Hahn-Hamiltonian systems

Authors

BİLENDER PAŞAOĞLU
HÜSEYİN TUNA

Abstract

In this paper, we study the basic theory of regular Hahn-Hamiltonian systems. In this context, we establish an existence and uniqueness result. We introduce the corresponding maximal and minimal operators for this system and some properties of these operators are investigated. Moreover, we give a criterion under which these operators are self-adjoint. Finally, an expansion theorem is proved.

DOI

10.55730/1300-0098.3362

Keywords

Regular Hahn-Hamiltonian system, maximal and minimal operators, self-adjoint operator, eigenfunction expansion

First Page

317

Last Page

332

Recommended Citation

PAŞAOĞLU, BİLENDER and TUNA, HÜSEYİN (2023) "Hahn-Hamiltonian systems," Turkish Journal of Mathematics: Vol. 47: No. 1, Article 21. https://doi.org/10.55730/1300-0098.3362
Available at: https://journals.tubitak.gov.tr/math/vol47/iss1/21