Almenar, P.; Jódar Sánchez, Lucas Antonio(Elsevier, 2011-04)
This paper presents a Lyapunov-type inequality for the second order nonlinear equation (r(x)y')' + p(x)f(y(x)) = 0, with r(x), p(x) > 0 and f(y) odd and positive for y > O. It also compares it with similar results. (C) ...
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, 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, ...