Results 251 to 260 of about 13,240 (282)

On One Nonlocal Problem with Free Boundary

Ukrainian Mathematical Journal, 2001
The author considers the equation \( \frac{\partial^2 u}{\partial x^2} + \frac{n-1}{x} \frac{\partial u}{\partial x} - g(u) \frac{\partial u} {\partial t}=0\), \(x,t\in{\mathbb R}_+^1\), \(n=1,2,3.\) The function \( g(u)\), \(u>0\) is positive, continuous, decreasing and has integrable singularity at the point \(u=0.\) By means of the functional \( f(u)
Mitropol'skij, Yu. A., Berezovskij, A. A., Netesova, A. M.   +2 more
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Asymptotic stability for a nonlocal parabolic problem

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mingshu Fan, Anyin Xia, Shan Li 0002
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Multiple solutions for degenerate nonlocal problems

Applied Mathematics Letters, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Caristi, Giuseppe, Heidarkhani, Shapour, Salari, Amjad, Tersian, Stepan A.   +4 more
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Nonlocal Problems Governed by Symmetric Nonlocal Operators

Nonlocal boundary value problems with Dirichlet or Neumann boundary are well-studied for nonlocal operators of the type $\mathcal{L}_\gamma u = \operatorname{PV} \int_{\mathbb{R}^d} \big(u(\cdot)-u(y)\big) \gamma(\cdot,y) \, \mathrm{d}y$ where the underlying kernel function $\gamma: \mathbb{R}^d \times \mathbb{R}^d \rightarrow [0,\infty)$ is assumed to
Julia Huschens, Leonhard Frerick, Michael Vu   +2 more
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A note on a nonlocal boundary value problems

Applied Mathematics and Computation, 2004
The author gives an existence result concerning a nonlocal boundary value problem for a second-order ordinary differential equation. The proof is based on the coincidence degree theory. An example illustrating the result is given.
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Nonlocal Problems in Electromagnetism

1987
In this paper we consider two problems in classical electromagnetism that model nonlocal effects. The first is the problem of a conducting body. The Biot-Savart law implies that an electric current causes a magnetic field at distant points in a body.
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Nonlocal Problems

2019
Prof. Dr. Pavol Quittner, Prof. Dr. Philippe Souplet   +1 more
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On a problem for nonlocal mixed-type fractional order equation with degeneration

Chaos, Solitons and Fractals, 2021
Batirkhan Turmetov, B J Kadirkulov
exaly  

Multiplicity results for a nonlocal fractional problem

Computational and Applied Mathematics, 2022
Z. Naghizadeh, Omid Nikan, António Mendes Lopes   +2 more
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On a Riemann–Hilbert problem for the focusing nonlocal mKdV equation with step-like initial data

Applied Mathematics Letters, 2021
Weiguo Zhang
exaly