|
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References
|
|
|
1. |
Mikhlin S. G., Kurs matematicheskoi fiziki, Nauka, M., 1968 |
2. |
Gyunter N. M., Teoriya potentsiala i ee primenenie k osnovnym zadacham matematicheskoi fiziki, Gostekhizdat, M., 1953 |
3. |
Kondratev B. P., Teoriya potentsiala. Novye metody i zadachi s resheniyami, Mir, M., 2007 |
4. |
Gellerstedt S., “Sur un probleme aus limites pour l'equation $y^{2s}z_{xx}+z_{yy}=0$”, Arkiv Mat. Ast och Fysik, 25A:10 (1935), 1–12 |
5. |
Frankl F. I., “K teorii uravneniya $yz_{xx}+z_{yy}=0$”, Izv. AN SSSR, Ser. matem., 10:2 (1946), 135–166 |
6. |
Pulkin S. P., “Nekotorye kraevye zadachi dlya uravneniya $u_{xx}\pm u_{yy}+{p}{x^{-1}}u_x=0$”, Uchen. zap. Kuibyshevsk. pedagogichesk. in-ta, Fiz.-matem. nauki, 21 (1958), 3–54 |
7. |
Smirnov M. M., Vyrozhdayuschiesya ellipticheskie i giperbolicheskie uravneniya, Nauka, M., 1966 |
8. |
Srivastava H. M., Hasanov A., Choi J., “Double-layer potentials for a generalized bi-axially symmetric Helmholtz equation”, Sohag J. Math., 2:1 (2015), 1–10 |
9. |
Berdyshev A. S., Hasanov A., Ergashev T. G., “Double-layer potentials for a generalized bi-axially symmetric Helmholtz equation. II”, Complex Variables and Elliptic Equat., 65:2 (2020), 316–332 |
10. |
Ergashev T. G., “Tretii potentsial dvoinogo sloya dlya obobschennogo dvuosesimmetricheskogo uravneniya Gelmgoltsa”, Ufimsk. matem. zhurnal, 10:4 (2018), 111–121 |
11. |
Ergashev T. G., “Chetvertyi potentsial dvoinogo sloya dlya obobschennogo dvuosesimmetricheskogo uravneniya Gelmgoltsa”, Vestn. Tomsk. gos. un-ta., Matem. i mekhan., 2017, no. 50, 45–56 |
12. |
Mavlyaviev R. M., Garipov I. B., “Fundamental solution of multidimensional axisymmetric Helmholtz equation”, Complex Variables and Elliptic Equat., 63:3 (2017), 287–296 |
13. |
Mavlyaviev R. M., “Postroenie fundamentalnykh reshenii B-ellipticheskikh uravnenii s mladshimi chlenami”, Izv. vuzov. Matem., 61:6 (2017), 70–75 |
14. |
Mukhlisov F. G., Nigmedzyanova A. M., “Reshenie kraevykh zadach dlya vyrozhdayuschegosya ellipticheskogo uravneniya vtorogo roda metodom potentsialov”, Izv. vuzov. Matem., 2009, no. 8, 57–70 |
15. |
Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, v. 1, Nauka, M., 1973 |
16. |
Riesz F., “Über lineare Funktionalgleichungen”, Acta Math., 41 (1918), 71–98 |
17. |
Riss F., “O lineinykh funktsionalnykh uravneniyakh”, Usp. matem. nauk, 1936, no. 1, 175–199 |
18. |
Schauder J., “Über lineare vollstetige Funktionaloperationen”, Studia Math., 2 (1930), 183–196 |
19. |
Riss F., Sekifalvi-Nad B., Lektsii po funktsionalnomu analizu, Mir, M., 1979 |