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Listar por autor "Almenar Belenguer, Pedro"

Mostrando ítems 1-13 de 13

Accurate estimations of Any Eigenpairs of N-th Order Linear Boundary Value Problems

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 ...
An upper bound for the distance between a zero and a critical point of a solution of a second order linear differential equation

Almenar, Pedro; Jódar Sánchez, Lucas Antonio (Elsevier, 2012-01)

This paper presents an upper bound for the distance between a zero and a critical point of a solution of the second order linear differential equation (p(x)y¿)¿+q(x)y(x)=0(p(x)y¿)¿+q(x)y(x)=0, with p(x),q(x)>0p(x),q(x)>0. ...
Asymptotic behaviour of the solutions of second order functional differential equations

Almenar, Pedro; Jódar Sánchez, Lucas Antonio (Elsevier, 2011-07)

This paper presents integral criteria to determine the asymptotic behaviour of the solutions of second order nonlinear differential equations of the type y¿(x)+q(x)f(y(x))=0, with q(x)>0 and f(y) odd and positive for y>0, ...
Construcción de soluciones precisas de problemas mixtos para ecuaciones en derivadas parciales con coeficientes variables separables

Almenar Belenguer, Pedro (Universitat Politècnica de València, 2009-09-02)

En esta memoria se construyen soluciones analítico-numéricas con cotas de error a priori de problemas mixtos relacionados con ecuaciones en derivadas parciales con coeficientes separables y condiciones de contorno de tipo ...
Convergent Disfocality and Nondisfocality Criteria for Second-Order Linear Differential Equations

Almenar, Pedro; Jódar Sánchez, Lucas Antonio (Hindawi Publishing Corporation, 2013)

This paper presents a method to determine whether the second-order linear differential equation y(n) + q(x)y = 0 is either disfocal or nondisfocal in a fixed interval. The method is based on the recursive application of a ...
Estimation of the smallest eigenvalue of an nth-order linear boundary value problem

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 ...
Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems

Almenar, Pedro; Jódar Sánchez, Lucas Antonio (Hindawi Publishing Corporation, 2016)

[EN] This paper presents a modification of a recursive method described in a previous paper of the authors, which yields necessary and sufficient conditions for the existence of solutions of a class of 𝑛�th-order linear ...
New results on the sign of the Green function of a two-point n-th order linear boundary value problem

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, ...
Solvability of a class of nth-Order Lineal focal problems

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, ...
Solvability of Nth Order Linear Boundary Value Problems

Almenar, Pedro; Jódar Sánchez, Lucas Antonio (Hindawi Publishing Corporation, 2015)

This paper presents a method that provides necessary and sufficient conditions for the existence of solutions of nth order linear boundary value problems. The method is based on the recursive application of a linear integral ...
The distribution of zeroes and critical points of solutions of a second order half-linear differential equation

Almenar; Pedro; Jódar Sánchez, Lucas Antonio (Hindawi Publishing Corporation, 2013)

This paper reuses an idea first devised by Kwong to obtain upper bounds for the distance between a zero and an adjacent critical point of a solution of the second order half-linear differential equation. It also compares ...
The principal eigenvalue of some nth order linear boundary value problems

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 ...
The sign of the Green function of an n-th order linear boundary value problem

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 ...