On Dirichlet-integrable solutions of left-definite Hamiltonian systems


Ugurlu E., Bayram E.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, cilt.29, sa.2, 2023 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s40590-023-00507-1
  • Dergi Adı: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Left-definite Hamiltonian systems, Quadratic forms, Integrable-square solutions, ORDINARY DIFFERENTIAL-EQUATIONS, LIMIT-POINT
  • Ankara Üniversitesi Adresli: Evet

Özet

This 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.