Bairamov, ElgizTaş, KenanUğurlu, Ekin2024-06-132024-06-132024Bairamov, 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. 983-995.1607-3606http://hdl.handle.net/20.500.12416/8498In 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.enginfo:eu-repo/semantics/closedAccessDirichlet-Integrable SolutionsHamiltonian SystemsLeft-Definite Equationsarticle475983995