Results 61 to 70 of about 3,849,109 (255)

Extension the Noether's theorem to Lagrangian formulation with nonlocality

, 2012
A Lagrangian formulation with nonlocality is investigated in this paper. The nonlocality of the Lagrangian is introduced by a new nonlocal argument that is defined as a nonlocal residual satisfying the zero mean condition.
Atkinson C., Edelen DGB., Eringen AC., Goldstein H   +3 more
core   +1 more source

New Results on a Nonlocal Sturm–Liouville Eigenvalue Problem with Fractional Integrals and Fractional Derivatives

Fractal and Fractional
In this paper, we investigate the eigenvalue properties of a nonlocal Sturm–Liouville equation involving fractional integrals and fractional derivatives under different boundary conditions.
Yunyang Zhang, Shaojie Chen, Jing Li
doaj   +1 more source

Existence and stability for fractional parabolic integro-partial differential equations with fractional Brownian motion and nonlocal condition

, 2018
In this paper, a nonlinear fractional parabolic stochastic integro-partial differential equations with nonlocal effects driven by a fractional Brownian motion is considered.
M. El-Borai, K. El-Nadi, H. Ahmed, H. El-Owaidy, A. Ghanem, R. Sakthivel   +5 more
semanticscholar   +1 more source

Chebyshev iteration for the problem with nonlocal boundary condition

Lietuvos Matematikos Rinkinys, 2004
We considered Poisson differential equation with Dirichlet boundary conditions and one nonlocal boundary condition. Finite-difference scheme was investigated for this problem.
Mifodijus Sapagovas, Artūras Štikonas, Olga Štikonienė   +2 more
doaj   +3 more sources

Finite-Approximate Controllability for Fractional Composite Relaxation Equations with Different Nonlocal Conditions

Fractal and Fractional
In this paper, the finite-approximate controllability for a class of fractional composite relaxation equations with different nonlocal conditions is discussed.
Yixing Liang, Zhenbin Fan, Gang Li
doaj   +1 more source

Investigation of a discrete Sturm–Liouville problem with two-point nonlocal boundary condition and natural approximation of a derivative in boundary condition

Mathematical Modelling and Analysis
The article investigates a discrete Sturm–Liouville problem with one natural boundary condition and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this
Kristina Bingelė, Artūras Štikonas
doaj   +1 more source

Roles of Weight Functions to a Nonlocal Porous Medium Equation with Inner Absorption and Nonlocal Boundary Condition

Abstract and Applied Analysis, 2012
This work is concerned with an initial boundary value problem for a nonlocal porous medium equation with inner absorption and weighted nonlocal boundary condition.
Zhong Bo Fang, Jianyun Zhang, Su-Cheol Yi   +2 more
doaj   +1 more source

A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime

, 2017
We consider bounded solutions of the nonlocal Allen-Cahn equation $$ (-\Delta)^s u=u-u^3\qquad{\mbox{ in }}{\mathbb{R}}^3,$$ under the monotonicity condition $\partial_{x_3}u>0$ and in the genuinely nonlocal regime in which~$s\in\left(0,\frac12\right ...
Dipierro, Serena, Farina, Alberto, Valdinoci, Enrico   +2 more
core   +2 more sources

On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions [PDF]

Journal of Siberian Federal University. Mathematics & Physics, 2019
Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper.
Rakhmonov, Zafar R., Urunbayev, Jasur E.
openaire   +1 more source

Investigation of Negative Critical Points of the Characteristic Function for Problems with Nonlocal Boundary Conditions

Nonlinear Analysis, 2008
In this paper the Sturm-Liouville problem with one classical and the other nonlocal two-point or integral boundary condition is investigated. Critical points of the characteristic function are analyzed.
S. Pečiulytė, O. Štikonienė, A. Štikonas   +2 more
doaj   +1 more source