Symmetry, Conserved Charges, and Lax Representations of Nonlinear Field Equations: A Unified Approach [PDF]
A certain non-Noetherian connection between symmetry and integrability properties of nonlinear field equations in conservation-law form is studied.
Papachristou, C. J.
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On the spectrum of a stationary problem with nonlocal integral type boundary condition
We investigated a eigenvalue problem for simple second order ordinary differential equation with one integral type nonlocal boundary condition. The eigenvalues and eigenfunctions of such problem are depending on few parameters in the nonlocal boundary ...
Sigita Pečiulytė +2 more
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Nonclassical Problem for Ultraparabolic Equation in Abstract Spaces
Nonclassical problem for ultraparabolic equation with nonlocal initial condition with respect to one time variable is studied in abstract Hilbert spaces.
Gia Avalishvili, Mariam Avalishvili
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Reaction–diffusion equation with nonlocal boundary condition subject to PID-controlled bioreactor
We study a system of two parabolic nonlinear reaction–diffusion equations subject to a nonlocal boundary condition. This system of nonlinear equations is used for mathematical modeling of biosensors and bioreactors.
Feliksas Ivanauskas +3 more
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Existence of three solutions for a first-order problem with nonlinear non-local boundary conditions [PDF]
Conditions for the existence of at least three positive solutions to the nonlinear first-order problem with a nonlinear nonlocal boundary condition given by && y'(t) - p(t)y(t) = \sum_{i=1}^m f_i\big(t,y(t)\big), \quad t\in[0,1], && \lambda y(0) = y ...
Anderson, Douglas R.
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Conditioning and error analysis of nonlocal operators with local boundary conditions
TUBITAK (MFAG 115F473); European Commission Marie Curie Career Integration 293978; United States Department of Energy (DOE) 1120-1120 ...
Adem Kaya, Burak Aksoylu, Burak Aksoylu
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Exact Solutions of Nonlocal BVPs for the Multidimensional Heat Equations [PDF]
MSC 2010: 44A35, 44A45, 44A40, 35K20, 35K05In this paper a method for obtaining exact solutions of the multidimensional heat equations with nonlocal boundary value conditions in a finite space domain with time-nonlocal initial condition is developed. One
Dimovski, Ivan, Tsankov, Yulian
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Nondensely defined evolution equations with nonlocal conditions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khalil Ezzinbi, James H. Liu
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In this work, we investigate a linear completely nonhomogeneous nonlocal multipoint problem for an m-order ordinary differential equation with generally variable nonsmooth coefficients satisfying some general properties such as p-integrability and ...
Kemal Ozen, Kamil Orucoglu
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Effects of topological boundary conditions on Bell nonlocality
Bell nonlocality is the resource that enables device-independent quantum information processing tasks. It is revealed through the violation of so-called Bell inequalities, indicating that the observed correlations cannot be reproduced by any local hidden variable model.
Emonts, Patrick +3 more
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