RUS  ENG
Full version
JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2017 Number 2, Pages 14–21 (Mi ivm9204)

This article is cited in 2 papers

A maximum of the first eigenvalue of semibounded differential operator with a parameter

B. E. Kanguzhina, D. Dauitbekab

a al-Farabi Kazakh National University, 71 al-Farabi Ave., Almaty, 050040 Republic of Kazakhstan
b Institute of Mathematics and Mathematical Modeling of Ministry of Education and Science of Republic of Kazakhstan, 125 Pushkin str., Almaty, 050010 Republic of Kazakhstan

Abstract: We consider a self-adjoint differential operator in Hilbert space. Then the domain of the operator is changed by the perturbation of the boundary conditions so that a given neighborhood “is cleared” from the points of the spectrum of the perturbed operator. For the Sturm–Liouville operator on the segment and the Laplace operator on the square such a possibility is attained cia integral perturbations of boundary conditions.

Keywords: Laplace operator, eigenfunction, eigenvalue.

UDC: 517.954

Received: 10.08.2015


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:2, 10–16

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025