Second-Order Multiparameter Problems Containing Complex Potentials

ERDAL İ., Ugurlu E.

AXIOMS, cilt.11, sa.12, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 12
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3390/axioms11120706
  • Dergi Adı: AXIOMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Weyl-Sims theory, Hilbert space, tensor product, ORDINARY DIFFERENTIAL-EQUATIONS, SPECTRAL THEORY, OPERATORS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this work, we provide some lower bounds for the number of squarly integrable solutions of some second-order multiparameter differential equations. To obtain the results, we use both Sims and Sleeman's ideas and the results are some generalization of the known results. To be more precise, we firstly construct the Weyl-Sims theory for the singular second-order differential equation with several spectral parameters. Then, we obtain some results for the several singular second-order differential equations with several spectral parameters.