Asymptotic behaviour of negative eigenvalues of an operator differential equation
Filomat, Tome 36 (2022) no. 7, p. 2411
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In this work, we find the asymptotic formulas for the sum of the negative eigenvalues smaller than −ε (ε > 0) of a self-adjoint operator L defined by the following differential expression ℓ(y) = −(p(x)y ′ (x)) ′ − Q(x)y(x) with the boundary condition y(0) = 0 in the space L 2 (0, ∞; H).
Classification :
34B24, 47A10
Keywords: Hilbert Space, Negative Eigenvalue, Asymptotic Behaviour
Keywords: Hilbert Space, Negative Eigenvalue, Asymptotic Behaviour
Özlem Bakşia. Asymptotic behaviour of negative eigenvalues of an operator differential equation. Filomat, Tome 36 (2022) no. 7, p. 2411 . doi: 10.2298/FIL2207411B
@article{10_2298_FIL2207411B,
author = {\"Ozlem Bak\c{s}ia},
title = {Asymptotic behaviour of negative eigenvalues of an operator differential equation},
journal = {Filomat},
pages = {2411 },
year = {2022},
volume = {36},
number = {7},
doi = {10.2298/FIL2207411B},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2207411B/}
}
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