Limit-point criteria for the matrix Sturm-Liouville operator and its powers

• Autorzy: Braeutigam I. N.

Identyfikatory

DOI

10.7494/OpMath.2017.37.1.5

• Języki publikacji: EN

Abstrakty

EN

We consider matrix Sturm-Liouville operators generated by the formal expression [formula] in the space [formula]. Let the matrix functions P := P(x), Q := Q(x) and R := R(x) of order n (n ∈ N) be defined on I, P is a nondegenerate matrix, P and Q are Hermitian matrices for x ∈ I and the entries of the matrix functions[formula], Q and R are measurable on I and integrable on each of its closed finite subintervals. The main purpose of this paper is to find conditions on the matrices P, Q and R that ensure the realization of the limit-point case for the minimal closed symmetric operator generated by [formula]. In particular, we obtain limit-point conditions for Sturm-Liouville operators with matrix-valued distributional coefficients.

Słowa kluczowe

EN

quasi-derivative; quasi-differential operator; matrix Sturm-Liouville operator; deficiency numbers; distributions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 1
• Strony: 5--19
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Braeutigam I. N.

• Northern (Arctic) Federal University named after M.V. Lomonosov Severnaya Dvina Emb. 17, Arkhangelsk, 163002, Russia

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).