Spectral and oscillatory properties of a linear pencil of fourth-order differential operators

DOI10.1134/S0001434613070055zbMath1283.34075arXiv1112.2351OpenAlexW2020239241MaRDI QIDQ382353

Mohammad Hasan, H. S. Yoon

Publication date: 18 November 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2351

zbMATH Keywords

linear differential operatornumber of zeros of eigenfunctionspencil of operators

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (11)

Sturm separation theorems for a fourth-order equation on a graph ⋮ Difference equations related to Jacobi-type pencils ⋮ A model of deformations of a beam with nonlinear boundary conditions ⋮ The inverse spectral problem for Jacobi-type pencils ⋮ Spectral properties of a fourth‐order differential operator on a network ⋮ On the oscillation property of Green's function of a fourth-order discontinuous boundary-value problem ⋮ Optimal control of undamped Sobolev-type retarded systems ⋮ On oscillation properties of self-adjoint boundary value problems of fourth order ⋮ Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition ⋮ Oscillation properties of a multipoint fourth-order boundary-value problem with spectral parameter in the boundary condition ⋮ Unnamed Item

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