The influence function is simpler and better than Green's function for a generalized Stieltjes string (Q881070)

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scientific article; zbMATH DE number 5155508
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The influence function is simpler and better than Green's function for a generalized Stieltjes string
scientific article; zbMATH DE number 5155508

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    The influence function is simpler and better than Green's function for a generalized Stieltjes string (English)
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    21 May 2007
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    This short paper is concerned with an integral equation of the form \(-u'(x) +\int^x_0 u\,dQ = F(x)-F(0)\), \(0<x<1\), where \(Q(x)\) and \(F(x)\) are of bounded variation. The main results on the existence of solutions and their intergal representation are reported without proofs.
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    Stieltjes string
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    Green's function
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    influence function
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    integral equation
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    potential energy functional
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