Results 281 to 290 of about 95,958 (319)

A class of stochastic nonlocal evolution equations with nonlocal initial conditions

Analysis and Applications, 2023
In this paper, we consider the existence and uniqueness of mild solutions for stochastic nonlocal evolution equations with Lévy diffusion operator and nonlocal initial conditions. Based on the continuity of the Lévy semigroup and the technique of the measure of noncompactness, we establish the local existence of mild solutions in [Formula: see text ...
Yarong Liu, Yejuan Wang, Peter E. Kloeden   +2 more
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Stabilization of nonlocal solitons by boundary conditions

Optics Letters, 2014
We discovered that boundary conditions can stabilize nonlocal solitons with an oscillatory periodic response function. These solitons are the equivalent of quadratic solitons consisting of fundamental waves and oscillatory second harmonics, which are unstable unless subject to boundary confinement.
Jing, Wang, Yiheng, Li, Qi, Guo, Wei, Hu
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Evolution Problems with Nonlinear Nonlocal Boundary Conditions

Journal of Dynamics and Differential Equations, 2013
The authors consider a nonlinear evolution problem with nonlinear nonlocal boundary conditions. They concentrate on existence results obtained by applying the degree theory for function triples with a Fredholm function developed in [the third author, Topological analysis. From the basics to the triple degree for nonlinear Fredholm inclusions.
Irene Benedetti, TADDEI, Valentina, Martin Vath   +2 more
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Equilibrium conditions for nonlocal problems

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
The paper is concerned with obtaining generalized optimality conditions for a kind of nonlocal variational problems.
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A nonlocal problem with integral conditions

Mathematical Notes, 1996
For the equation \(u_{xy} +A(x,y)u_x +B(x,y)u_y +C(x,y)u =f(x,y)\) in the domain \(D=\{(x,y ...
Golubeva, N. D., Pul'kina, L. S.
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Electrical Conductivity Reconstruction Using Nonlocal Boundary Conditions

SIAM Journal on Applied Mathematics, 1999
Summary: We study existence, uniqueness, and solution estimates to the mixed problem \(\nabla\cdot\sigma\nabla u=0\) with Dirichlet to Neumann map boundary conditions and Neumann boundary conditions. We then show how this can be used in the reconstruction of \(\sigma\), given the relationship between u and its normal derivative on the boundary portion ...
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Exact controllability for nonlocal wave equations with nonlocal boundary conditions

Annales Polonici Mathematici
Summary: We are interested in the controllability of nonlocal wave equations subject to nonlocal dynamical boundary conditions, where the nonlocality stems from integral terms on the bulk and on the boundary of the domain considered. First, we establish, in two geometric settings satisfying the geometric control condition (GCC), the internal ...
Benabbas, Imen, Teniou, Djamel Eddine
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A parabolic equation with nonlocal conditions

Journal of Mathematical Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy differential equation with nonlocal condition

Fuzzy Sets and Systems, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Jong-Yeoul, Han, Hyo Keun, Son, Kuk-Hyeon   +2 more
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Nonlocal conditions for fractional differential equations

Studia Universitatis Babes-Bolyai Matematica
In this work we use the method of lower and upper solutions to develop an iterative technique, which is not necessarily monotone, and combined with a fixed point theorem to prove the existence of at least one solution of nonlinear fractional differential equations with nonlocal boundary conditions of integral type.
Boucherif, Abdelkader, Dib, Fatima, Daoudi-Merzagui, Naima   +2 more
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