A Spectral Representation of the Linear Multigroup Transport Problem

Shulaia, D.; Sharashidze, Nino

doi:10.1081/tt-120037806

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Proof Of the Sufficiency1

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2007

2017

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Cited by 4 publications

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“…then, in view of (20) and (8), from (19) it follows thatM(t, x) is the solution of Equation (4) when z = cos t ∈ ]c − , c + [. But, X z has no eigenvalues on ]c − , c + [ and, consequently,…”

Section: Proof Of the Sufficiencymentioning

confidence: 97%

Linear integral equations of the third kind arising from neutron transport theory

Shulaia

2007

Math Methods in App Sciences

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SUMMARYThe aim of this paper is to study, in the class of Hölder functions, linear integral equations with coefficients cos x having zeros in an interval under consideration. Using the theory of singular integral equations, necessary and sufficient conditions for the solvability of these equations under some assumptions on their kernels are given. The kernels of transport equations satisfy the required assumptions.

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Section: Proof Of the Sufficiencymentioning

confidence: 97%