Geodesic
Analysis of mixed problems of matching in hyperbolic systems of different orders
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 7, pp. 1171-1185 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A mixed problem of matching in hyperbolic systems of different orders with irregular boundary conditions is considered. In particular, these systems include hyperbolic systems with coefficients having discontinuities of the first kind. Under certain conditions, an analytical representation of the solution of the problem is obtained by means of a finite integral transform. 
@article{ZVMMF_2014_54_7_a6,
     author = {E. A. Gasymov},
     title = {Analysis of mixed problems of matching in hyperbolic systems of different orders},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1171--1185},
     year = {2014},
     volume = {54},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_7_a6/}
}
TY  - JOUR
AU  - E. A. Gasymov
TI  - Analysis of mixed problems of matching in hyperbolic systems of different orders
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2014
SP  - 1171
EP  - 1185
VL  - 54
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_7_a6/
LA  - ru
ID  - ZVMMF_2014_54_7_a6
ER  - 
%0 Journal Article
%A E. A. Gasymov
%T Analysis of mixed problems of matching in hyperbolic systems of different orders
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2014
%P 1171-1185
%V 54
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_7_a6/
%G ru
%F ZVMMF_2014_54_7_a6
E. A. Gasymov. Analysis of mixed problems of matching in hyperbolic systems of different orders. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 7, pp. 1171-1185. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_7_a6/

[1] Cauchu A. L., Me'moir sur l'application du calcul des residus a'la solution des problemes de physique mathematique, v. II, Paris, 1827, 1–56

[2] Birkhorff G. D., “On the asymptotic character of the solutions of certain linear differential equations containing a parameter”, Trans. Am. Math. Soc., 1908, no. 9, 219–232 | DOI

[3] Tamarkin Ya. D., O nekotorykh obschikh zadachakh teorii obyknovennykh uravnenii i o razlozhenii proizvolnykh funktsii v ryady, Petrograd, 1917

[4] Ilin V. A., Izbrannye trudy, v. 1, Maks Press, M., 2008, 728 pp.; т. 2, 692 с.

[5] Rasulov M. L., Metod konturnogo integrala, Nauka, M., 1964

[6] Naimark M. A., Lineinye differentsialnye operatory, Nauka, M., 1969

[7] Moiseev E. I., Taranov N. O., “Reshenie odnoi zadachi Gellerstedta dlya uravneniya Lavrenteva–Bitsadze”, Differents. ur-niya, 45:4 (2009), 543–548

[8] Mamedov Yu. A., Nagieva R. I., Matematicheskii analiz kriticheskikh zadach elektrodinamiki, Elm, Baku, 2010

[9] Lomov I. S., “Negladkie sobstvennye funktsii v zadachakh matematicheskoi fiziki”, Differents. ur-niya, 47:3 (2011), 358–365

[10] Shkalikov A. A., “Kraevye zadachi dlya obyknovennykh differentsialnykh uravnenii s parametrom v granichnykh usloviyakh”, Tr. seminara im. I. G. Petrovskogo, 9, Izd-vo MGU, 1983, 190–229

[11] Vagabov A. I., “O bazisnosti sobstvennykh elementov obyknovennykh lineinykh differentsialnykh operatorov v prostranstve tipa $L_p$, $p\geqslant 2$”, Differents. ur-niya, 48:4 (2012), 471–478

[12] Lavrentev M. A., Shabat B. V., Metody teorii funktsii kompleksnogo peremennogo, Gostekhizdat, M., 1951

[13] Gasymov E. A., Integralnye preobrazovaniya i parabolicheskie potentsialy: primeneniya ikh k resheniyu nekotorykh smeshannykh zadach, Dis. ... kand. fiz.-mat. nauk, MGU, M., 1984, 157 pp.

[14] Gasymov E. A., Metod konechnogo integralnogo preobrazovaniya i ego prilozheniya, Elm, Baku, 2009