On the characteristic functions and Dirchlet-integrable solutions of singular left-definite Hamiltonian systems
Quaestiones Mathematicae, vol.47, no.5, pp.983-995, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 47 Issue: 5
- Publication Date: 2024
- Doi Number: 10.2989/16073606.2023.2277841
- Journal Name: Quaestiones Mathematicae
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Page Numbers: pp.983-995
- Keywords: Dirichlet-integrable solutions, Hamiltonian systems, Left-definite equations
- Ankara University Affiliated: Yes
Abstract
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.