A SOLVING PROBLEM FOR THIRD-ORDER EQUATION OF SOBOLEV TYPE BY CASCAUDIAN DECOMPOSITION METHOD
Authors:
Type:
Article
Pages:
from 79
to 82
Status:
Published
Received:
29.08.2014
Accepted:
08.10.2014
Published:
08.10.2014
Language:
Russian
Keywords:
third-order equation of Sobolev-type, descriptor equation, fredholm operator, cascadian decomposition
Abstract (English):
For Sobolev-type equation of the third order to solve the problem with zero conditions for both variables. To solve this problem, the cascade method is used for decomposition of the Cauchy problem for the descriptor operator-differential equation.
For Sobolev-type equation of the third order to solve the problem with zero conditions for both variables. To solve this problem, the cascade method is used for decomposition of the Cauchy problem for the descriptor operator-differential equation.
Keywords:
third-order equation of Sobolev-type, descriptor equation, fredholm operator, cascadian decomposition
third-order equation of Sobolev-type, descriptor equation, fredholm operator, cascadian decomposition
1. Uskov V.I. Reshenie odnoy zadachi dlya uravneniya v chastnykh proizvodnykh tret´ego poryadka metodom kaskadnoy dekompozitsii / V.I. Uskov. Materialy voronezhskoy vesenney matematicheskoy shkoly «Pontryaginskie chteniya-XXIV». - 2013. - S. 199-200.
2. Zubova S.P. Reshenie odnorodnoy zadachi Koshi dlya uravneniya s neterovym operatorom pri proizvodnoy / S.P. Zubova. Doklady AN. - 2009. - T. 428, № 4. - S. 444-446.
3. Kreyn S.G. Lineynye uravneniya v banakhovom prostranstve / S.G. Kreyn. - M. : Nauka, 1971. - 104 s.
