Displaying similar documents to “Inequalities among eigenvalues of second-order difference equations with general coupled boundary conditions.”

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

Ziyatkhan Aliyev (2010)

Open Mathematics

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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.