Results 71 to 80 of about 3,830 (160)

Nonlocal problems for hyperbolic equations from the viewpoint of strongly regular boundary conditions

Electronic Journal of Differential Equations, 2020
In this article, we consider a nonlocal problem for hyperbolic equation with integral conditions and show their close connection with the notion of strongly regular boundary conditions.
Ludmila S. Pulkina
doaj  

Torsional vibration of cracked carbon nanotubes with torsional restraints using Eringen’s nonlocal differential model

Journal of Low Frequency Noise, Vibration and Active Control, 2019
Free torsional vibration of cracked carbon nanotubes with elastic torsional boundary conditions is studied. Eringen’s nonlocal elasticity theory is used in the analysis. Two similar rotation functions are represented by two Fourier sine series.
Mustafa Ö Yayli, Suheyla Y Kandemir, Ali E Çerçevik   +2 more
doaj   +1 more source

Positive solutions of a boundary value problem with integral boundary conditions

Electronic Journal of Differential Equations, 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 $mu^*, lambda ...
Jeff R. L. Webb
doaj  

Determination of the Appropriate Gradient Elasticity Theory for Bending Analysis of Nano-beams by Considering Boundary Conditions Effect

Latin American Journal of Solids and Structures
In the present paper, a critique study on some models available in the literature for bending analysis of nano-beams using the gradient elasticity theory is accomplished.
Mahmood Mehrdad Shokrieh, Iman Zibaei
doaj   +1 more source

Global existence and blow-up of solutions for parabolic systems with nonlinear nonlocal boundary conditions

Electronic Journal of Differential Equations, 2013
In this article we study a nonlinear parabolic system with nonlinear nonlocal boundary conditions. We prove the uniqueness of the solutions and establish the conditions for global solutions and non-global solutions.
Zhou Sen, Zuodong Yang
doaj  

Nonlocal problems with Neumann boundary conditions

, 2014
We introduce a new Neumann problem for the fractional Laplacian arising from a simple probabilistic consideration, and we discuss the basic properties of this model. We can consider both elliptic and parabolic equations in any domain. In addition,we formulate problems with nonhomogeneous Neumann conditions, and also with mixed Dirichlet and Neumann ...
Dipierro, Serena, Ros-Oton, Xavier, Valdinoci, Enrico   +2 more
openaire   +2 more sources

NONLOCAL BOUNDARY CONDITIONS FOR THE NAVIER–STOKES EQUATIONS [PDF]

Waves and Stability in Continuous Media, 2006
LOMBARDO, Maria Carmela, SAMMARTINO, Marco Maria Luigi   +1 more
openaire   +2 more sources

On the initial-boundary value problem for a nonlocal parabolic equation with nonlocal boundary condition

Журнал Белорусского государственного университета: Математика, информатика, 2018
We consider a nonlinear nonlocal parabolic equation ut = Δu + a(x,t)ur∫Ωup(y,t)dy - b(x,t)uq for (x,t) ∈ Ω × (0,+∞) with nonlinear nonlocal boundary condition u(x,t)|∂Ω × (0,+∞) = ∫Ωk(x,y,t)ul(y,t)dy and initial data u(x,0) = u0(x), x ∈ Ω, where r, p, q, l are positive constants; Ω is a bounded domain in Rn with smooth boundary ∂Ω.
Alexander L. Gladkov, Tatiana V. Kavitova   +1 more
openaire   +1 more source

Challenges in nonlocal modeling: nonlocal boundary conditions and nonlocal interfaces.

Proposed for presentation at the WCCM 2020 held January 11-15, 2021 in Virtual., 2020
openaire   +2 more sources

Impact of internal heat source and rotation on a nonlocal thermoelastic solid with pores via the moore-gibson-thompson framework. [PDF]

Sci Rep
Othman MIA, Said SM, Eraki EEM, Gamal EM.   +3 more
europepmc   +1 more source