Geodesic
Estimation of the norm of an operator inverse to a differential one
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 49-53 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain an estimate for the norm of an operator inverse to a differential one acting in Lebesgue spaces of functions defined on the positive real semiaxis.
Keywords: linear differential operator, differential equation with initial condition from a subspace, estimates of bounded solutions of a differential equation. 
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     author = {S. V. Maryushenkov},
     title = {Estimation of the norm of an operator inverse to a~differential one},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {49--53},
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}
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S. V. Maryushenkov. Estimation of the norm of an operator inverse to a differential one. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 49-53. http://geodesic.mathdoc.fr/item/IVM_2012_1_a5/

[1] Daletskii Yu. L., Krein M. G., Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, Nauka, M., 1970 | MR

[2] Baskakov A. G., Sintyaev Yu. N., “Raznostnye operatory v issledovanii differentsialnykh operatorov; otsenki reshenii”, Differents. uravneniya, 46:2 (2010), 210–219 | MR | Zbl

[3] Baskakov A. G., “Spektralnyi analiz differentsialnykh operatorov s neogranichennymi operatornymi koeffitsientami, raznostnye otnosheniya i polugruppy raznostnykh otnoshenii”, Izv. RAN. Ser. matem., 73:2 (2009), 3–68 | MR | Zbl

[4] Gohberg I., Gohberg S., Kaashoek M. A., Classes of linear operators, v. 1, Oper. Theory Adv. Appl., 49, Birkhäuser Verlag, Basel, 1990 | Zbl

[5] Baskakov A. G., “Otsenki ogranichennykh reshenii differentsialnykh uravnenii”, Differents. uravneniya, 39:3 (2003), 413–415 | MR | Zbl

[6] Perov A. I., “Chastotnye priznaki suschestvovaniya ogranichennykh reshenii”, Differents. uravneniya, 43:7 (2007), 896–904 | MR | Zbl