On the characteristic functions and Dirchlet-integrable solutions of singular left-definite Hamiltonian systems
Quaestiones Mathematicae, cilt.47, sa.5, ss.983-995, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 47 Sayı: 5
- Basım Tarihi: 2024
- Doi Numarası: 10.2989/16073606.2023.2277841
- Dergi Adı: Quaestiones Mathematicae
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.983-995
- Anahtar Kelimeler: Dirichlet-integrable solutions, Hamiltonian systems, Left-definite equations
- Ankara Üniversitesi Adresli: Evet
Özet
In this work, a singular left-definite Hamiltonian system is considered and the characteristic-matrix theory for this Hamiltonian system is constructed. Using the results of this theory we introduce a lower bound for the number of Dirichlet-integrable solutions. Moreover we share a relation between the kernel of the solution of the nonhomogeneous boundary value problem and the characteristic-matrix.