Birth date: 7.01.1967
Phone: +7 (495) 939 55 40
Fax: +7 (495) 939 55 40
E-mail: ,
Keywords: spectral theory of operators, self-similar functions.
UDC: 517.984, 517.518

Subject:

The operator model for flow of viscouse fluid between two coaxial cilinders is considered. Asymptotic of spectrum is obtained. Eigenfunctions of corresponding linear pencil form Bari basis in special Hilbert space. The operator model for flow of non-viscouse fluid between two coaxial cilinders is considered. The structure of spectrum is investigated. There are an interval of essential spectrum. The problem of accumulation of eigenvalues to bounds of essential spectrum is studied.

Main publications:

1. I.A. Sheipak, “Spektralnyi analiz zadach, svyazannykh s nesimmetrichno-vozmuschennym techeniem Kuetta”, Matematicheskie zametki, 57:2 (1995), 278–282      
2. I.A. Sheipak, “Netrivialnye fraktaly na ploskosti i lineinye operatory s sovmestnym spektralnym radiusom edinitsa”, Matematicheskie zametki, 63:5 (1998), 797–800      
3. I.A. Sheipak, “K teorii ustoichivosti dvizheniya zhidkosti v koltsevom kanale v prisutstvii magnitnogo polya i svyazannye spektralnye zadach”, Fundamentalnaya i prikladnaya matematika, 7:2 (2001), 583–596      
4. A.A. Vladimirov, I.A. Sheipak, “Indefinitnaya zadacha Shturma-Liuvillya dlya nekotorykh klassov samopodobnykh singulyarnykh vesov”, Trudy MIAN, 255, 206, 88–98    
5. I.A. Sheipak, “O konstruktsii i nekotorykh svoistvakh samopodobnykh funktsii v prostranstvakh $L_2[0,1]$”, Matematicheskie zametki, 81:6 (2007), 924–938      

Publications in Math-Net.Ru

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Lomonosov Moscow State University, Faculty of Mechanics and Mathematics