Results 11 to 20 of about 675,504 (282)
An optimal control problem for the systems with integral boundary conditions [PDF]
In this paper, we consider an optimal control problem with a «pure», integral boundary condition. The Green’s function is constructed. Using contracting Banach mappings, a sufficient condition for the existence and uniqueness of a solution to one class ...
M.J. Mardanov, Y.A. Sharifov
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Integrable boundary conditions for nonlinear lattices [PDF]
11 ...
Habibullin, I. T., Vil'danov, A. N.
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Boundary conditions for two-dimensional integrable chains [PDF]
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Gürel, B., Habibullin I.
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For system of hyperbolic equations of second order a nonlinear boundary value problem with integral condition is considered. By introducing new unknown functions the investigated problem is reduced to an equivalent problem involving one-parametered ...
Anar Assanova
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Boosting the Maxwell double layer potential using a right spin factor [PDF]
We construct new spin singular integral equations for solving scattering problems for Maxwell's equations, both against perfect conductors and in media with piecewise constant permittivity, permeability and conductivity, improving and extending earlier ...
Rosén, Andreas
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Integrable open boundary conditions for XXC models [PDF]
The XXC models are multistate generalizations of the well known spin 1/2 XXZ model. These integrable models share a common underlying su(2) structure. We derive integrable open boundary conditions for the hierarchy of conserved quantities of the XXC models .
Arnaudon, Daniel, Maassarani, Ziad
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Integrable boundary conditions and modified Lax equations [PDF]
We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable ...
Avan, Jean, Doikou, Anastasia
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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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An Unusual Moving Boundary Condition Arising in Anomalous Diffusion Problems [PDF]
In the context of analyzing a new model for nonlinear diffusion in polymers, an unusual condition appears at the moving interface between the glassy and rubbery phases of the polymer.
Cohen, D. S., Edwards, D. A.
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On the basis of systems of identical equalities and integral boundary characteristics, a new algorithm of solving a boundary-value problem on the nonstationary heat conduction in a canonical body with boundary condition of the second kind has been ...
V. A. Kot
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