In this paper, we present a conceptual-numerical model that can be deduced from a calibrated finite difference groundwater-flow model, which provides a parsimonious approach to simulate and analyze hydraulic heads and ...
Almenar, Pedro; Jódar Sánchez, Lucas Antonio(MDPI AG, 2021-11)
[EN] This paper provides a method to bound and calculate any eigenvalues and eigenfunctions of n-th order boundary value problems with sign-regular kernels subject to two-point boundary conditions. The method is based on ...
[EN] A new stochastic approach for the approximation of (nonlinear) Lipschitz operators in normed spaces by their eigenvectors is shown. Different ways of providing integral representations for these approximations are ...
[EN] When linearity can be assumed (linear response of heads to stresses), stream-aquifer flow exchange can be simulated as the drainage of a number of independent linear reservoirs. This conceptual model, which can be ...
[EN] A new stochastic approach is presented to understand general spectral type problems for (not necessarily linear) functions between topological spaces. In order to show its potential applications, we construct the ...
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 ...
Arnau-Notari, Andres Roger; Calabuig, J. M.; Erdogan, Ezgi; Sánchez Pérez, Enrique Alfonso(Springer-Verlag, 2023-04)
[EN] We present a new class of Lipschitz operators on Euclidean lattices that we call lattice Lipschitz maps, and we prove that the associated McShane and Whitney formulas provide the same extension result that holds for ...
Tri, Vo Viet(Universitat Politècnica de València, 2022-04-01)
[EN] In this paper, we present some results on fixed point index calculations for multivalued mappings and apply them to prove the existence of solutions to multivalued equations in ordered space, under flexible conditions ...
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 ...