Boundedly solvable degenerate differential operators for first order

Yıl 2018, Cilt: 1 Sayı: 1, 68 - 73, 11.03.2018

Pembe İpek , Zameddin İsmailov

https://doi.org/10.32323/ujma.387330

Cited By: 1

Öz

Using the methods of operator theory all boundedly
solvable extensions of the minimal operator generated by degenerated
type differential-operators expression in the weighted Hilbert space
of vector-functions in finite interval in terms of boundary conditions.
Later on, the structure of spectrum of these type extensions will
be investigated.

Anahtar Kelimeler

Degenerate differential-operator expression, Boundedly solvable operator, Spectrum

Kaynakça

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• [4] Vishik, M. I., On linear boundary problems for differential equations, Doklady Akad. Nauk SSSR (N.S) 65, 785-788, 1949.
• [5] Vishik, M. I., On general boundary problems for elliptic differential equations, Amer. Math. Soc. Transl. II 24, 107-172, 1963.