Geodesic
The solvability of an external initial and boundary-value problem for the ion-acoustic wave equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 10, pp. 180-189 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1996_36_10_a16,
     author = {A. B. Al'shin and Yu. D. Pletner and A. G. Sveshnikov},
     title = {The solvability of an external initial and boundary-value problem for the ion-acoustic wave equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {180--189},
     year = {1996},
     volume = {36},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a16/}
}
TY  - JOUR
AU  - A. B. Al'shin
AU  - Yu. D. Pletner
AU  - A. G. Sveshnikov
TI  - The solvability of an external initial and boundary-value problem for the ion-acoustic wave equation
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1996
SP  - 180
EP  - 189
VL  - 36
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a16/
LA  - ru
ID  - ZVMMF_1996_36_10_a16
ER  - 
%0 Journal Article
%A A. B. Al'shin
%A Yu. D. Pletner
%A A. G. Sveshnikov
%T The solvability of an external initial and boundary-value problem for the ion-acoustic wave equation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1996
%P 180-189
%V 36
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a16/
%G ru
%F ZVMMF_1996_36_10_a16
A. B. Al'shin; Yu. D. Pletner; A. G. Sveshnikov. The solvability of an external initial and boundary-value problem for the ion-acoustic wave equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 10, pp. 180-189. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a16/

[1] Ikezi X., “Eksperimentalnoe issledovanie solitonov v plazme”, Solitony v deistvii, Nauka, M., 1981, 163–184

[2] Gabov S. A., “Matematicheskie osnovy lineinoi teorii nestatsionarnykh ionno-zvukovykh voln v nezamagnichennoi plazme”, Matem. modelirovanie, 1:12 (1989), 133–148 | MR | Zbl

[3] Pletner Yu. D., “Fundamentalnye resheniya operatorov tipa Soboleva i nekotorye nachalno-kraevye zadachi”, Zh. vychisl. matem. i matem. fiz., 32:12 (1992), 1885–1899 | MR | Zbl

[4] Alshin A. B., Pletner Yu. D., “Yavnoe reshenie odnoi nachalno-kraevoi zadachi teorii ionno-zvukovykh voln v nezamagnichennoi plazme i ego asimptotika”, Zh. vychisl. matem. i matem. fiz., 34:8–9 (1994), 1323–1330 | MR

[5] Gyunter N. M., Teoriya potentsiala i ee primenenie k osnovnym zadacham matematicheskoi fiziki, Gostekhteorizdat, M., 1953 | MR | Zbl

[6] Gabov S. A., Sveshnikov A. G., Lineinye zadachi teorii nestatsionarnykh vnutrennikh voln, Nauka, M., 1990 | MR

[7] Pletner Yu. D., “O svoistvakh resheniya nekotorykh uravnenii v chastnykh proizvodnykh”, Zh. vychisl. matem. i matem. fiz., 32:6 (1992), 890–903 | MR | Zbl

[8] Dmitriev V. I., Zakharov E. V., Integralnye uravneniya v kraevykh zadachakh elektrodinamiki, Izd-vo MGU, M., 1987 | MR

[9] Khvedelidze B. V., “Lineinye razryvnye granichnye zadachi teorii funktsii, singulyarnye integralnye uravneniya i nekotorye ikh prilozheniya”, Tr. Tbilisskogo matem. in-ta AN GruzSSR, 23, Tbilisi, 1956, 3–158

[10] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Fizmatgiz, M., 1962

[11] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1968 | MR | Zbl

[12] Gabov S. A., “O reshenii odnoi zadachi dinamiki stratifitsirovannoi zhidkosti i ego stabilizatsii pri $t\to+\infty$”, Zh. vychisl. matem. i matem. fiz., 25:5 (1985), 718–730 | MR