Oblique derivative problem with variable inclination angle: Location of the spectrum and the absence of the basis property of the system of root functions

A. A. Polosin

doi:10.1134/s0012266111100119

Oblique derivative problem with variable inclination angle: Location of the spectrum and the absence of the basis property of the system of root functions

Differential Equations ◽

10.1134/s0012266111100119 ◽

2011 ◽

Vol 47 (10) ◽

pp. 1482-1489 ◽

Cited By ~ 4

Author(s):

A. A. Polosin

Keyword(s):

Inclination Angle ◽

Basis Property ◽

Oblique Derivative Problem ◽

Root Functions ◽

Derivative Problem ◽

System Of Root Functions

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Basis Property of the System of Root Functions of the Oblique Derivative Problem for the Laplace Operator in a Disk

Differential Equations ◽

10.1134/s0012266119100100 ◽

2019 ◽

Vol 55 (10) ◽

pp. 1349-1361

Author(s):

A. B. Kostin ◽

V. B. Sherstyukov

Keyword(s):

Laplace Operator ◽

Basis Property ◽

Oblique Derivative Problem ◽

Root Functions ◽

Derivative Problem ◽

The Laplace Operator ◽

System Of Root Functions

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The Basis Property of the System of Root Functions of the Oblique Derivative Problem

Doklady Mathematics ◽

10.1134/s1064562418060030 ◽

2018 ◽

Vol 98 (2) ◽

pp. 409-412 ◽

Cited By ~ 1

Author(s):

A. B. Kostin ◽

V. B. Sherstyukov

Keyword(s):

Basis Property ◽

Oblique Derivative Problem ◽

Root Functions ◽

Derivative Problem ◽

System Of Root Functions

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The Basis Properties of the System of Root Functions of the Oblique Derivative Problem

Доклады Академии наук ◽

10.31857/s086956520003123-8 ◽

2018 ◽

Vol 482 (1) ◽

pp. 12-15

Author(s):

A. Kostin ◽

◽

V. Sherstyukov ◽

Keyword(s):

Oblique Derivative Problem ◽

Root Functions ◽

Derivative Problem ◽

System Of Root Functions

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Unconditional Basis Property of the System of Root Functions of a Differential Operator with Integral Boundary Conditions

Differential Equations ◽

10.1134/s0012266119060065 ◽

2019 ◽

Vol 55 (6) ◽

pp. 787-805 ◽

Cited By ~ 1

Author(s):

I. S. Lomov

Keyword(s):

Differential Operator ◽

Boundary Conditions ◽

Unconditional Basis ◽

Integral Boundary Conditions ◽

Basis Property ◽

Integral Boundary ◽

Root Functions ◽

System Of Root Functions

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On an analog of the Riesz theorem and the basis property of the system of root functions of a differential operator in L p : II

Differential Equations ◽

10.1134/s0012266113040046 ◽

2013 ◽

Vol 49 (4) ◽

pp. 437-449 ◽

Cited By ~ 2

Author(s):

V. M. Kurbanov

Keyword(s):

Differential Operator ◽

Basis Property ◽

Riesz Theorem ◽

Root Functions ◽

System Of Root Functions

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On the basis property of the riesz system of root functions of a differential operator with integral conditions

Mathematical Notes ◽

10.1007/bf02675599 ◽

1999 ◽

Vol 65 (6) ◽

pp. 797-801

Author(s):

Yu. G. Sentsov

Keyword(s):

Differential Operator ◽

Basis Property ◽

Integral Conditions ◽

Root Functions ◽

Riesz System ◽

System Of Root Functions

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Basis Property of the System of Root Functions of a Classical Spectral Problem with a Multiple Eigenvalue

Differential Equations ◽

10.1134/s0012266118100117 ◽

2018 ◽

Vol 54 (10) ◽

pp. 1399-1402 ◽

Cited By ~ 2

Author(s):

N. Yu. Kapustin

Keyword(s):

Spectral Problem ◽

Basis Property ◽

Multiple Eigenvalue ◽

Root Functions ◽

System Of Root Functions

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Defect basis property of a system of root functions of a Sturm–Liouville problem with spectral parameter in the boundary conditions

Differential Equations ◽

10.1134/s0012266115100018 ◽

2015 ◽

Vol 51 (10) ◽

pp. 1249-1266 ◽

Cited By ~ 13

Author(s):

Z. S. Aliev ◽

A. A. Dun’yamalieva

Keyword(s):

Boundary Conditions ◽

Spectral Parameter ◽

Liouville Problem ◽

Basis Property ◽

Root Functions ◽

Sturm Liouville ◽

System Of Root Functions

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Analog of the Riesz theorem and the basis property in L p of a system of root functions of a differential operator: I

Differential Equations ◽

10.1134/s0012266113010023 ◽

2013 ◽

Vol 49 (1) ◽

pp. 7-19 ◽

Cited By ~ 3

Author(s):

V. M. Kurbanov

Keyword(s):

Differential Operator ◽

Basis Property ◽

Riesz Theorem ◽

Root Functions ◽

System Of Root Functions

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On the completeness and basis property for a system of root functions of strongly elliptic functional-differential operators

Russian Mathematical Surveys ◽

10.1070/rm1996v051n06abeh003016 ◽

1996 ◽

Vol 51 (6) ◽

pp. 1220-1222 ◽

Cited By ~ 2

Author(s):

V V Pod''yapol'skii ◽

Alexander L Skubachevskii

Keyword(s):

Differential Operators ◽

Basis Property ◽

Root Functions ◽

Functional Differential ◽

System Of Root Functions

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