Geodesic
On the solvability of nonlinear partial differential equations of high order with deviating argument in lowest terms
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2016), pp. 10-17

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

We prove the existence of a solution to higher order partial differential equation with discrete deviation of the argument in lowest terms. The proof is carried out by the method of separation of variables. We also investigate the boundary-value problem for a particular case of the corresponding fourth order nonlinear equation.
Keywords: partial differential equation, deviating argument, Fourier method, boundary-value problem, method of asymptotic expansions. 
@article{IVM_2016_7_a1,
     author = {O. I. Bzheumikhova and V. N. Lesev},
     title = {On the solvability of nonlinear partial differential equations of high order with deviating argument in lowest terms},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {10--17},
     publisher = {mathdoc},
     number = {7},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_7_a1/}
}
TY  - JOUR
AU  - O. I. Bzheumikhova
AU  - V. N. Lesev
TI  - On the solvability of nonlinear partial differential equations of high order with deviating argument in lowest terms
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2016
SP  - 10
EP  - 17
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2016_7_a1/
LA  - ru
ID  - IVM_2016_7_a1
ER  - 
%0 Journal Article
%A O. I. Bzheumikhova
%A V. N. Lesev
%T On the solvability of nonlinear partial differential equations of high order with deviating argument in lowest terms
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2016
%P 10-17
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2016_7_a1/
%G ru
%F IVM_2016_7_a1
O. I. Bzheumikhova; V. N. Lesev. On the solvability of nonlinear partial differential equations of high order with deviating argument in lowest terms. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2016), pp. 10-17. http://geodesic.mathdoc.fr/item/IVM_2016_7_a1/