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@article{CMFD_2006_15_a7, author = {V. V. Vlasov and D. A. Medvedev}, title = {On asymptotic properties of solutions of functional differential equations of neutral type}, journal = {Contemporary Mathematics. Fundamental Directions}, pages = {112--125}, publisher = {mathdoc}, volume = {15}, year = {2006}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/CMFD_2006_15_a7/} }
TY - JOUR AU - V. V. Vlasov AU - D. A. Medvedev TI - On asymptotic properties of solutions of functional differential equations of neutral type JO - Contemporary Mathematics. Fundamental Directions PY - 2006 SP - 112 EP - 125 VL - 15 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2006_15_a7/ LA - ru ID - CMFD_2006_15_a7 ER -
%0 Journal Article %A V. V. Vlasov %A D. A. Medvedev %T On asymptotic properties of solutions of functional differential equations of neutral type %J Contemporary Mathematics. Fundamental Directions %D 2006 %P 112-125 %V 15 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2006_15_a7/ %G ru %F CMFD_2006_15_a7
V. V. Vlasov; D. A. Medvedev. On asymptotic properties of solutions of functional differential equations of neutral type. Contemporary Mathematics. Fundamental Directions, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 1, Tome 15 (2006), pp. 112-125. http://geodesic.mathdoc.fr/item/CMFD_2006_15_a7/
[1] Bellman R., Kuk K., Differentsialno-raznostnye uravneniya, Mir, M., 1967 | MR | Zbl
[2] Vlasov V. V., “Korrektnaya razreshimost odnogo klassa differentsialnykh uravnenii v gilbertovom prostranstve”, Izv. vuzov, ser. mat., 1996, no. 1, 22–35 | MR | Zbl
[3] Vlasov V. V., “Ob odnom klasse differentsialno-raznostnykh uravnenii neitralnogo tipa”, Izv. vuzov, ser. mat., 1999, no. 2, 20–29 | MR | Zbl
[4] Vlasov V. V., “Ob otsenkakh reshenii differentsialno-raznostnykh uravnenii neitralnogo tipa”, Izv. vuzov, ser. mat., 2000, no. 4, 14–22 | MR | Zbl
[5] Vlasov V. V., Ivanov S. A., “Otsenki reshenii uravnenii s posledeistviem v prostranstvakh Soboleva i bazis iz razdelennykh raznostei”, Mat. zametki, 72:2 (2002), 303–306 | MR | Zbl
[6] Vlasov V. V., Ivanov S. A., “Otsenki reshenii uravnenii s posledeistviem v shkale prostranstv Soboleva i bazis iz razdelennykh raznostei”, Algebra i analiz, 15:4 (2003), 115–141 | MR | Zbl
[7] Vlasov V. V., Medvedev D. A., “Otsenki reshenii differentsialno-raznostnykh uravnenii neitralnogo tipa”, Dokl. RAN, 389:2 (2003), 156–158 | MR | Zbl
[8] Gokhberg I. Ts., Krein M. G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov v gilbertovom prostranstve, Nauka, M., 1965 | MR
[9] Gromova S. G., Zverkin A. M., “O trigonometricheskikh ryadakh, summoi kotorykh yavlyaetsya nepreryvnaya neogranichennaya na chislovoi osi funktsiya – reshenie uravneniya s otklonyayuschimsya argumentom”, Diff. ur-ya, 4:10 (1986), 1774–1784 | MR
[10] Markus A. S., Vvedenie v spektralnuyu teoriyu polinomialnykh operatornykh puchkov, Shtinitsa, Kishinev, 1986 | MR | Zbl
[11] Miloslavskii A. I., “Ob ustoichivosti nekotorykh klassov evolyutsionnykh uravnenii”, Sib. mat. zh., 26 (1985), 118–132 | MR
[12] Myshkis A. D., Lineinye differentsialnye uravneniya s zapazdyvayuschim argumentom, Nauka, M., 1972 | MR | Zbl
[13] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977 | MR
[14] Sedletskii A. M., “Biortogonalnye razlozheniya funktsii v ryady eksponent na intervalakh veschestvennoi osi”, Usp. mat. nauk, 37:5 (1982), 51–95 | MR
[15] Kheil Dzh., Teoriya funktsionalno-differentsialnykh uravnenii, Mir, M., 1984 | MR
[16] Burns J. A., Herdman T. L., Stech H. W., “Linear functional differential equations as semigroups on product spaces”, SIAM J. Math. Anal., 14:1 (1983), 98–116 | DOI | MR | Zbl
[17] Hale J., Verduyn Lunel S., Introduction to Functional Differential Equations, Springer-Verlag, New York, 1993 | MR
[18] Henry D., “Linear autonomous neutral functional differential equations”, J. Differ. Equations, 15 (1974), 106–128 | DOI | MR | Zbl
[19] Kolmanovskii V., Nosov V., Stability of Functional Differential Equations, Academic Press, San Diego, 1986 | MR | Zbl
[20] Rabath R., Sklyar G., Resounenko A., “Generalized Riesz basis property in the analysis of neutral type systems”, C. R. Acad. Sci. Paris, 1337 (2003), 19–24 | MR
[21] Verduyn Lunel S. M., Yakubovich D. V., “A functional model approach to linear neutral functional difference equations”, Int. Equ. Oper. Theory, 27 (1997), 347–378 | DOI | MR | Zbl
[22] Vlasov V. V., “On spectral problems arising in the theory of functional differential equations”, Funct. Differ. Equ., 8:3–4 (2001), 435–446 | MR | Zbl
[23] Vlasov V. V., Medvedev D. A., “On certain properties of exponential solutions of difference differential equations in Sobolev spaces”, Funct. Differ. Equ., 9:3–4 (2002), 423–435 | MR | Zbl
[24] Vlasov V. V., Wu J., “Sharp estimates of solutions to neutral equations in Sobolev spaces”, Funct. Differ. Equ., 12:3–4 (2005), 437–461 | MR | Zbl
[25] Wu J., “Theory and applications of partial functional differential equations”, Appl. Math. Sci., 1996, 119 | MR