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The principal eigenvalue of some nth order linear boundary value problems
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Journal Article
The principal eigenvalue of some nth order linear boundary value problems
2021
Overview
The purpose of this paper is to present a procedure for the estimation of the smallest eigenvalues and their associated eigenfunctions of nth order linear boundary value problems with homogeneous boundary conditions defined in terms of quasi-derivatives. The procedure is based on the iterative application of the equivalent integral operator to functions of a cone and the calculation of the Collatz–Wielandt numbers of such functions. Some results on the sign of the Green functions of the boundary value problems are also provided.
Publisher
Hindawi Limited
