New nonlocal constants and first integrals for nonlinear Jacobi-type equations

New nonlocal constants and first integrals for nonlinear Jacobi-type equations

We prove a set of general theorems that provide new nonlocal constants and first integrals for nonlinear Jacobi-type ordinary differential equations. Applications include equations of the Painleve-Gambier classification.

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Bibliographische Detailangaben
1. Verfasser: Scomparin, Mattia
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Classical Analysis and ODEs
Mathematics - Mathematical Physics
Physics - Mathematical Physics
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Beschreibung
Zusammenfassung:We prove a set of general theorems that provide new nonlocal constants and first integrals for nonlinear Jacobi-type ordinary differential equations. Applications include equations of the Painleve-Gambier classification.
DOI:10.48550/arxiv.2203.12219