Spectral asymptotics of self-adjoint fourth order boundary value problems with eigenvalue parameter dependent boundary conditions
The John Knopfmacher Centre for Applicable Analysis and Number Theory, School of Mathematics, University of the Witwatersrand, Johannesburg, South Africa
Boundary Value Problems 2012, 2012:106 doi:10.1186/1687-2770-2012-106Published: 4 October 2012
A regular fourth order differential equation with λ-dependent boundary conditions is considered. For four distinct cases with exactly one λ-independent boundary condition, the asymptotic eigenvalue distribution is presented.
MSC: 34L20, 34B07, 34B08, 34B09.