2017
Том 69
№ 9

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On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve

Plaksa S. A.

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Abstract

The paper deals with the theory of a complete singular integral equation with a Cauchy kernel. The classes of curves and given functions are extended and generalizations of the classical Noether theorems are proved. As a consequence of these theorems, the Noether property is established for the operators associated with this equation, which act into incomplete normed spaces.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 10, pp 1548-1559.

Citation Example: Plaksa S. A. On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve // Ukr. Mat. Zh. - 1993. - 45, № 10. - pp. 1379–1389.

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