Bairamov, ElgizUgurlu, Ekin2024-01-172025-09-182024-01-172025-09-182023Uğurlu, E.; Bairamov, E. (2023). "On Dirichlet-integrable solutions of left-definite Hamiltonian systems", Boletin de la Sociedad Matematica Mexicana, Vol.29, No.2.1405-213X2296-4495https://doi.org/10.1007/s40590-023-00507-1https://hdl.handle.net/20.500.12416/10396Ugurlu, Ekin/0000-0002-0540-8545This paper aims to share a method to handle left-definite Hamiltonian systems and to construct nested-ellipsoids related with the corresponding hermitian forms. We share a lower bound for the number of linearly independent Dirichlet-integrable solutions of the Hamiltonian systems with respect to some nonnegative matrices. Moreover, we share the corresponding Titchmarsh-Weyl functions. At the end of the paper we introduce a limit-point criterion.eninfo:eu-repo/semantics/closedAccessLeft-Definite Hamiltonian SystemsQuadratic FormsIntegrable-Square SolutionsArticle10.1007/s40590-023-00507-12-s2.0-85158072882