## Rocky Mountain Journal of Mathematics

### Eigenvalue problem associated with the fourth order differential-operator equation

#### Abstract

In this paper, we investigate the boundary value problem for fourth order differential operator equations with unbounded operator coefficients and one $\lambda$-dependent boundary condition. We obtain an asymptotic formula for eigenvalues and a trace formula for the corresponding self-adjoint operator.

#### Article information

Source
Rocky Mountain J. Math., Volume 48, Number 6 (2018), 1763-1779.

Dates
First available in Project Euclid: 24 November 2018

https://projecteuclid.org/euclid.rmjm/1543028436

Digital Object Identifier
doi:10.1216/RMJ-2018-48-6-1763

Zentralblatt MATH identifier
06987223

#### Citation

Aslanova, Nigar M.; Bayramoglu, Mamed; Aslanov, Khalig M. Eigenvalue problem associated with the fourth order differential-operator equation. Rocky Mountain J. Math. 48 (2018), no. 6, 1763--1779. doi:10.1216/RMJ-2018-48-6-1763. https://projecteuclid.org/euclid.rmjm/1543028436

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