Results 31 to 40 of about 484,592 (357)

Sturm–Liouville problem with two point nonlocal second type boundary condition

Lietuvos Matematikos Rinkinys, 2005
The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated.
Sigita Pečiulytė, Artūras Štikonas
doaj   +1 more source

Variational Theory and Domain Decomposition for Nonlocal Problems [PDF]

, 2011
In this article we present the first results on domain decomposition methods for nonlocal operators. We present a nonlocal variational formulation for these operators and establish the well-posedness of associated boundary value problems, proving a ...
Aksoylu, Burak, Parks, Michael L.
core   +5 more sources

Neumann Casimir effect: a singular boundary-interaction approach [PDF]

, 2010
Dirichlet boundary conditions on a surface can be imposed on a scalar field, by coupling it quadratically to a $\delta$-like potential, the strength of which tends to infinity.
Bordag, Bordag, Bordag, C.D. Fosco, Deutsch, Estrada, F.C. Lombardo, F.D. Mazzitelli, Fosco, Fosco, Fosco, Genet, Gies, Gilkey, Golestanian, Graham, Jeffreys, Lamoreaux, Lifshitz, Milton, Milton, Milton, Milton, Reynaud   +23 more
core   +3 more sources

On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition

Mathematical Modelling and Analysis, 2007
Positive eigenvalues and corresponding eigenfunctions of the linear Sturm‐Liouville problem with one classical boundary condition and another nonlocal two‐point boundary condition are considered in this paper.
Sigita Pečiulytė, Artūras Štikonas
doaj   +1 more source

Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions

Boundary Value Problems, 2018
In this paper, we focus on the existence and asymptotic analysis of positive solutions for a class of singular fractional differential equations subject to nonlocal boundary conditions.
Jianxin He, Xinguang Zhang, Lishan Liu, Yonghong Wu, Yujun Cui   +4 more
semanticscholar   +1 more source

A nonlocal sinusoidal plate model for micro/nanoscale plates [PDF]

, 2014
A nonlocal sinusoidal plate model for micro/nanoscale plates is developed based on Eringen’s nonlocal elasticity theory and sinusoidal shear deformation plate theory.
Lee, Jaehong, Nguyen, Trung-Kien, Thai, Huu-Tai, Vo, Thuc   +3 more
core   +1 more source

Finite Elements for Helmholtz Equations with a Nonlocal Boundary Condition [PDF]

SIAM Journal on Scientific Computing, 2021
Numerical resolution of exterior Helmholtz problems requires some approach to domain truncation. As an alternative to approximate nonreflecting boundary conditions and invocation of the Dirichlet-to-Neumann map, we introduce a new, nonlocal boundary condition.
Robert C. Kirby, Andreas Klöckner, Ben Sepanski   +2 more
openaire   +3 more sources

On a boundary value problem of arbitrary orders differential inclusion with nonlocal, integral and infinite points boundary conditions

AIMS Mathematics, 2022
In this work, we are concerned with a boundary value problem of fractional orders differential inclusion with nonlocal, integral and infinite points boundary conditions. We prove some existence results for that nonlocal boundary value problem.
A. M. A. El-Sayed, W. G. El-Sayed, Somyya S. Amrajaa   +2 more
doaj   +1 more source

Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity [PDF]

, 2010
We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that the associated Cauchy problem is globally well-posed with non-zero ...
André de Laire, Béthuel F., Béthuel F., Cazenave T., Coste C., Fasshauer G.E., Grafakos L., Gustafson S., Gérard P., Hörmander L., Krantz S.G., Lebedev N.N., Pitaevskii L.P., Schwartz L., Stein E.M., Yi S.   +15 more
core   +3 more sources

An elliptic singular system with nonlocal boundary conditions [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2012
Abstract We study the existence of solutions for the nonlinear second order elliptic system Δ u + g ( u ) = f ( x ) , where g ∈ C ( R N ∖ S , R N ) with S ⊂ R N bounded. Using topological degree methods, we prove an existence result under a geometric condition on g .
Manuel Maurette, Manuel Maurette, Pablo Amster, Pablo Amster   +3 more
openaire   +3 more sources