Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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  • Article
    Citation - WoS: 5
    Citation - Scopus: 5
    The Spectral Analysis of a Nuclear Resolvent Operator Associated With a Second Order Dissipative Differential Operator
    (Springer Heidelberg, 2017) Bairamov, Elgiz; Ugurlu, Ekin
    In this paper, we introduce a new approach for the spectral analysis of a linear second order dissipative differential operator with distributional potentials. This approach is related with the inverse operator. We show that the inverse operator is a non-selfadjoint trace class operator. Using Lidskii's theorem, we introduce a complete spectral analysis of the second order dissipative differential operator. Moreover, we give a trace formula for the trace class integral operator.