On the characteristic functions and Dirchlet-integrable solutions of singular left-definite Hamiltonian systems

BAYRAM E., Tas K., Uğurlu E.

Quaestiones Mathematicae, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2989/16073606.2023.2277841
  • Dergi Adı: Quaestiones Mathematicae
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Anahtar Kelimeler: Dirichlet-integrable solutions, Hamiltonian systems, Left-definite equations
  • Ankara Üniversitesi Adresli: Evet

Özet

In 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.