Open AccessDiscontinuous linear Hamiltonian systems
Author(s) -
Bilender P. Allahverdiev,
Hüseyin Tuna
Publication year - 2022
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2203813a
Subject(s) - mathematics , eigenfunction , uniqueness , hamiltonian system , hamiltonian (control theory) , linear operators , operator (biology) , mathematical analysis , pure mathematics , eigenvalues and eigenvectors , mathematical optimization , gene , physics , chemistry , repressor , quantum mechanics , transcription factor , bounded function , biochemistry
We study a discontinuous linear Hamiltonian system. We obtain a result on the existence and uniqueness of solutions. Later, we introduce the corresponding maximal and minimal operators for this problem and the self-adjoint extensions of such a minimal operator are established. Finally, we obtain an eigenfunction expansion.