Results 1 to 10 of about 1,476 (113)
A third-order nonlocal problem with nonlocal conditions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We study an equation with dominated lower-order terms and nonlocal conditions. Using the Riesz representation theorem and the Schauder fixed-point theorem, we prove the existence and uniqueness of a generalized solution.
Lazhar Bougoffa
doaj +2 more sources
MathematicsIn the nonlocal Almgren problem, the goal is to investigate the convexity of a minimizer under a mass constraint via a nonlocal free energy generated with a nonlocal perimeter and convex potential.
Emanuel Indrei
doaj +3 more sources
On the solution of a nonlocal problem
Computers and Mathematics With Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A A Dosiyev, Suzan Cival Buranay
exaly +4 more sources
On the Schrödinger-parabolic equation with multipoint nonlocal boundary condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2023 The nonlocal boundary value problem for a Schrödinger-parabolic equation with multipoint nonlocal boundary conditions is examined. Stability estimates for the solution of this problem are established.
Yıldırım Özdemir
doaj +1 more source
A problem with nonlocal conditions for a one-dimensional parabolic equation [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 In present paper, we consider a problem with nonlocal conditions for parabolic equation and show that there exists a unique weak solution in Sobolev space.
Alexander B. Beylin +2 more
doaj +1 more source
A non-local problem with integral conditions of the first kind for the string vibration equation
Вестник Самарского университета: Естественнонаучная серия, 2023 The article considers a problem with integral nonlocal conditions of the first kind. The main goal is to prove the unique solvability of a nonlocal problem with integral conditions of the 1st kind, if the kernels of these conditions depend not only on ...
Y. S. Buntova
doaj +1 more source
Nonlocal Thermodynamics: Mathematical Model of Two-Dimensional Thermal Conductivity [PDF]
E3S Web of Conferences, 2021 Nonlocal models of thermodynamics are becoming more and more popular in the modern world. Such models make it possible to describe materials with a complex structure and unique strength and temperature properties.
Kuvyrkin George +2 more
doaj +1 more source
Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method
Results in Applied Mathematics, 2021 We present an optimization-based coupling method for local and nonlocal continuum models. Our approach couches the coupling of the models into a control problem where the states are the solutions of the nonlocal and local equations, the objective is to ...
Marta D’Elia, Pavel Bochev
doaj +1 more source
Remarks on the Nonlocal Dirichlet Problem [PDF]
Potential Analysis, 2020 AbstractWe study translation-invariant integrodifferential operators that generate Lévy processes. First, we investigate different notions of what a solution to a nonlocal Dirichlet problem is and we provide the classical representation formula for distributional solutions.
Grzywny, Tomasz +2 more
openaire +4 more sources
Mathematics, 2022 In this paper, the numerical solutions of the backward and forward non-homogeneous wave problems are derived to address the nonlocal boundary conditions.
Chein-Shan Liu +3 more
doaj +1 more source