solutions of fourth-order boundary value problems {u′′′′=λf(x,u),x∈(0,1),u(0)=u(1)=u″(0)=u″(1)=0, $$ \textstyle\begin{cases} u''''=\lambda f(x,u), \quad x\in (0,1), \\ u(0)=u(1)=u''(0)=u''(1)=0 ...
Dongliang Yan, Ruyun Ma
doaj   +1 more source

High Multiplicity and Chaos for an Indefinite Problem Arising from Genetic Models

open access: yesAdvanced Nonlinear Studies, 2020
We deal with the periodic boundary value problem associated with the parameter-dependent second-order nonlinear differential ...
Boscaggin Alberto   +2 more
doaj   +1 more source

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