Results 11 to 20 of about 3,849,109 (255)

On some problems with nonlocal integral condition

open access: yesMathematical Modelling and Analysis, 2010
We study the second order nonlinear boundary value problems with non‐local integral conditions and construct the Fučík type spectrum for these problems.
Natalija Sergejeva
doaj   +4 more sources

NEUMANN BOUNDARY CONDITION FOR A NONLOCAL BIHARMONIC EQUATION

open access: diamondBulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2022
The solvability conditions for a class of boundary value problems for a nonlocal biharmonic equation in the unit ball with the Neumann conditions on the boundary are studied. The nonlocality of the equation is generated by some orthogonal matrix. The presence and uniqueness of a solution to the proposed Neumann boundary condition is examined, and an ...
Batirkhan Turmetov   +1 more
openalex   +4 more sources

Conditions for logical contextuality and nonlocality [PDF]

open access: yesPhysical Review A, 2021
Contextuality and nonlocality are nonclassical properties exhibited by quantum statistics whose implications profoundly impact both the foundations and applications of quantum theory. In this paper we provide some insights into logical contextuality and inequality-free proofs.
Leonardo Santos, Barbara Amaral
openaire   +3 more sources

On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization [PDF]

open access: yesJournal of Differential Equations, 2020
The Cahn--Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. In recent times, various dynamic boundary conditions have been introduced to model interactions of the materials with the boundary more precisely.
P. Knopf, A. Signori
semanticscholar   +6 more sources

The Airy equation with nonlocal conditions

open access: yesStudies in Applied Mathematics, 2023
AbstractWe study a third‐order dispersive linear evolution equation on the finite interval subject to an initial condition and inhomogeneous boundary conditions but, in place of one of the three boundary conditions that would typically be imposed, we use a nonlocal condition, which specifies a weighted integral of the solution over the spatial interval.
B. Normatov, D. A. Smith
openaire   +2 more sources

Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition [PDF]

open access: yesBoletín de la Sociedad Matematica Mexicana, 2022
In this paper, we develop two approaches to investigation of inverse spectral problems for a new class of nonlocal operators on metric graphs. The Laplace differential operator is considered on a star-shaped graph with nonlocal integral matching ...
N. Bondarenko
semanticscholar   +1 more source

MHD Oldroyd-B Fluid with Slip Condition in view of Local and Nonlocal Kernels

open access: green, 2021
Muhammad Bilal Riaz   +3 more
openalex   +3 more sources

The effect of a new two-point nonlocal condition on the eigenvalue problem of the difference scheme for an elliptic partial differential equation

open access: yesAlexandria Engineering Journal, 2022
In this paper, a new form of two-point nonlocal boundary conditions is presented. This condition generalizes a Dirichlet condition at one boundary and a mixed condition at the other one.
S.M. Helal, A. Elmekawy
doaj   +1 more source

Asymptotic analysis of Sturm-Liouville problem with Dirichlet and nonlocal two-point boundary conditions

open access: yesMathematical Modelling and Analysis, 2023
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
doaj   +1 more source

Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients

open access: yesBoundary Value Problems, 2023
This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, Babenko’s approach, and Banach’s contractive ...
Chenkuan Li
semanticscholar   +1 more source

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