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- Title
The principal eigenvalue of some nth order linear boundary value problems.
- Authors
Almenar, Pedro; Jódar, Lucas
- Abstract
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.
- Subjects
BOUNDARY value problems; LINEAR orderings; EIGENVALUES; OPERATOR functions; GREEN'S functions
- Publication
Boundary Value Problems, 2021, Vol 2021, Issue 1, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-021-01561-2