On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of the Third Order

被引:0
作者
Aliev, A. R. [1 ,2 ]
Babayeva, S. F. [3 ]
机构
[1] Baku State Univ, AZ-1148 Baku, Azerbaijan
[2] NAS Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan
[3] NAS Azerbaijan, Inst Cybernet, AZ-1141 Baku, Azerbaijan
关键词
boundary value problem; operator-differential equation; Hilbert space; self-adjoint operator; regular solvability;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A boundary value problem for a class of the operator-differential equations of the third order on a semi-axis, where one of the boundary conditions is perturbed by some linear operator, is studied. There are obtained sufficient conditions on the operator coefficients of the considered boundary value problem providing its correct and univalent resolvability in Sobolev type space.
引用
收藏
页码:347 / 361
页数:15
相关论文
共 16 条
[1]   On the boundary value problem for a class of operator-differential equations of odd order with variable coefficients [J].
Aliev, A. R. .
DOKLADY MATHEMATICS, 2008, 78 (01) :497-499
[2]   Solubility of boundary-value problems for a class of third-order operator-differential equations in a weighted space [J].
Aliev, AR .
RUSSIAN MATHEMATICAL SURVEYS, 2005, 60 (04) :791-793
[3]  
ALIYEV AR, 1997, P I MATH MECH AS AZE, V7, P18
[4]  
[Anonymous], 2004, T NAS AZERB PTMS, V24, P37
[5]  
[Anonymous], P STEKLOV I MATH
[6]  
GASYMOV MG, 1992, DIFF EQUAT+, V28, P528
[7]  
GOBACHUK VI, 1990, BOUNDARY VALUE PROBL
[8]  
Gorbachuk M. L., 1973, FUNCT ANAL APPL, V7, p[68, 58]
[9]  
ILYIN VA, 1970, SOV MATH DOKL, V11, P339
[10]  
Kato T., 1966, PERTURBATION THEORY