English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We use the Fr\"olicher-Nijenhuis formalism to reformulate the inverse problemof the calculus of variations for a system of differential equations of order2k in terms of a semi-basic 1-form of order k. Within this general context, weuse the homogeneity proposed by Crampin and Saunders in [14] to formulate anddiscuss the projective metrizability problem for higher order differentialequation fields. We provide necessary and sufficient conditions for higherorder projectivpre-e metrizability in terms of homogeneous semi-basic 1-forms.Such a semi-basic 1-form is the Poincar\'e-Cartan 1-form of a higher orderFinsler function, while the potential of such semi-basic 1-form is a higherorder Finsler function.

A setting for higher order differential equations fields and higher order Lagrange and Finsler spaces