@article{10_21136_CMJ_1978_101561,
author = {Bart\'ak, Jaroslav},
title = {Stability and correctness of abstract differential equations in {Hilbert} spaces},
journal = {Czechoslovak Mathematical Journal},
pages = {548--593},
year = {1978},
volume = {28},
number = {4},
doi = {10.21136/CMJ.1978.101561},
mrnumber = {0499545},
zbl = {0409.34057},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1978.101561/}
}
TY - JOUR AU - Barták, Jaroslav TI - Stability and correctness of abstract differential equations in Hilbert spaces JO - Czechoslovak Mathematical Journal PY - 1978 SP - 548 EP - 593 VL - 28 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1978.101561/ DO - 10.21136/CMJ.1978.101561 LA - en ID - 10_21136_CMJ_1978_101561 ER -
%0 Journal Article %A Barták, Jaroslav %T Stability and correctness of abstract differential equations in Hilbert spaces %J Czechoslovak Mathematical Journal %D 1978 %P 548-593 %V 28 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1978.101561/ %R 10.21136/CMJ.1978.101561 %G en %F 10_21136_CMJ_1978_101561
Barták, Jaroslav. Stability and correctness of abstract differential equations in Hilbert spaces. Czechoslovak Mathematical Journal, Tome 28 (1978) no. 4, pp. 548-593. doi: 10.21136/CMJ.1978.101561
[1] Barták J.: Lyapunov stability and stability at constantly acting disturbances of an abstract differential equatiçn of the second order. Czech. Math. J., 26 (101) 1976, 411 - 437. | MR
[2] Barták J.: The Lyapunov stability of the Timoshenko type equation. Časopis pro pěstování matematiky, roč. 101, 1976, 130-139. | MR
[3] Daleckij Ju. L., Krejn M. G.: Ustojčivosť rešenij differencialnych uravnenij v Banachovom prostranstve. Izdat2lstvo ''Nauka", Moskva 1970, (Russian).
[4] Davis S. H., Kerczek Ch.: A reformulation of energy stability theory. Arch. Rat. Mech. Anal., Vol 52, No 2, 1973, 112-117. | DOI | MR | Zbl
[5] Derguzov V. I.: Ob ustojčivosti rešenij uravněnij Gamiltona s neogranicennymi periodičeskimi operatornymi koeficientami. Matematičeskij sbornik, T. 63 (105), No 4, 1964, 591 - 619, (Russian). | MR
[6] Derguzov V. I.: Dostatočnyje uslovija ustojčivosti gamiltonovych uravněnij s neogranicennymi periodičeskimi operatornymi koeficientami. Matematičeskij sbornik, T. 64 (106), No 2, 1964, 419-435, (Russian). | MR
[7] Domšlak Ju. I.: К teorii differencialnych uravněnij v Banachovom prostranstve s postojannym neogranicennym operatorom. DAN Az. SSR, Tom XVIII, No 5, 1962, 3 - 6 (Russian).
[8] Fink J. P., Hall W. S., Hausrath A. R.: A convergent two-time method for periodic differential equations. J. Diff. Eq., Vol. 15, No 3, 1974, 459-498. | DOI | MR | Zbl
[9] Chalilov Z. I.: Ob ustojčivosti rešenij uravněnija v Banachovom prostranstve. DAN SSSR, Tom 137, No 4, 1961, 797-799, (Russian).
[10] Chalilov Z. I.: Ob ustojčivosti rešenij evoljucionnovo uravněnija s neograničennym operatorom. DAN Az. SSR, Tom XVII, No 2, 1961, 91-95, (Russian).
[11] Joseph D. D., Sattinger D. H.: Bifurcating time periodic solutions and their stability. Arch. Rat. Mech. Anal., Vol. 45, No 2, 1972, 79-109. | DOI | MR | Zbl
[12] Kielhöfer H.: Stability and semilinear evolution equations in Hilbert space. Arch. Rat. Mech. Anal., Vol. 57, No 2, 1974, 150-165. | DOI | MR
[13] Kurzweil J.: Exponentially stable integral manifolds. averaging principle and continuous dependence on a parameter, Czech. Math. J., 16 (91), 1966, No 3, 4, 380-423, 463 - 492. | MR | Zbl
[14] Leipholz H. H. E.: Stability of elastic rods via Liapunov's second method. Ingenieur - Archiv 44, 1975, 21-26. | MR | Zbl
[15] Malkin L G.: Teorija ustojcivosti dvizenija. Gosudarstvennoje izdatelstvo techniko-teoreticeskoj literatury, Moskva-Leningrad 1952, (Russian).
[16] Nachlinger R. R., Faust C. D.: On the stability of a linearly viscoelastic bar. ZAMM 52, 1972, 179-181. | DOI | MR | Zbl
[17] Neustupa J.: The uniform exponential stability and the uniform stability at constantly acting disturbances of a periodic solution of a wave equation. Czech. Math. J., 26 (101), 1976, 388-410. | MR | Zbl
[18] Parks P. С.: А stability criterion for panel flutter via the second method of Liapunov. AIAA Journal, 1966, 175-177. | DOI
[19] Park P. C.: A stability criterion for a panel flutter problem via the second method of Liapunov. Diff. Eq. Dynam. Systems, 1967, 287-298.
[20] Prodi G.: Teoremi di tipo locale per 11 sistema di Navier-Stokes a stabilité delle soluzioni stazionarie. Rend. Sem. Matematico, Université di Padova, Vol. XXXII, 1962, 374-397. | MR
[21] Sattinger D. H.: Topics in stability and bifurcation theory. Lecture Notes in Mathematics, 309, Springer-Verlag, Berlin-Heidelberg-New York, 1973. | MR | Zbl
[22] Serrin J.: On the stability of viscous fluid motions. Arch. Rat. Mech. Anal., Vol. 5, No 1, 1959, 1-13. | DOI | MR | Zbl
[23] Sova M.: On the Timoshenko type equations. Časopis pro pěstování matematiky, svazek 100, číslo 3, 1975, 217-254. | MR | Zbl
[24] Sova M.: Linear diff'erential equations in Banach spaces. Rozpravy ČSAV, řada matematických a přírodních věd. Vol. 85, sešit 6, Academia Praha, 1975. | MR
[25] Straškraba I., Vejvoda O.: Periodic solutions to abstract diff'erential equations. Czech. Math. J., 23 (98), 1973, 635-669. | MR
[26] Zenkovskaja S. M.: Ob ustojcivosti odnovo periodiceskovo resenija uravnenija Navje-Stoksa. Prikl. Mat. Meh., vyp. 1, 1967, 124-130, (Russian). | MR
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