Geodesic
A~trace formula for higher order ordinary differential operators
Sbornik. Mathematics, Tome 212 (2021) no. 5, pp. 676-697

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain a first-order trace formula for a higher order differential operator on a closed interval in the case where the perturbation operator is the operator of multiplication by a finite complex-valued charge. For operators of even orders $n\geqslant4$, the result contains a term of new type, previously unknown. Bibliography: 15 titles.
Keywords: regularized trace, Birkhoff regularity. 
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     author = {E. D. Gal'kovskii and A. I. Nazarov},
     title = {A~trace formula for higher order ordinary differential operators},
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     language = {en},
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E. D. Gal'kovskii; A. I. Nazarov. A~trace formula for higher order ordinary differential operators. Sbornik. Mathematics, Tome 212 (2021) no. 5, pp. 676-697. http://geodesic.mathdoc.fr/item/SM_2021_212_5_a3/