Left-definite Hamiltonian systems and corresponding nested circles

Uğurlu, EkinUğurlu, Ekin2024-01-032024-01-032023Uğurlu, E. (2023). "Left-definite Hamiltonian systems and corresponding nested circles", Turkish Journal of Mathematics, Vol.47, No.4, pp.1276-1287.13000098https://hdl.handle.net/20.500.12416/6842This work aims to construct the Titchmarsh-Weyl M(λ)−theory for an even-dimensional left-definite Hamiltonian system. For this purpose, we introduce a suitable Lagrange formula and selfadjoint boundary conditions including the spectral parameter λ. Then we obtain circle equations having nesting properties. Using the intersection point belonging to all the circles we share a lower bound for the number of Dirichlet-integrable solutions of the systemeninfo:eu-repo/semantics/openAccessHamiltonian SystemsLeft-Definite EquationsWeyl’s TheoryLeft-definite Hamiltonian systems and corresponding nested circlesLeft-Definite Hamiltonian Systems and Corresponding Nested CirclesArticle4741276128710.55730/1300-0098.3427