Abstract
Applying a version of the two-operator approach, the Dirichlet boundary value problem for a second-order scalar elliptic differential equation with variable coefficient and with right-hand side from \(\widetilde {H}^{-1}(\varOmega )\) is reduced to two different systems of boundary-domain integral equations (BDIEs). The equivalence of the two-operator BDIE systems to the original BVP is proved.
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