THIRD-ORDER OPERATOR-DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS COEFFICIENTS AND OPERATORS IN THE BOUNDARY CONDITIONS

被引：0

作者：

Aliev, Araz R. ^{[1
]}

Muradova, Nazila L. ^{[2
]}

机构：

[1] Baku State Univ, Inst Math & Mech NAS Azerbaijan, Baku, Azerbaijan

[2] Nakhchivan State Univ, Nakhchivan, Azerbaijan

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Operator-differential equation; discontinuous coefficient; operator-valued boundary condition; self-adjoint operator; regular solvability; Sobolev-type space; intermediate derivative operators; SOLVABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a third-order operator-differential equation on the semi-axis with a discontinuous coefficient and boundary conditions which include an abstract linear operator. Sufficient conditions for the well-posed and unique solvability are found by means of properties of the operator coefficients in a Sobolev-type space.

引用

页数：13

共 50 条

[41] DISCONJUGACY AND OSCILLATION OF THIRD-ORDER DIFFERENTIAL EQUATIONS WITH NONNEGATIVE COEFFICIENTS
ETGEN, GJ
SHIH, CD
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 38 (03) : 577 - 582
[42] On the solvability in a weighted space of an initial–boundary value problem for a third-order operator-differential equation with a parabolic principal part
A. R. Aliev
F. S. Lachinova
Doklady Mathematics, 2016, 93 : 85 - 88
[43] To the theory of operator-differential equations of the second order
Mirzoev, S. S.
Karaaslan, M. D.
Gumbataliev, R. Z.
DOKLADY MATHEMATICS, 2013, 88 (03) : 741 - 743
[44] DISCONJUGACY CONDITIONS FOR LINEAR THIRD-ORDER DIFFERENTIAL EQUATIONS
JACKSON, LK
JOURNAL OF DIFFERENTIAL EQUATIONS, 1968, 4 (03) : 369 - &
[45] Solvability of a class of boundary value problems for second-order operator-differential equations with a discontinuous coefficient in a weighted space
Aliev, A. R.
DIFFERENTIAL EQUATIONS, 2007, 43 (10) : 1459 - 1463
[46] On a problem for operator-differential second-order equations with nonlocal boundary condition
Kerimov, K. A.
Mirzoev, S. S.
MATHEMATICAL NOTES, 2013, 94 (3-4) : 330 - 334
[47] Solvability of a class of boundary value problems for second-order operator-differential equations with a discontinuous coefficient in a weighted space
A. R. Aliev
Differential Equations, 2007, 43 : 1459 - 1463
[48] Conditions for the existence of selfadjoint extensions of a third-order differential operator
Serebryakov, VP
DIFFERENTIAL EQUATIONS, 1996, 32 (02) : 204 - 207
[49] Singular perturbations of third-order nonlinear differential equations with full nonlinear boundary conditions
Lin, Xiaojie
APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 : 88 - 95
[50] Hyperbolic second-order differential equations with discontinuous operator coefficients
Lomovtsev, FE
DIFFERENTIAL EQUATIONS, 1997, 33 (10) : 1400 - 1409

← 1 2 3 4 5 →