Multi-dimensional Weiss operators

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

TURKISH JOURNAL OF MATHEMATICS, cilt.35, sa.4, ss.687-694, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3906/mat-1006-404
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.687-694
  • Abdullah Gül Üniversitesi Adresli: Hayır

Özet

We present a solution of the Weiss operator family generalized for the case of R(d) and formulate a d-dimensional analogue of the Weiss Theorem. Most importantly, the generalization of the Weiss Theorem allows us to find a subset of null class functions for a partial differential equation with the generalized Weiss operators. We illustrate the significance of our approach through several examples of both linear and non-linear partial differential equations.