Results 61 to 70 of about 96,434 (313)

Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition

open access: yesNonlinear 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

One-loop analysis with nonlocal boundary conditions

open access: yes, 2019
In the eighties, Schroder studied a quantum mechanical model where the stationary states of Schrodinger's equation obey nonlocal boundary conditions on a circle in the plane.
Di Grezia, Elisabetta   +1 more
core   +1 more source

An Eigenvalue Problem for Nonlocal Equations

open access: yesBruno Pini Mathematical Analysis Seminar, 2016
Bruno Pini Mathematical Analysis Seminar, Seminars ...
Molica Bisci, Giovanni   +1 more
openaire   +3 more sources

Nonlocal Random Motions and the Trapping Problem [PDF]

open access: yesActa Physica Polonica B, 2015
L vy stable (jump-type) processes are examples of intrinsically nonlocal random motions. This property becomes a serious obstacle if one attempts to model conditions under which a particular L vy process may be subject to physically implementable manipulations, whose ultimate goal is to confine the random motion in a spatially finite, possibly ...
Garbaczewski, Piotr, Żaba, Mariusz
openaire   +2 more sources

M-matrices and convergence of finite difference scheme for parabolic equation with integral boundary condition

open access: yesMathematical Modelling and Analysis, 2020
In the paper, the stability and convergence of difference schemes approximating semilinear parabolic equation with a nonlocal condition are considered.
Regimantas Čiupaila   +2 more
doaj   +1 more source

The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials

open access: yes, 2011
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity.
A Erkip   +14 more
core   +1 more source

The nonlocal Neumann problem

open access: yes, 2023
Instead of presuming only local interaction, we assume nonlocal interactions. By doing so, mass at a point in space does not only interact with an arbitrarily small neighborhood surrounding it, but it can also interact with mass somewhere far, far away. Thus, mass jumping from one point to another is also a possibility we can consider in our models. So,
openaire   +2 more sources

Equilibrium Propagation for Dissipative Dynamics

open access: yesAdvanced Intelligent Systems, EarlyView.
This work develops local learning rules for damped linear dynamical systems, including mechanical structures and resistor‐inductor‐capacitor (RLC) circuits, by leveraging an effective action formulation. It demonstrates how physical systems can autonomously compute gradients and learn temporal patterns, enabling applications such as sound ...
Marc Berneman, Daniel Hexner
wiley   +1 more source

Problem involving nonlocal operator

open access: yes, 2017
The aim of this paper is to deal with the elliptic pdes involving a nonlinear integrodifferential operator, which are possibly degenerate and covers the case of fractional $p$-Laplacian operator. We prove the existence of a solution in the weak sense to the problem \begin{align*} \begin{split} -\mathscr{L}_ u & = |u|^{q-2}u\,\,\mbox{in}\,\, ,\\
Giri, Ratan Kr.   +2 more
openaire   +2 more sources

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