Spectrum of a Differential Operator with Periodic Generalized Potential | Zendy

Mehmet Şahin | Zendy; Manaf Dzh. Manafov | Zendy

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Spectrum of a Differential Operator with Periodic Generalized Potential

Author(s) -

Mehmet Şahin,

Manaf Dzh. Manafov

Publication year - 2007

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2007/74595

Subject(s) - mathematics , spectrum (functional analysis) , operator (biology) , differential operator , infinity , limit (mathematics) , mathematical analysis , order (exchange) , constant (computer programming) , zero (linguistics) , differential (mechanical device) , pure mathematics , quantum mechanics , biochemistry , chemistry , physics , linguistics , philosophy , finance , repressor , computer science , transcription factor , economics , gene , programming language , engineering , aerospace engineering

We study some spectral problems for a second-order differential operator with periodic potential. Notice that the given potential is a sum of zero-and first-order generalized functions. It is shown that the spectrum of the investigated operator consists of infinite number of gaps whose length limit unlike the classic case tends to nonzero constant in some place and to infinity in other place. Copyright (c) 2007.

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