Video library: A. A. Shkalikov, S. N. Tumanov, The limit spectral graph and eingenvalue asymptotic distribution of the Sturm-Liouville problem with polynomical potential

Videolibrary

RUS ENG

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 29, 2015 11:40–12:20, Пленарные доклады, Moscow, Steklov Mathematical Institute of RAS

The limit spectral graph and eingenvalue asymptotic distribution of the Sturm-Liouville problem with polynomical potential

A. A. Shkalikov, S. N. Tumanov

Lomonosov Moscow State University

Supplementary materials:

abstract.pdf (186.5 Kb)

Language: English

References

Yu. N. Dnestrovskii, D. P. Kostomarov, “Ob asimptotike sobstvennykh znachenii dlya nesamosopryazhennykh kraevykh zadach”, Zh. vychisl. matem. i matem. fiz., 4:2 (1964), 267–277
A. V. Dyachenko, A. A. Shkalikov, “O modelnoi zadache dlya uravneniya Orra–Zommerfelda s lineinym profilem”, Funkts. analiz i ego pril., 36:3 (2002), 71–75
S. N. Tumanov, A. A. Shkalikov, “O lokalizatsii spektra zadachi Orra–Zommerfelda dlya bolshikh chisel Reinoldsa”, Matem. zametki, 72:4 (2002), 561–569
S. N. Tumanov, A. A. Shkalikov, “O predelnom povedenii spektra modelnoi zadachi dlya uravneniya Orra–Zommerfelda s profilem Puazeilya”, Izv. RAN. Ser. matem., 66:4 (2002), 177–204
M. V. Fedoryuk, Asimptoticheskie metody dlya lineinykh obyknovennykh differentsialnykh uravnenii, Nauka, Moskva, 1983
M. V. Fedoryuk, “Topologiya linii Stoksa uravnenii vtorogo poryadka”, Izv. AN SSSR. Ser. matem., 29:3 (1965), 645–656
A. A. Shkalikov, “O predelnom povedenii spektra pri bolshikh znacheniyakh parametra odnoi modelnoi zadachi”, Matem. zametki, 62:6 (1997), 950–953
A. A. Shkalikov, “Cpektralnye portrety operatora Orra–Zommerfelda pri bolshikh chislakh Reinoldsa”, SMFN, 3 (2003), 89–112