Bairamov, ElgizTas, KenanUgurlu, EkinMatematik2024-06-132024-06-132024Bairamov, 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/10.2989/16073606.2023.2277841In 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 SolutionsArticle47598399510.2989/16073606.2023.22778412-s2.0-85178420536WOS:001111069700001Q3Q2