Geodesic
On the rate of growth of eigenvalues of a fourth-order spectral problem with derivatives with respect to measure
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 4, Tome 193 (2021), pp. 158-162

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In this paper, we clarify the rate of growth of eigenvalues of one fourth-order spectral problem with nonsmooth solutions. The analysis is based on the pointwise approach proposed by Yu. V. Pokornyi, which has shown its effectiveness in studying linear second- and fourth-order boundary-value problems with continuous solutions.
Keywords: boundary-value problem, mathematical model, spectral problem, eigenvalue, growth rate. 
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     author = {S. A. Shabrov and M. V. Shabrova and E. A. Shaina},
     title = {On the rate of growth of eigenvalues of a fourth-order spectral problem with derivatives with respect to measure},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {158--162},
     publisher = {mathdoc},
     volume = {193},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_193_a16/}
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S. A. Shabrov; M. V. Shabrova; E. A. Shaina. On the rate of growth of eigenvalues of a fourth-order spectral problem with derivatives with respect to measure. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 4, Tome 193 (2021), pp. 158-162. http://geodesic.mathdoc.fr/item/INTO_2021_193_a16/