Solvability of a boundary value problem for operator-differential equations of mixed type

被引：0

作者：

V. I. Antipin

机构：

[1] North-Eastern Federal University,Institute of Mathematics and Informatics

来源：

Siberian Mathematical Journal | 2013年 / 54卷

关键词：

boundary value problem; operator-differential equation; generalized solution; smoothness, weighted Sobolev spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study boundary value problems for operator-differential equations of mixed type, prove existence of generalized solutions, and establish their smoothness in weighted Sobolev spaces. The results are applied to odd order forward-backward equations.

引用

页码：185 / 195

页数：10

共 50 条

[41] GENERALIZATION OF ONE M.G. GASYMOV THEOREM ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR SECOND ORDER OPERATOR-DIFFERENTIAL EQUATIONS OF ELLIPTIC TYPE
Mirzoev, Sabir S.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2014, 40 : 300 - 307
[42] On the boundary value problem for a class of operator-differential equations of odd order with variable coefficients
A. R. Aliev
Doklady Mathematics, 2008, 78 : 497 - 499
[43] ON NORMAL SOLVABILITY OF BOUNDARY VALUE PROBLEMS FOR OPERATOR-DIFFERENTIAL EQUATIONS ON SEMI-AXIS IN WEIGHT SPACE
Mirzoev, Sabir S.
Humbataliev, Rovshan Z.
TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (04): : 1637 - 1650
[44] On a Boundary Value Problem for Fourth-Order Operator-Differential Equations with a Variable Coefficient
Kalemkush, U. O.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2020, 10 (01): : 181 - 192
[45] On the boundary value problem for a class of operator-differential equations of odd order with variable coefficients
Aliev, A. R.
DOKLADY MATHEMATICS, 2008, 78 (01) : 497 - 499
[46] ON SOLVABILITY OF A BOUNDARY - VALUE PROBLEM FOR ELLIPTIC TYPE OPERATOR DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS COEFFICIENTS IN THE WEIGHT SPACE
Aliyev, Araz R.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2006, 24 (32): : 17 - 28
[47] ON THE SOLVABILITY OF SOME BOUNDARY VALUE PROBLEMS FOR OPERATOR-DIFFERENTIAL PROBLEMS IN A FINITE INTERVAL
Huseyn Ahmadov, Humeyir
Zulfiqar Humbataliev, Rovshan
REVISTA UNIVERSIDAD Y SOCIEDAD, 2021, 13 (06): : 265 - 274
[48] On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of the Third Order
Aliev, A. R.
Babayeva, S. F.
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2010, 6 (04) : 347 - 361
[49] ON THE SOLVABILITY OF SOME OPERATOR-DIFFERENTIAL EQUATIONS IN COMPLEX DOMAIN
Akhmedov, A. M.
Mustafayeva, Y. Y.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2008, 32 (A3): : 215 - 219
[50] ON THE SOLVABILITY OF ONE CLASS OF FOURTH ORDER ELLIPTIC TYPE OPERATOR-DIFFERENTIAL EQUATIONS
Ismailova, Malahat F.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2005, 23 (31): : 53 - 58

← 1 2 3 4 5 →