NORMAL DIFFERENTIAL OPERATORS OF THIRD-ORDER

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İSMAİLOV Z., Erol M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.41, no.5, pp.675-688, 2012 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 41 Issue: 5
• Publication Date: 2012
• Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
• Page Numbers: pp.675-688
• Karadeniz Technical University Affiliated: Yes

Abstract

In the Hilbert space of vector-functions L-2(H, (a, b)), where H is any separable Hilbert space, the general representation in terms of boundary values of all normal extensions of the formally normal minimal operator, generated by linear differential-operator expressions of third order in the form