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Curvilinear integrals of discontinuous functions over nonrectifiable paths and Riemann boundary‐value problem

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We study a generalization of the concept of curvilinear integral for the case where path of integration is nonrectifiable, and integrand has discontinuities. Then we apply that integrals for solving… Click to show full abstract

We study a generalization of the concept of curvilinear integral for the case where path of integration is nonrectifiable, and integrand has discontinuities. Then we apply that integrals for solving of the Riemann boundary‐value problem for domains with nonrectifiable boundaries and discontinuous boundary data. The research is supported by RFBR (grant 18‐31‐00060) and is performed according to a special programme of the Russian government supporting research at Kazan Federal University.

Keywords: boundary value; value problem; curvilinear integrals; riemann boundary

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019

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