Results 51 to 60 of about 3,411,820 (225)

On the spectrum of a stationary problem with nonlocal integral type boundary condition

open access: yesLietuvos Matematikos Rinkinys, 2004
We investigated a eigenvalue problem for simple second order ordinary differential equation with one inte­gral type nonlocal boundary condition. The eigenvalues and eigenfunctions of such problem are depending on few parameters in the nonlocal boundary ...
Sigita Pečiulytė   +2 more
doaj   +3 more sources

Modified Crank-Nicolson Difference Schemes for Nonlocal Boundary Value Problem for the Schrödinger Equation

open access: yesDiscrete Dynamics in Nature and Society, 2009
The nonlocal boundary value problem for Schrödinger equation in a Hilbert space is considered. The second-order of accuracy 𝑟-modified Crank-Nicolson difference schemes for the approximate solutions of this nonlocal boundary value problem are presented ...
Allaberen Ashyralyev, Ali Sirma
doaj   +1 more source

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

open access: yesLietuvos Matematikos Rinkinys, 2022
We analyze the initial value problem and get asymptotic expansions for solution. We investigate the characteristic equation for Sturm-Liouville problem with one classical Robin type boundary condition and another two-point nonlocal boundary condition ...
Artūras Štikonas
doaj   +1 more source

Roles of weight functions to a nonlinear porous medium equation with nonlocal source and nonlocal boundary condition [PDF]

open access: yes, 2008
In this paper we investigates the blow-up properties of the positive solutions to a porous medium equation with nonlocal reaction source and with nonlocal boundary condition, we obtain the blow-up condition and its blow-up rate ...
Cui, Zhoujin, Yang, Zuodong
core   +1 more source

Existence of solution for Hilfer fractional differential problem with nonlocal boundary condition [PDF]

open access: yes, 2021
This paper is devoted to study the existence of a solution to Hilfer fractional differential equation with nonlocal boundary condition in Banach spaces.
BHAIRAT, Sandeep P.   +3 more
core   +1 more source

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

open access: yesAdvanced Energy Materials, EarlyView.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park   +19 more
wiley   +1 more source

Investigation of the spectrum of the Sturm–Liouville problem with a nonlocal integral condition

open access: yesLietuvos Matematikos Rinkinys, 2013
This paper presents some new results on the spectrum for the second order dif-ferential problem with one integral type nonlocal boundary condition (NBC).
Agnė Skučaitė, Artūras Štikonas
doaj   +1 more source

An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems

open access: yes, 2020
In this paper we consider 2D nonlocal diffusion models with a finite nonlocal horizon parameter δ characterizing the range of nonlocal interactions, and consider the treatment of Neumann-like boundary conditions that have proven challenging for ...
Huaiqian You   +5 more
core   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

open access: yesAdvanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows   +7 more
wiley   +1 more source

First-Order Partial Differential Equation with a Nonlocal Boundary Condition

open access: yes, 2017
In this paper, the initial value problem for the first-order partial differential equation with the nonlocal boundary condition is studied. The positivity of the space operator A(x) generated by this problem in interpolation spaces is established.
Erdogan, Abdullah S.   +3 more
core   +1 more source

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