Geodesic
Transformation of the Abel integral equation with nonsmooth data into an integral equation of the second kind
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 1, pp. 85-106
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V. I. Gryn'. Transformation of the Abel integral equation with nonsmooth data into an integral equation of the second kind. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 1, pp. 85-106. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_1_a10/

[1] Gryn V. I., “O edinstvennosti opredeleniya koeffitsienta pogloscheniya pri sfericheskoi simmetrii”, Zh. vychisl. matem. i matem. fiz., 33:10 (1993), 1536–1549 | MR | Zbl

[2] Gryn V. I., Obratnye zadachi sovmestnogo vosstanovleniya temperatury i plotnosti sredy po integralnym po spektru kharakteristikam vykhodyaschego izlucheniya, Dep. v VINITI 09.06.95 g. No 1717-B95

[3] Gryn V. I., “Ob obratnykh zadachakh statsionarnogo perenosa izlucheniya”, Zh. vychisl. matem. i matem. fiz., 35:12 (1995), 1831–1853 | MR | Zbl

[4] Gryn V. I., “Ob obratnykh zadachakh teorii statsionarnogo perenosa izlucheniya v dvumernoi ploskoi geometrii”, Zh. vychisl. matem. i matem. fiz., 32:5 (1992), 758–771 | MR | Zbl

[5] Gryn V. I., Ob opredelenii funktsii istochnikov, zavisyaschei ot chetyrekh peremennykh v trekhmernykh obratnykh zadachakh statsionarnogo perenosa izlucheniya, Dep. v VINITI 09.06.95 g. No 1714-B95

[6] Gorenflo R., Vessella S., Abel integral equations. Analysis and applications, Lecture notes in mathematics, Springer, Berlin, 1991, 215 pp. | MR

[7] Vladimirov V. S., Uravneniya matematicheskoi fiziki, Nauka, M., 1971 | MR | Zbl

[8] Korn G., Korn T., Spravochnik po matematike, Nauka, M., 1977

[9] Birkeland J. W., Oss J. P., “Spatial resolution of the volume emission coefficient in strongly self-absorbing sources of cylindrical symmetry”, Appl. Optics, 7:8 (1968), 1635–1639 | DOI

[10] Romanov V. G., Obratnye zadachi matematicheskoi fiziki, Nauka, M., 1984 | MR

[11] Gryn V. I., “O nelineinykh integralnykh uravneniyakh Volterra I roda s integriruemoi osobennostyu”, Dokl. AN SSSR, 314:4 (1990), 838–841 | MR | Zbl

[12] Gryn V. I., O suschestvovanii, edinstvennosti i ustoichivosti reshenii uravneniya Abelya, Dep. v VINITI 09.06.95 g. No 1715-B95

[13] Gryn V. I., Nitishinskaya L. V., “Obratnye trekhmernye zadachi sovmestnogo opredeleniya koeffitsienta pogloscheniya i funktsii istochnikov dlya uravneniya perenosa”, Zh. vychisl. matem. i matem. fiz., 32:1 (1992), 97–114 | MR

[14] Gryn V. I., “Ob opredelenii koeffitsienta pogloscheniya pri sfericheskoi simmetrii”, Zh. vychisl. matem. i matem. fiz., 30:9 (1990), 1341–1356 | MR | Zbl

[15] Kudryavtsev L. D., Kurs matematicheskogo analiza, v. 1, Vyssh. shkola, M., 1981