Discontinuous linear Hamiltonian systems-Reference-Cited by-同舟云学术

Discontinuous linear Hamiltonian systems

Published:2022 Issue:3 Volume:36 Page:813-827
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Allahverdiev Bilender¹,Tuna Hüseyin²

Affiliation:

1. Department of Mathematics, Süleyman Demirel University, Isparta, Turkey

2. Department of Mathematics, Mehmet Akif Ersoy University, Burdur, Turkey

Abstract

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.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference36 articles.

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4. O. Sh. Mukhtarov, Discontinuous boundary-value problem with spectral parameter in boundary conditions. Turkish J. Math., 18(1994), 183-192.

5. O. Sh. Mukhtarov, K. Aydemir, The eigenvalue problem with Interaction conditions at one interior singular point, Filomat, 31:17 (2017), 5411-5420.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. SINGULAR DISCONTINUOUS HAMILTONIAN SYSTEMS;Journal of Applied Analysis & Computation;2022

2. DISCONTINUOUS MATRIX STURM–LIOUVILLE PROBLEMS;Eurasian Mathematical Journal;2022