On the Basic Property in $$L_p $$ of a System of Eigenfunctions of a Problem with the Square of the Spectral Parameter in the Boundary Condition

Differential Equations ◽

10.1134/s0012266121080140 ◽

2021 ◽

Vol 57 (8) ◽

pp. 1115-1118

Author(s):

N. Yu. Kapustin

Keyword(s):

Boundary Condition ◽

Spectral Parameter ◽

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Some spectral properties of a boundary value problem with a spectral parameter in the boundary condition

Doklady Mathematics ◽

10.1134/s106456240606024x ◽

2006 ◽

Vol 74 (3) ◽

pp. 883-886 ◽

Author(s):

N. B. Kerimov ◽

Z. S. Aliev

Keyword(s):

Boundary Condition ◽

Boundary Value Problem ◽

Spectral Parameter ◽

Spectral Properties ◽

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On the basis property of the system of eigenfunctions of a problem with squared spectral parameter in a boundary condition

Differential Equations ◽

10.1134/s0012266115100031 ◽

2015 ◽

Vol 51 (10) ◽

pp. 1274-1279 ◽

Author(s):

N. Yu. Kapustin

Keyword(s):

Boundary Condition ◽

Spectral Parameter ◽

Basis Property ◽

Squared Spectral Parameter

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Reconstruction of the Sturm–Liouville Operator with Nonseparated Boundary Conditions and a Spectral Parameter in the Boundary Condition

Ukrainian Mathematical Journal ◽

10.1007/s11253-018-1440-0 ◽

2018 ◽

Vol 69 (9) ◽

pp. 1416-1423 ◽

Author(s):

Ch. G. Ibadzadeh ◽

I. M. Nabiev

Keyword(s):

Boundary Condition ◽

Boundary Conditions ◽

Spectral Parameter ◽

Liouville Operator ◽

Nonseparated Boundary Conditions ◽

Sturm Liouville

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Asymptotic Behavior of Eigenvalues of a Boundary Value Problem for a Second-Order Elliptic Differential–Operator Equation with Spectral Parameter in the Equation and a Boundary Condition

Differential Equations ◽

10.1134/s0012266120020056 ◽

2020 ◽

Vol 56 (2) ◽

pp. 190-198

Author(s):

B. A. Aliev ◽

V. Z. Kerimov

Keyword(s):

Boundary Condition ◽

Asymptotic Behavior ◽

Differential Operator ◽

Boundary Value Problem ◽

Operator Equation ◽

Spectral Parameter ◽

Boundary Value ◽

Second Order ◽

Elliptic Differential Operator ◽

Differential Operator Equation

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On the uniform convergence of the Fourier series for a spectral problem with squared spectral parameter in a boundary condition

Differential Equations ◽

10.1134/s0012266110100150 ◽

2010 ◽

Vol 46 (10) ◽

pp. 1507-1510 ◽

Author(s):

N. Yu. Kapustin

Keyword(s):

Boundary Condition ◽

Fourier Series ◽

Uniform Convergence ◽

Spectral Problem ◽

Spectral Parameter ◽

Squared Spectral Parameter

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On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition

Differential Equations ◽

10.1134/s0012266107070038 ◽

2007 ◽

Vol 43 (7) ◽

pp. 905-915 ◽

Author(s):

N. B. Kerimov ◽

Z. S. Aliev

Keyword(s):

Boundary Condition ◽

Spectral Problem ◽

Spectral Parameter ◽

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Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.07.039 ◽

2011 ◽

Vol 54 (11-12) ◽

pp. 3090-3097 ◽

Author(s):

Erdoğan Şen ◽

Azad Bayramov

Keyword(s):

Boundary Condition ◽

Boundary Value Problem ◽

Spectral Parameter ◽

Boundary Value ◽

Retarded Argument ◽

Eigenvalues And Eigenfunctions ◽

Discontinuous Boundary

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Spectral properties of the Sturm–Liouville operator with δ-potential and with spectral parameter in the boundary condition

Mathematical Notes ◽

10.1134/s0001434617050169 ◽

2017 ◽

Vol 101 (5-6) ◽

pp. 913-918

Author(s):

Z. S. Aliev ◽

A. G. Geidarov

Keyword(s):

Boundary Condition ◽

Spectral Parameter ◽

Liouville Operator ◽

Spectral Properties ◽

Sturm Liouville

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Higher order regularized trace formula for the regular Sturm–Liouville equation contained spectral parameter in the boundary condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.08.066 ◽

2007 ◽

Vol 186 (2) ◽

pp. 1591-1599 ◽

Author(s):

Mehmet Bayramoğlu ◽

Hülya Şahintürk

Keyword(s):

Boundary Condition ◽

Trace Formula ◽

Spectral Parameter ◽

Liouville Equation ◽

Higher Order ◽

Regularized Trace ◽

Sturm Liouville

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Uniqueness of the Solution to the Inverse Problem of Scattering Theory for the Sturm--Liouville Operator with a Spectral Parameter in the Boundary Condition

Mathematical Notes ◽

10.1023/a:1025035620342 ◽

2003 ◽

Vol 74 (1/2) ◽

pp. 136-140 ◽

Author(s):

Kh. R. Mamedov

Keyword(s):

Boundary Condition ◽

Inverse Problem ◽

Spectral Parameter ◽

Liouville Operator ◽

Scattering Theory ◽

Uniqueness Of The Solution ◽

Sturm Liouville

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