Results 41 to 50 of about 102 (96)

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

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

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

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

Properties of the set of positive solutions to Dirichlet boundary value problems with time singularities

open access: yes, 2020
The paper investigates the structure and properties of the set S of all positive solutions to the singular Dirichlet boundary value problem Mathematics Subject Classification 2010: 34B18, 34B16, 34A12 Key words: Singular ordinary differential equation ...
Svatoslav Staněk, Irena Rachůnková
core  

Existence and multiplicity of positive solutions for multiparameter periodic systems

open access: yesOpen Mathematics
We deal with the existence and multiplicity of positive solutions for differential systems depending on two parameters, λ1,λ2{\lambda }_{1},{\lambda }_{2}, subjected to periodic boundary conditions.
Wei Liping, Dai Yongqiang, Su Shunchang
doaj   +1 more source

Existence of positive solutions to impulsive nonlinear differential systems of second order with two-point boundary conditions

open access: yes
In this paper the authors consider the existence of positive solutions to a two point boundary value problem for nonlinear second-order impulsive systems.
KADARI, Halima   +3 more
core   +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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