Results 21 to 30 of about 4,458,478 (284)
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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Localized boundary-domain integral formulations for problems with variable coefficients [PDF]
, 2002 Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE).
Mikhailov, SE
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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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Integrable boundary conditions and modified Lax equations [PDF]
Nuclear Physics B, 2008 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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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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Investigation of the spectrum of the Sturm–Liouville problem with a nonlocal integral condition
Lietuvos Matematikos Rinkinys, 2013 This paper presents some new results on the spectrum for the second order dif-ferential problem with one integral type nonlocal boundary condition (NBC).
Agnė Skučaitė, Artūras Štikonas
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On the Conditioning of Multipoint and Integral Boundary Value Problems [PDF]
SIAM Journal on Mathematical Analysis, 1989 Linear multipoint boundary value problems are investigated from the point of view of the condition number and properties of the fundamental solution. It is found that when the condition number is not large, the solution space is polychotomic. On the other hand, if the solution space is polychotomic then there exist boundary conditions such that the ...
Hoog, de, F.R., Mattheij, R.M.M.
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Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions [PDF]
Journal of Applied Mathematics, 2013 We investigate the existence of solutions and positive solutions for a nonlinear fourth-order differential equation with integral boundary conditions of the formx(4)(t)=f(t,x(t),x′(t),x′′(t),x′′′(t)),t∈[0,1],x(0)=x′(1)=0,x′′(0)=∫01h(s,x(s),x′(s),x′′(s))ds,x′′′(1)=0, wheref∈C([0,1]×ℝ4),h∈C([0,1]×ℝ3). By using a fixed point theorem due to D. O'Regan, the
Hui Li, Libo Wang, Minghe Pei
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