J. L. Romero

activity

20122023

most citedNonlocal Symmetries, Telescopic Vector Fields and

λ

-Symmetries of Ordinary Differential Equations

20 citations · 34 across the 3 of their papers we have counts for

collaborators

4 papers

math.CA2023★ 2 cited

$C^{\infty}$ -structures in the integration of involutive distributions

A. J. Pan-Collantes, C. Muriel, A. Ruiz +1

For a system of ordinary differential equations (ODEs) or, more generally, an involutive distribution of vector fields, the problem of its integration is considered. Among the many…

nlin.SI2022★ 12 cited

$C^{\infty}$ -symmetries of distributions and integrability

A. J. Pan-Collantes, A. Ruiz, C. Muriel +1

An extension of the notion of solvable structure for involutive distributions of vector fields is introduced. The new structures are based on a generalization of the concept of sym…

math.CA2016

$λ -$ Symmetries and integrability by quadratures

C. Muriel, J. L. Romero, A. Ruiz

It is investigated how two (standard or generalized) $λ -$ symmetries of a given second-order ordinary differential equation can be used to solve the equation by quadratures. The met…

math.CA2012★ 20 cited

Nonlocal Symmetries, Telescopic Vector Fields and $λ$ -Symmetries of Ordinary Differential Equations

Concepción Muriel, Juan Luis Romero

This paper studies relationships between the order reductions of ordinary differential equations derived by the existence of $λ$ -symmetries, telescopic vector fields and some nonlo…

C∞-structures in the integration of involutive distributions

C∞-symmetries of distributions and integrability

λ−Symmetries and integrability by quadratures

Nonlocal Symmetries, Telescopic Vector Fields and λ-Symmetries of Ordinary Differential Equations

$C^{\infty}$ -structures in the integration of involutive distributions

$C^{\infty}$ -symmetries of distributions and integrability

$λ -$ Symmetries and integrability by quadratures

Nonlocal Symmetries, Telescopic Vector Fields and $λ$ -Symmetries of Ordinary Differential Equations