Geodesic
Asymptotic expansions of the Darboux problem solutions for the singularly perturbed hyperbolic equations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 863-869 
A. O. Abduvaliev. Asymptotic expansions of the Darboux problem solutions for the singularly perturbed hyperbolic equations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 863-869. http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The asymptotic expansions of the Darboux problem solutions for the singularly perturbed hyperbolic equation are constructed. The error estimate for this representations is obtained.

[1] Butuzov V. F., “Uglovoi pogransloi v smeshannykh singulyarno vozmuschennykh zadachakh dlya giperbolicheskikh uravnenii”, Matem. sb., 104(146):3(11) (1977), 460–485 | MR | Zbl

[2] Trenogin V. A., “Razvitie i prilozheniya asimptoticheskogo metoda Lyusternika-Vishika”, Uspekhi matem. nauk, 25:4 (1970), 123–156 | MR | Zbl

[3] Vasileva A. B., Butuzov V. F., Asimptoticheskie metody v teorii singulyarnykh vozmuschenii, Vysshaya shkola, M., 1990 | MR

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

[5] Sabitov K. B., “Postroenie v yavnom vide reshenii zadach Darbu dlya telegrafnogo uravneniya i ikh primenenie pri obraschenii integralnykh uravnenii. I”, Diff. uravneniya, 26:6 (1990), 1023–1032 | MR