Geodesic
On the Structure and Properties of Solutions of Integro-Differential Equations Arising in Thermal Physics and Acoustics
Matematičeskie zametki, Tome 90 (2011) no. 3, pp. 470-473.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: integro-differential equation, unbounded operator coefficient, exponential series, Hilbert space, the Sobolev space $W_1^1(\mathbb R_+)$, self-adjoint operator
Mots-clés : Laplace transform. 
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N. A. Rautian. On the Structure and Properties of Solutions of Integro-Differential Equations Arising in Thermal Physics and Acoustics. Matematičeskie zametki, Tome 90 (2011) no. 3, pp. 470-473. http://geodesic.mathdoc.fr/item/MZM_2011_90_3_a13/

[1] M. E. Gurtin, A. C. Pipkin, Arch. Rational Mech. Anal., 31:2 (1968), 113–126 | DOI | MR | Zbl

[2] L. Pandolfi, Appl. Math. Optim., 52:2 (2005), 143–165 | DOI | MR | Zbl

[3] A. I. Miloslavskii, Spektralnye svoistva operatornogo puchka, voznikayuschego v vyazkouprugosti, Dep. v Ukr. VINITI No 1229-UK87, Kharkov

[4] D. A. Kosmodemyanskii, A. S. Shamaev, Trudy Chetvertoi Mezhdunarodnoi konferentsii po differentsialnym i funktsionalno-differentsialnym uravneniyam (Moskva, 14–21 avgusta, 2005). Chast 3, SMFN, 17, RUDN, M., 2006, 88–109 | MR

[5] Zh.-L. Lions, E. Madzhenes, Neodnorodnye granichnye zadachi i ikh prilozheniya, v. 1, Mir, M., 1971 | MR | Zbl

[6] V. V. Vlasov, N. A. Rautian, A. C. Shamaev, Uravneniya v chastnykh proizvodnykh, SMFN, 39, RUDN, M., 2011, 36–65

[7] S. Ivanov, T. Sheronova, Spectrum of the Heat Equation with Memory, arXiv: math.CV/0912.1818v1

[8] V. V. Vlasov, D. A. Medvedev, Funktsionalno-differentsialnye uravneniya, SMFN, 30, RUDN, M., 2008, 3–173 | MR

[9] S. A. Ivanov, Spectrum of the Heat Equation with Memory, arXiv: math.CV/1002.2831

[10] V. V. Vlasov, Dzh. Vu, G. R. Kabirova, Trudy Pyatoi Mezhdunarodnoi konferentsii po differentsialnym i funktsionalno-differentsialnym uravneniyam (Moskva, 17–24 avgusta, 2008). Chast 1, SMFN, 35, RUDN, M., 2010, 44–59 | MR

[11] V. V. Vlasov, N. A. Rautian, Tr. sem. im. I. G. Petrovskogo, 29, Izd-vo Mosk. un-ta, M., 2011, 28–67