Normal Differential Operators of Third Order

Z.i. ISMAİLOV; M. EROL

Makale detayları

Normal Differential Operators of Third Order

Yazarlar:

Z.i. ISMAİLOV | M. EROL

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2012 Vol.41 Issue 5, pp.675-688

Belge Tipi:

Makale

Yayın Tarihi:

4/2012

Belge Dili:

İngilizce

Document ID (Org No.):

2000453519

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

In the Hilbert space of vector-functions L2(H,(a, b)), where H is anyseparable Hilbert space, the general representation in terms of boundary values of all normal extensions of the formally normal minimaloperator, generated by linear differential-operator expressions of thirdorder in the forml(u) = u′′′(t) + A3u(t), A : D(A) ⊂ H → H, A = A∗ ≥ E,is obtained in the first part of this study. Then, some spectral properties of these normal extensions are investigated. In particular, thecase of A−1 ∈ S∞(H), asymptotic estimates of normal extensions ofeigenvalues has been established at infinity.

Makale detayları

Normal Differential Operators of Third Order

Yazarlar: Z.i. ISMAİLOV | M. EROL

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2012 Vol.41 Issue 5, pp.675-688

Belge Tipi: Makale

Yayın Tarihi: 4/2012

Belge Dili: İngilizce

Document ID (Org No.): 2000453519

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Z.i. ISMAİLOV | M. EROL

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2012 Vol.41 Issue 5, pp.675-688

Belge Tipi:

Makale

Yayın Tarihi:

4/2012

Belge Dili:

İngilizce

Document ID (Org No.):

2000453519

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X