Aslanov, Gamidulla I.; Badalova, Kenul G. The third regularized trace formula for second order differential equations with self-adjoint nuclear class operator coefficients. (English) Zbl 1300.34192 Math. Aeterna 2, No. 5, 409-422 (2012). Summary: We obtain a formula for the third regularized trace of selfadjoint differential equation of second-order with a nuclear operator coefficient given on a finite interval. MSC: 34L05 General spectral theory of ordinary differential operators 34B24 Sturm-Liouville theory 34L15 Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators 47D06 One-parameter semigroups and linear evolution equations Keywords:Hilbert space; selfadjoint operator; eigenvalue; spectrum; resolvent; kernel operator PDFBibTeX XMLCite \textit{G. I. Aslanov} and \textit{K. G. Badalova}, Math. Æterna 2, No. 5, 409--422 (2012; Zbl 1300.34192)