ON AN INVERSE BOUNDARY VALUE PROBLEM FOR PSEUDOHYPERBOLIC EQUATION FOR THE FOURTH ORDER WITH INTEGRAL CONDITION OF THE FIRST KIND
Authors:
Type:
Article
Pages:
from 106
to 108
Status:
Published
Received:
29.08.2014
Accepted:
09.10.2014
Published:
09.10.2014
Language:
Russian
Keywords:
inverse boundary problem, pseudo hyperbolic equation, Fourier’s method, classic solution
Abstract (English):
In this paper an inverse problem for the pseudohyperbolic equation of fourth order with integral condition of the first kind. First of all the initial problem reduced to the equivalent problem, for which the theorem of existence and uniqueness proved. Then using these facts the existence and uniqueness of the classical solution of initial problem is proved.
In this paper an inverse problem for the pseudohyperbolic equation of fourth order with integral condition of the first kind. First of all the initial problem reduced to the equivalent problem, for which the theorem of existence and uniqueness proved. Then using these facts the existence and uniqueness of the classical solution of initial problem is proved.
Keywords:
inverse boundary problem, pseudo hyperbolic equation, Fourier’s method, classic solution
inverse boundary problem, pseudo hyperbolic equation, Fourier’s method, classic solution
1. Gabov S.A., Orazov V.B. Ob uravnenii i nekotorykh svyazannykh s nim zadachakh / S.A. Gabov. Zhurnal vychislitel´noy matematiki i matematicheskoy fiziki, 1986, t.26, №1, s.92-102.
