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Scientific articles
On discreteness of spectrum of a second order functional differential operator
S. M. Labovski Plekhanov Russian University of Economics
Abstract:
Necessary and sufficient conditions for discreteness of spectrum for the singular second order functional differential operator of the form
1ρ(x)(−(p(x)u′)′+q(x)u−∫bau(s)r(x,ds)),x∈(a,b),−∞⩽a<b⩽∞
are obtained.
Keywords:
discreteness of spectrum, functional differential operator.
Received: 18.01.2018
Citation:
S. M. Labovski, “On discreteness of spectrum of a second order functional differential operator”, Tambov University Reports. Series: Natural and Technical Sciences, 23:121 (2018), 5–9
Linking options:
https://www.mathnet.ru/eng/vtamu85 https://www.mathnet.ru/eng/vtamu/v23/i121/p5
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Abstract page: | 85 | Full-text PDF : | 38 | References: | 27 |
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