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Mild solutions of evolution quantum stochastic differential equations with nonlocal conditions

Mathematical methods in the applied sciences, 2020
We study existence of a unique mild solution of evolution quantum stochastic differential equations with nonlocal conditions under the strong topology. Using the method of successive approximations, we do not need to transform the nonlocal problem to a ...
S. Bishop, G. A. Okeke, K. Eke
semanticscholar   +1 more source

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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Existence and Regularity of Solutions for Some Partial Integrodifferential Equations Involving the Nonlocal Conditions

Numerical Functional Analysis and Optimization, 2019
The aim of this work is to prove some results about the existence and regularity of solutions for some partial integrodifferential equations with nonlocal conditions.
K. Ezzinbi, S. Ghnimi
semanticscholar   +1 more source

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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Existence Results of Mild Solutions for Impulsive Fractional Integrodifferential Evolution Equations With Nonlocal Conditions

International journal of nonlinear sciences and numerical simulation, 2019
In this paper, we investigate the existence of mild solutions of impulsive fractional integrodifferential evolution equations with nonlocal conditions via the fixed point theorems and fractional cosine family combined with solutions operator theorems ...
Xuping Zhang, Haide Gou, Yongxiang Li
semanticscholar   +1 more source

Mild solution of stochastic partial differential equation with nonlocal conditions and noncompact semigroups

Mathematica Slovaca, 2019
The aim of this paper is to discuss the existence of mild solutions for a class of semilinear stochastic partial differential equation with nonlocal initial conditions and noncompact semigroups in a real separable Hilbert space.
Xuping Zhang   +3 more
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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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Positive Mild Solutions for Damped Elastic Systems with Delay and Nonlocal Conditions in Ordered Banach Space

Qualitative Theory of Dynamical Systems, 2022
Mei-Chun Wei, Yongxiang Li, Qiang Li
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A parabolic equation with nonlocal conditions

Journal of Mathematical Sciences, 2008
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