Results 11 to 20 of about 4,882 (216)
Recovering differential operators with nonlocal boundary conditions [PDF]
Analysis and Mathematical Physics, 2015 Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator.
Yurko, Vjacheslav Anatoljevich +1 more
openaire +2 more sources
Characteristics of off-waist incident anomalous vortex beams in highly nonlocal media
Results in Physics, 2017 In this paper, we focus on the effect of the off-waist incident condition on the propagation characteristics of anomalous vortex beams (AVBs) in nonlocal media. An expression is derived mathematically in order to describe the propagation dynamics of AVBs
Zhen-Feng Yang
doaj +1 more source
Conditions for logical contextuality and nonlocality [PDF]
Physical 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 +1 more source
STATIONARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS
Mathematical Modelling and Analysis, 2001 In this article a stationary problems with general nonlocal boundary conditions is considered. The differential problems and finite difference schemes for solving this problem are investigated. Stability estimates are proved in the maximum norm and the non‐negativity of the solution is investigated.
Čiegis, R. +3 more
openaire +5 more sources
Lietuvos Matematikos Rinkinys, 2011 The Sturm–Liouville problem with one classical and another two-point nonlocal boundary condition is considered in this paper. These problems with nonlocal boundary condition are not self-adjoint, so the spectrum has complex points. We investigate how the
Kristina Skučaitė-Bingelė +1 more
doaj +1 more source
Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
Nonlinear Analysis, 2021 In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
doaj +1 more source
On a class of nonlocal problems for hyperbolic equations with degeneration of type and order
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 Nonlocal problems for the second order hyperbolic model equation were studied in the characteristic area. The type and order of equations degenerate on the same line $y = 0$.
Oleg A Repin, Svetlana K Kumykova
doaj +1 more source
Mathematics, 2022 In this paper, the numerical solutions of the backward and forward non-homogeneous wave problems are derived to address the nonlocal boundary conditions.
Chein-Shan Liu +3 more
doaj +1 more source
Difference Schemes with Nonlocal Boundary Conditions
Computational Methods in Applied Mathematics, 2001 AbstractThe paper deals with the stability, with respect to initial data, of difference schemes that approximate the heat-conduction equation with constant coefficients and nonlocal boundary conditions. Some difference schemes are considered for the one-dimensional heat-conduction equation, the energy norm is constructed, and the necessary and ...
Goolin, Alexei V. +2 more
openaire +2 more sources
NONLINEAR VARIATIONAL EVOLUTION INEQUALITIES WITH NONLOCAL CONDITIONS [PDF]
Journal of the Korean Mathematical Society, 2004 The authors prove existence, uniqueness and regularity results for the following nonlinear functional differential problem with nonlocal initial condition: \[ \frac{d}{dt} x(t)+Ax(t)+ \partial\Phi\bigl(x(t)\bigr)\ni f \bigl(t,x(t)+k(t),\bigr),\quad 00\), \(k\in L^2(0,T:H)\) and \(x_0\in\overline{D(\Phi)}\).
Jeong, Jin-Mun +2 more
openaire +1 more source