Solution to n-dimensional Sturm-Liouville-like equations using multi-dimensional Schwarzian

Erkut M. H., Borisenok S., Caglar M., Polatoglu Y.

JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.251, sa.12, ss.3403-3420, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 251 Sayı: 12
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.jde.2011.08.023
  • Dergi Adı: JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3403-3420
  • Abdullah Gül Üniversitesi Adresli: Hayır

Özet

In the present work we produce the solution to the n-dimensional Sturm-Liouville-like equations in R(n). To make it, we define the multi-dimensional Schwarzian derivative of a real-valued function of n variables and show that its basic properties related to its invariance under the action of a group of multi-dimensional Mobius transformations defined in R(n) correspond to a straightforward generalization of those of the one-dimensional Schwarzian. (C) 2011 Elsevier Inc. All rights reserved.