Results 91 to 100 of about 13,240 (282)

Singular perturbation in a nonlocal diffusion problem

open access: yes, 2020
. We study a singular perturbation problem for a nonlocal evolution operator. The problem appears in the analysis of the propagation of flames in the high activation energy limit, when admitting nonlocal effects.
Noemi Wolanski, Claudia Lederman
core  

Uniqueness Criterion for Solution of Abstract Nonlocal Cauchy Problem

open access: yes, 1993
The aim of the paper is to prove an uniqueness criterion for a solution of an abstract nonlocal Cauchy problem. A dissipative operator in the nonlocal problem and an arbitrary functional in the nonlocal condition are considered.
Byszewski, Ludwik
core   +1 more source

Nonlocal elliptic equation in Holder space and the martingale problem

open access: yes, 2022
Ling C, Zhao G. Nonlocal elliptic equation in Holder space and the martingale problem. Journal of Differential Equations. 2022;314:653-699.The well-posedness of nonlocal elliptic equation with singular drift is investigated in Besov-Holder spaces.
Zhao, Guohuan, Ling, Chengcheng
core   +1 more source

Nonlocal active sound control for composite regions

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
In the active sound control problem, additional sound sources, known as control sources, are implemented at the perimeter of a protected domain. The control sources can generate secondary sound inside the shielded domain, which attenuates incoming noise. This leads to an inverse source problem.
Nan Hu, Sergey Utyuzhnikov
wiley   +1 more source

Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition

open access: yesLietuvos Matematikos Rinkinys, 2013
In this paper, we analyze the Sturm–Liouville problem with one classical first type boundary condition and the other Samarskii–Bitsadze type nonlocal boundary condition.
Kristina Skučaitė-Bingelė   +1 more
doaj   +1 more source

On a class of nonlocal problem involving a critical exponent [PDF]

open access: yes, 2015
summary:In this work, by using the Mountain Pass Theorem, we give a result on the existence of solutions concerning a class of nonlocal $p$-Laplacian Dirichlet problems with a critical nonlinearity and small ...
Ourraoui, Anass
core   +1 more source

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang   +5 more
wiley   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis   +2 more
wiley   +1 more source

Nonlocal isoperimetric problems

open access: yes, 2014
Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
di Castro, Agnese   +3 more
openaire   +3 more sources

Spectral properties of non-local uniformly-elliptic operators [PDF]

open access: yes, 2006
In this paper we consider the spectral properties of a class of non-local uniformly elliptic operators, which arise from the study of non-local uniformly elliptic partial differential equations. Such equations arise naturally in the study of a variety of
Niall Dodds   +3 more
core  

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