Eigenfunction expansions of a quadratic pencil of differential operator with periodic generalized potential | Zendy

Manaf Dzh. Manafov | Zendy; Abdullah Kablan | Zendy

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Eigenfunction expansions of a quadratic pencil of differential operator with periodic generalized potential

Author(s) -

Manaf Dzh. Manafov,

Abdullah Kablan

Publication year - 2013

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2013.1.76

Subject(s) - eigenfunction , mathematics , pencil (optics) , quadratic equation , differential operator , operator (biology) , mathematical analysis , pure mathematics , eigenvalues and eigenvectors , geometry , physics , quantum mechanics , chemistry , biochemistry , repressor , transcription factor , gene

In this article we obtain the eigenfunction expansions of a quadratic pencil of Sturm Liouville operators with periodic coe cients. The important point to note here is the given potential is a rst order generalized function.

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