Results 41 to 50 of about 95 (93)

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

Existence and monotone iteration of symmetric positive solutions for integral boundary-value problems with ?-Laplacian operator

open access: yes, 2014
The purpose of this paper is to investigate the existence and iteration of symmetric positive solutions for integral boundary-value problems. An existence result of positive, concave and symmetric solutions and its monotone iterative scheme are ...
Hamal N.A., Cerdik T.S.
core   +1 more source

Delayed nonlocal reaction–diffusion model for hematopoietic stem cell dynamics with Dirichlet boundary conditions [PDF]

open access: yes, 2017
International audienceThe paper focuses on the mathematical analysis and modeling of hematopoietic stem cell (HSC) dynamics that lead to the production and regulation of blood cells in the bone morrow.
T. Kuniya   +5 more
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

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

On singular φ−Laplacian BVPs of nonlinear fractional differential equation [PDF]

open access: yes
This paper investigates the existence of multiple positive solutions for a class of φ−Laplacian boundary value problem with a nonlinear fractional differential equation and fractional boundary conditions.
TEMAR, Bahia   +2 more
core   +1 more source

Properties of unique positive solution for fractional boundary value problem with two parameters on infinite interval

open access: yesDemonstratio Mathematica
In this paper, we concern a class of two-parameter nonlinear fractional differential equation on infinite interval and obtain the unique positive solution via the theory of cones and operators.
Gu Qianqian, Hao Zhaocai
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

k-convex solutions for multiparameter Dirichlet systems with k-Hessian operator and Lane-Emden type nonlinearities

open access: yesAdvances in Nonlinear Analysis
In this article, our main aim is to investigate the existence of radial kk-convex solutions for the following Dirichlet system with kk-Hessian operators: Sk(D2u)=λ1ν1(∣x∣)(−u)p1(−v)q1inℬ(R),Sk(D2v)=λ2ν2(∣x∣)(−u)p2(−v)q2inℬ(R),u=v=0on∂ℬ(R).\left\{\begin ...
He Xingyue, Gao Chenghua, Wang Jingjing
doaj   +1 more source

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