On Singular Dissipative Fourth-Order Differential Operator in Lim-4 Case | Zendy

Ekin Uğurlu | Zendy; Elgiz Bairamov | Zendy

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On Singular Dissipative Fourth-Order Differential Operator in Lim-4 Case

Author(s) -

Ekin Uğurlu,

Elgiz Bairamov

Publication year - 2013

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.1155/2013/549876

Subject(s) - dissipative operator , operator (biology) , mathematics , spectral theory of ordinary differential equations , dissipative system , differential operator , boundary value problem , compact operator , mathematical analysis , semi elliptic operator , singular value , order (exchange) , finite rank operator , eigenvalues and eigenvectors , quasinormal operator , computer science , physics , extension (predicate logic) , repressor , banach space , chemistry , biochemistry , quantum mechanics , transcription factor , programming language , finance , economics , gene

A singular dissipative fourth-order differential operator in lim-4 case is considered. To investigate the spectral analysis of this operator, it is passed to the inverse operator with the help of Everitt's method. Finally, using Lidskiĭ's theorem, it is proved that the system of all eigen- and associated functions of this operator (also the boundary value problem) is complete.

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