Results 61 to 70 of about 96,434 (313)
Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
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
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One-loop analysis with nonlocal boundary conditions
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
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An Eigenvalue Problem for Nonlocal Equations
Bruno Pini Mathematical Analysis Seminar, Seminars ...
Molica Bisci, Giovanni +1 more
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Nonlocal Random Motions and the Trapping Problem [PDF]
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
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In the paper, the stability and convergence of difference schemes approximating semilinear parabolic equation with a nonlocal condition are considered.
Regimantas Čiupaila +2 more
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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
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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,
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Equilibrium Propagation for Dissipative Dynamics
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
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
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Generalized Solutions of Nonlocal Elliptic Problems [PDF]
18 pages, 2 ...
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