Almenar, Pedro; Jódar Sánchez, Lucas Antonio(John Wiley & Sons, 2021-04)
[EN] This paper describes a recursive procedure to estimate the smallest eigenvalue of an nth-order boundary value problem under a wide set of boundary conditions. The procedure yields lower and upper bounds for that ...
Almenar-Belenguer, Pedro; Jódar Sánchez, Lucas Antonio(Springer (Biomed Central Ltd.), 2022-07-26)
[EN] This paper provides conditions for determining the sign of all the partial derivatives of
the Green functions of n-th order boundary value problems subject to a wide set of
homogeneous two-point boundary conditions, ...
Almenar, Pedro; Jódar Sánchez, Lucas Antonio(Vilnius Gediminas Technical University, 2017)
[EN] This paper presents a recursive method which yields necessary and sufficient conditions for the existence of solutions of a class of n-th order linear focal boundary value problems in the interior of a given interval, ...
Almenar, Pedro; Jódar Sánchez, Lucas Antonio(Springer (Biomed Central Ltd.), 2021-10-14)
[EN] 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 ...
Almenar, Pedro; Jódar Sánchez, Lucas Antonio(MDPI AG, 2020-05)
[EN] This paper provides results on the sign of the Green function (and its partial derivatives) of ann-th order boundary value problem subject to a wide set of homogeneous two-point boundary conditions. The dependence of ...