Results 11 to 20 of about 27,885 (268)
An optimal control problem for the systems with integral boundary conditions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 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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On the integration of the diffusion equation with boundary conditions. [PDF]
Transactions of the American Mathematical Society, 1961 the initial-value problem is shown to have a unique positivity preserving solution; here an1= aiini, bn = bini (the ni being components of the outer normal to A), oa, r > 0, and a2 +r2 = 1. Solutions in the form of strongly continuous semi-groups of positive operators (see [4]) are obtained in the Lp spaces over A with weight factor e, 1 ?_ _ 2.
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Integral boundary conditions in phase field models
Computers & Mathematics with Applications, 2023 Modeling the chemical, electric, and thermal transport as well as phase transitions and the accompanying mesoscale microstructure evolution within a material in an electronic device setting involves the solution of partial differential equations often with integral boundary conditions.
Xiaofeng Xu +4 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 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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Boundary conditions for two-dimensional integrable chains [PDF]
Physics Letters A, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gürel, B., Habibullin I.
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Reaction–diffusion equation with nonlocal boundary condition subject to PID-controlled bioreactor
Nonlinear Analysis, 2017 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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Solution to a parabolic equation with integral type boundary condition
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper we study the existence, and continuous dependence of the solution ϑ=ϑ(x,t) on a Hölder space H2+γ,1+γ/2(Q¯τ)(Q¯τ=[0,1]×[0,τ ...
Ignacio Barradas +1 more
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Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2018 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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The Fucík spectrum for nonlocal BVP with Sturm–Liouville boundary condition
Nonlinear Analysis, 2014 Boundary value problem of the form x''=-μx++λx-, αx(0)+(1-α)x'(0)=0, ∫01 x(s)ds=0 is considered, where μ,λ∈ R and α∈ [0,1]. The explicit formulas for the spectrum of this problem are given and the spectra for some α values are constructed.
Natalija Sergejeva
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Integrable open boundary conditions for XXC models [PDF]
Journal of High Energy Physics, 1998 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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