Geodesic
On positiveness of a solution to inhomogeneous mixed type equation of higher order
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2016), pp. 65-71 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

For an inhomogeneous equation of mixed elliptic-hyperbolic type of higher order we establish sign-definiteness of a solution depending on the sign of the right-side side.
Keywords: mixed type equation, high order, maximum principle, positivity of solution. 
@article{IVM_2016_3_a6,
     author = {K. B. Sabitov},
     title = {On positiveness of a~solution to inhomogeneous mixed type equation of higher order},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {65--71},
     year = {2016},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_3_a6/}
}
TY  - JOUR
AU  - K. B. Sabitov
TI  - On positiveness of a solution to inhomogeneous mixed type equation of higher order
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2016
SP  - 65
EP  - 71
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/IVM_2016_3_a6/
LA  - ru
ID  - IVM_2016_3_a6
ER  - 
%0 Journal Article
%A K. B. Sabitov
%T On positiveness of a solution to inhomogeneous mixed type equation of higher order
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2016
%P 65-71
%N 3
%U http://geodesic.mathdoc.fr/item/IVM_2016_3_a6/
%G ru
%F IVM_2016_3_a6
K. B. Sabitov. On positiveness of a solution to inhomogeneous mixed type equation of higher order. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2016), pp. 65-71. http://geodesic.mathdoc.fr/item/IVM_2016_3_a6/

[1] Zhegalov V. I., “Kraevaya zadacha dlya uravneniya smeshannogo tipa vysshego poryadka”, DAN SSSR, 136:2 (1961), 274–276 | Zbl

[2] Bitsadze A. V., Izbrannye trudy, Nauka, Nalchik, 2012

[3] Agishev R. Ya., “K probleme uravnenii smeshannogo tipa”, Tr. Kazansk. aviats. in-ta, 35:3 (1957), 3–10

[4] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1960

[5] Muskhelishvili N. I., Nekotorye osnovnye zadachi matematicheskoi teorii uprugosti, Nauka, M., 1966

[6] Sobolev S. L., Vvedenie v teoriyu kubaturnykh formul, Nauka, M., 1974 | MR

[7] Petrovskii I. G., Lektsii ob uravneniyakh s chastnymi proizvodnymi, Gostekhizdat, M.–L., 1950

[8] Sabitov K. B., Uravneniya matematicheskoi fiziki, Fizmatlit, M., 2013

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