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Articles

Qualitative and approximate characteristics of solutions of Beltrami-type systems

Pages 1005-1014 | Received 11 Mar 2013, Accepted 26 Feb 2015, Published online: 26 Mar 2015
 

Abstract

We consider Beltrami-type system in and obtain the solvability results. We give separation estimate for its solution and sufficient conditions for the discreteness of spectrum. We also establish bilateral estimates of s-numbers of the resolvent of operator corresponding to this system.

Acknowledgements

The author is grateful to the referee for his/her valuable comments.

Additional information

Funding

The research has been supported by Science Committee of Ministry of Education and Science of Kazakhstan [grant number 0299/GF2], [grant number 5132/GF4], and by L.N. Gumilyov Eurasian National University Research Fund.

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