Ugurlu, EkinBairamov, ElgizTas, Kenan2024-06-132025-09-182024-06-132025-09-182024Bairamov, Elgiz; Taş, Kenan; Uğurlu, Ekin (2024). "On the characteristic functions and Dirchlet-integrable solutions of singular left-definite Hamiltonian systems", Quaestiones Mathematicae, Vol. 47, No. 5, pp. 983-995.1607-36061727-933Xhttps://doi.org/10.2989/16073606.2023.2277841https://hdl.handle.net/20.500.12416/12849In 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.eninfo:eu-repo/semantics/closedAccessLeft-Definite EquationsHamiltonian SystemsDirichlet-Integrable SolutionsArticle10.2989/16073606.2023.22778412-s2.0-85178420536