On the solvability in a weight space of a third-order operator-differential equation with multiple characteristic

Алиев, А. Р.; Elbably, A. L.

doi:10.1134/s106456241201036x

Cited by 7 publications

(6 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Considering the results found till now (see [12]), we get the possibility to establish regular solvability conditions of the problem (1.1), (1.2). H), then holds the inequality (see [13])…”

Section: Resultsmentioning

confidence: 95%

Conditional Solvability of the Boundary Value Problem of a Self-Adjoint Operator-Differential Equations in a Sobolev-Type Space

Labeeb¹,

Ahmed²,

Rashed³

2019

Int. J. of Appl. Math.

View full text Add to dashboard Cite

In this paper, in the space of Sobolev type W 5 2 (R; H) obtained the sufficient conditions of regular solvability of initial-boundary value problem of fifth order operator-differential equations with complicated characteristics on the real axis, these conditions depend only on the operator coefficients of the considered equation. The exact values of norms of the intermediate derivatives operators of the essential part of the investigated equation are obtained.

show abstract

“…Considering the results found till now (see [12]), we get the possibility to establish regular solvability conditions of the problem (1.1), (1.2). H), then holds the inequality (see [13])…”

Section: Resultsmentioning

confidence: 95%

Conditional Solvability of the Boundary Value Problem of a Self-Adjoint Operator-Differential Equations in a Sobolev-Type Space

Labeeb¹,

Ahmed²,

Rashed³

2019

Int. J. of Appl. Math.

View full text Add to dashboard Cite

show abstract

“…Considering the results found up to now see [14], for problems (1.1) and (1.2), we get the possibility to establish regular solvability conditions.…”

Section: Lemmamentioning

confidence: 82%

Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation

et al. 2019

View full text Add to dashboard Cite

In this study, we establish existence-uniqueness of a vector function in appropriate Sobolev-type space for a boundary value problem of a fifth-order operator differential equation. Proper conditions are obtained for the given problem to be well-posed. Much effort is devoted to develop the association between these conditions and the operator coefficients of the investigated equation. In this paper, accurate estimates of the norms of the intermediate derivatives operators are presented and used to determine the solvability conditions.

show abstract

“…Definition 2. Let λ 0 be an eigenvalue of the operator pencil (1), where Reλ 0 < 0. Then, if x 0 , x 1 , ..., x m is a system of eigen-and associated vectors of the operator pencil P (λ) corresponding to the eigenvalue λ 0 , then…”

Section: Some Definitions and Facts From The Theory Of Linear Operatorsmentioning

confidence: 99%

On the Minimality of a Part of Eigen- And Associated Vectors for a Class of Third-Order Quasi-Elliptic Ope

T. Gazilova,

S. Mirzoev

2024

BMJ

View full text Add to dashboard Cite

show abstract

On the solvability in a weight space of a third-order operator-differential equation with multiple characteristic

Cited by 7 publications

References 4 publications

Conditional Solvability of the Boundary Value Problem of a Self-Adjoint Operator-Differential Equations in a Sobolev-Type Space

Conditional Solvability of the Boundary Value Problem of a Self-Adjoint Operator-Differential Equations in a Sobolev-Type Space

Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation

On the Minimality of a Part of Eigen- And Associated Vectors for a Class of Third-Order Quasi-Elliptic Ope

Contact Info

Product

Resources

About