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On Maximal Regularity of Differential and Difference Operators

  • Kordan N. Ospanov
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

In this paper we investigate a linear degenerate second-order difference operator and we find conditions that are sufficient for its bounded invertibility and separability in Hilbert space. We apply these results to prove the solvability of an infinite quasilinear difference system. We also give one result on the separability of its continuous analogue (a degenerate differential operator of second order) and show that the second-order discrete operator is separable under much weaker conditions.

Notes

Acknowledgement

This research was supported by the grant AP05131649 of the Ministry of Education and Science of the Republic of Kazakhstan.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Kordan N. Ospanov
    • 1
  1. 1.L.N. Gumilyov Eurasian National UniversityAstanaKazakhstan

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