Qualitative and approximate characteristics of solutions of Beltrami-type systems

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.

Keywords:

• Beltrami system
• solvability
• separability
• s-numbers
• spectrum

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.