Geodesic
Neumann's problem for one equation fourth order
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 119 (2009) no. 2, pp. 29-37

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Neumann's problem for pseudoparabolic equation of the 4th order in a rectangular domain is considered in the paper. The existence and uniqueness of solution are proved.
Keywords: Neumann's problem
Mots-clés : pseudoparabolic equations, Goursat problem. 
E. A. Utkina. Neumann's problem for one equation fourth order. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 119 (2009) no. 2, pp. 29-37. http://geodesic.mathdoc.fr/item/VSGTU_2009_119_2_a3/
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[1] Vladimirov V. S., Uravneniya matematicheskoi fiziki, Nauka, M., 1976, 528 pp.

[2] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973, 408 pp. | MR

[3] Berezanskii Yu. M., “O zadache tipa Dirikhle dlya uravneniya kolebaniya struny”, Ukr. matem. zh., 12:4 (1960), 363–372 | MR

[4] Soldatov A. P., Shkhanukov M. Kh., “Kraevye zadachi s obschim nelokalnym usloviem A. A. Samarskogo dlya psevdoparabolicheskikh uravnenii vysokogo poryadka”, Dokl. AN SSSR, 297:3 (1987), 547–552 | MR

[5] Colton D., “Pseudoparabolic equations in one space variable”, J. Different. equations, 12:3 (1972), 559–565 | DOI | MR | Zbl

[6] Utkina E. A., Ob odnom uravnenii v chastnykh proizvodnykh chetvertogo poryadka, Dep. v VINITI 28.06.99, No 2059–V99, Red. zh. “Differents. uravneniya”, Minsk, 1999, 13 pp.

[7] Zhegalov V. I., Mironov A. N., Differentsialnye uravneniya so starshimi chastnymi proizvodnymi, Kazan. matem. obsch-vo, Kazan, 2001, 226 pp.

[8] Bitsadze A. V., Nekotorye klassy uravnenii v chastnykh proizvodnykh, Nauka, M., 1981, 448 pp. | MR | Zbl