Solution to a parabolic equation with integral type boundary condition
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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Boundaries of Graphs of Harmonic Functions [PDF]
Harmonic functions $u:{\mathbb R}^n \to {\mathbb R}^m$ are equivalent to integral manifolds of an exterior differential system with independence condition $(M,{\mathcal I},\omega)$.
Fox, Daniel
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The Fucík spectrum for nonlocal BVP with Sturm–Liouville boundary condition
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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New boundary conditions for integrable lattices [PDF]
22 pages, latex, no ...
Kuznetsov, V.B. +2 more
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A spectral approach to a constrained optimization problem for the Helmholtz equation in unbounded domains [PDF]
We study some convergence issues for a recent approach to the problem of transparent boundary conditions for the Helmholtz equation in unbounded domains.
Ciraolo, Giulio +2 more
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Investigation of the spectrum of the Sturm–Liouville problem with a nonlocal integral condition
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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Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that [PDF]
We aim to offer a kind of unifying view on two popular topics in the studies of nonperturbative aspects of Yang-Mills theories in the Landau gauge: the so-called Gribov-Zwanziger approach and the Kugo-Ojima confinement criterion.
A. Cucchieri +7 more
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Spectrum Curves for Sturm–Liouville Problem with Integral Boundary Condition
We consider Sturm–Liouville problem with one integral type nonlocal boundary condition depending on three parameters γ (multiplier in nonlocal condition), ξ1, ξ2 ([ξ1, ξ2] is a domain of integration).
Agnė Skučaitė, Artūras Štikonas
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Well-posedness of boundary value problems for reverse parabolic equation with integral condition [PDF]
Reverse parabolic equation with integral condition is considered. Well-posedness of reverse parabolic problem in the Hölder space is proved. Coercive stability estimates for solution of three boundary value problems (BVPs) to reverse parabolic equation ...
Charyyar Ashyralyyev
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Fractional Langevin Equations with Nonseparated Integral Boundary Conditions [PDF]
In this paper, we discuss the existence of solutions for nonlinear fractional Langevin equations with nonseparated type integral boundary conditions. The Banach fixed point theorem and Krasnoselskii fixed point theorem are applied to establish the results. Some examples are provided for the illustration of the main work.
Khalid Hilal +3 more
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