Asymptotics of the eigenvalues of self-adjoint fourth order differential operators with separated eigenvalue parameter dependent boundary conditions

DOI10.1216/RMJ-2017-47-6-2013zbMath1381.34042MaRDI QIDQ1683400

Manfred Möller, Bertin Zinsou

Publication date: 8 December 2017

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1511254962

zbMATH Keywords

eigenvalue distributionfourth order differential operatorseigenvalues asymptotics

Mathematics Subject Classification ID

Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Parameter dependent boundary value problems for ordinary differential equations (34B08) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (6)

Stability of a flexible missile and asymptotics of the eigenvalues of fourth order boundary value problems ⋮ The spectral properties of a two-term fourth-order operator with a spectral parameter in the boundary condition ⋮ Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter ⋮ Asymptotics of the eigenvalues of a fourth order differential operator with eigenvalue dependent and periodic boundary conditions ⋮ Asymptotics of the eigenvalues of self-adjoint fourth order boundary value problems ⋮ Self-adjoint fourth order differential operators with eigenvalue parameter dependent and periodic boundary conditions

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