Multi-dimensional Weiss operators

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Atıf İçin Kopyala

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

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

• 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
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• İstanbul Kültür Üniversitesi Adresli: Evet

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.