$q-$Hamiltonian systems

Authors

BİLENDER PAŞAOĞLU
HÜSEYİN TUNA

DOI

10.3906/mat-2007-29

Abstract

In this paper, we develop the basic theory of linear $q-$ Hamiltonian systems. In this context, we establish an existence and uniqueness result. Regular spectral problems are studied. Later, we introduce the corresponding maximal and minimal operators for this system. Finally, we give a spectral resolution.

Keywords

Regular $q-$Hamiltonian system, maximal operator, minimal operator, boundary conditions, eigenfunction expansions

First Page

2241

Last Page

2258

Recommended Citation

PAŞAOĞLU, BİLENDER and TUNA, HÜSEYİN (2020) "$q-$Hamiltonian systems," Turkish Journal of Mathematics: Vol. 44: No. 6, Article 32. https://doi.org/10.3906/mat-2007-29
Available at: https://journals.tubitak.gov.tr/math/vol44/iss6/32