Geodesic
A problem for a factorized equation with a pseudoparabolic differential operator
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2020), pp. 44-49

Voir la notice de l'article provenant de la source Math-Net.Ru

A new problem is proposed for a fourth-order factorized differential equation whose operator is the product of a first- and third-order differential operator. The existence and uniqueness of the solution of the problem are proved. The solution is constructed in terms of the Riemann function of the corresponding pseudoparabolic differential operator of the third order, and one of the functions included in the formula for solving the problem is determined in the resolvents of two integral equations.
Keywords: factorized equation, equation with leading partial derivative, Riemann method
Mots-clés : pseudoparabolic equation, Goursat problem, Volterra equation. 
@article{IVM_2020_8_a4,
     author = {L. B. Mironova},
     title = {A problem for a factorized equation with a pseudoparabolic differential operator},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {44--49},
     publisher = {mathdoc},
     number = {8},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_8_a4/}
}
TY  - JOUR
AU  - L. B. Mironova
TI  - A problem for a factorized equation with a pseudoparabolic differential operator
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2020
SP  - 44
EP  - 49
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2020_8_a4/
LA  - ru
ID  - IVM_2020_8_a4
ER  - 
%0 Journal Article
%A L. B. Mironova
%T A problem for a factorized equation with a pseudoparabolic differential operator
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2020
%P 44-49
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2020_8_a4/
%G ru
%F IVM_2020_8_a4
L. B. Mironova. A problem for a factorized equation with a pseudoparabolic differential operator. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2020), pp. 44-49. http://geodesic.mathdoc.fr/item/IVM_2020_8_a4/