# Basis properties of a fourth order differential operator with spectral parameter in the boundary condition

Open Mathematics (2010)

- Volume: 8, Issue: 2, page 378-388
- ISSN: 2391-5455

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topZiyatkhan Aliyev. "Basis properties of a fourth order differential operator with spectral parameter in the boundary condition." Open Mathematics 8.2 (2010): 378-388. <http://eudml.org/doc/269549>.

@article{ZiyatkhanAliyev2010,

abstract = {We consider a fourth order eigenvalue problem containing a spectral parameter both in the equation and in the boundary condition. The oscillation properties of eigenfunctions are studied and asymptotic formulae for eigenvalues and eigenfunctions are deduced. The basis properties in L p(0; l); p ∈ (1;∞); of the system of eigenfunctions are investigated.},

author = {Ziyatkhan Aliyev},

journal = {Open Mathematics},

keywords = {Fourth order eigenvalue problem; Spectral parameter in the boudary condition; Oscillation properties of eigenfunctions; Basis properties of the system of eigenfunctions; fourth order eigenvalue problem; spectral parameter in the boundary condition; oscillation properties of eigenfunctions; basis properties of the system of eigenfunctions},

language = {eng},

number = {2},

pages = {378-388},

title = {Basis properties of a fourth order differential operator with spectral parameter in the boundary condition},

url = {http://eudml.org/doc/269549},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Ziyatkhan Aliyev

TI - Basis properties of a fourth order differential operator with spectral parameter in the boundary condition

JO - Open Mathematics

PY - 2010

VL - 8

IS - 2

SP - 378

EP - 388

AB - We consider a fourth order eigenvalue problem containing a spectral parameter both in the equation and in the boundary condition. The oscillation properties of eigenfunctions are studied and asymptotic formulae for eigenvalues and eigenfunctions are deduced. The basis properties in L p(0; l); p ∈ (1;∞); of the system of eigenfunctions are investigated.

LA - eng

KW - Fourth order eigenvalue problem; Spectral parameter in the boudary condition; Oscillation properties of eigenfunctions; Basis properties of the system of eigenfunctions; fourth order eigenvalue problem; spectral parameter in the boundary condition; oscillation properties of eigenfunctions; basis properties of the system of eigenfunctions

UR - http://eudml.org/doc/269549

ER -

## References

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