Pregled bibliografske jedinice broj: 1124869
On equivalence of singularities of linear second order ordinary differential equations by point transformations
On equivalence of singularities of linear second order ordinary differential equations by point transformations // Annales de la Faculte des Sciences de Toulouse - Mathematiques (2021) (znanstveni, prihvaćen)
CROSBI ID: 1124869 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On equivalence of singularities of linear second
order ordinary differential equations by point
transformations
Autori
Klimes, Martin
Vrsta, podvrsta
Radovi u časopisima,
znanstveni
Izvornik
Annales de la Faculte des Sciences de Toulouse - Mathematiques (2021)
Status rada
Prihvaćen
Ključne riječi
Linear ordinary differential equations, local analytic classification, normal forms, regular singularity, irregular singularity, Stokes phenomenon, analytic Lie symmetries.
Sažetak
The article provides a local classification of singularities of meromorphic second order linear ordinary differential equations with respect to analytic/meromorphic linear point transformations, that is, transformations of both the unknown function and of the independent variable. In particular, it is shown that under a non-degeneracy condition two linear differential equations are analytically equivalent if and only if the associated companion systems are analytically equivalent as systems. Also the Lie algebras of analytic linear infinitesimal symmetries of the singularities are determined.
Izvorni jezik
Ostalo
Znanstvena područja
Matematika
