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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




Language: English

References
  1. 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  mathnet  mathscinet
  2. 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  mathnet  crossref  mathscinet  zmath
  3. S. N. Tumanov, A. A. Shkalikov, “O lokalizatsii spektra zadachi Orra–Zommerfelda dlya bolshikh chisel Reinoldsa”, Matem. zametki, 72:4 (2002), 561–569  mathnet  crossref  mathscinet  zmath
  4. 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  mathnet  crossref  mathscinet  zmath
  5. M. V. Fedoryuk, Asimptoticheskie metody dlya lineinykh obyknovennykh differentsialnykh uravnenii, Nauka, Moskva, 1983  mathscinet
  6. M. V. Fedoryuk, “Topologiya linii Stoksa uravnenii vtorogo poryadka”, Izv. AN SSSR. Ser. matem., 29:3 (1965), 645–656  mathnet  mathscinet  zmath
  7. A. A. Shkalikov, “O predelnom povedenii spektra pri bolshikh znacheniyakh parametra odnoi modelnoi zadachi”, Matem. zametki, 62:6 (1997), 950–953  mathnet  crossref  mathscinet  zmath
  8. A. A. Shkalikov, “Cpektralnye portrety operatora Orra–Zommerfelda pri bolshikh chislakh Reinoldsa”, SMFN, 3 (2003), 89–112  mathnet  mathscinet  zmath


© Steklov Math. Inst. of RAS, 2026