2017
Том 69
№ 9

All Issues

On the solvability of one class of parameterized operator inclusions

Kapustyan V. O., Kasyanov P. O., Kohut O. P.

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Abstract

We consider a class of parameterized operator inclusions with set-valued mappings of \( {\bar S_k} \) type. Sufficient conditions for the solvability of these inclusions are obtained and the dependence of the sets of their solutions on functional parameters is investigated. Examples that illustrate the results obtained are given.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 12, pp 1901-1914.

Citation Example: Kapustyan V. O., Kasyanov P. O., Kohut O. P. On the solvability of one class of parameterized operator inclusions // Ukr. Mat. Zh. - 2008. - 60, № 12. - pp. 1619–1630.

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