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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The paper is devoted to complete proofs of theorems on consistency on cubiclattices for $3 \times 3$ determinants. The discrete nonlinear equations on$\mathbb{Z}^2$ defined by the condition that the determinants of all $3 \times3$ matrices of values of the scalar field at the points of the lattice$\mathbb{Z}^2$ that form elementary $3 \times 3$ squares vanish are considered;some explicit concrete conditions of general position on initial data areformulated; and for arbitrary initial data satisfying these concrete conditionsof general position, theorems on consistency on cubic lattices (a consistency"around a cube") for the considered discrete nonlinear equations on$\mathbb{Z}^2$ defined by $3 \times 3$ determinants are proved.

On Initial Data in the Problem of Consistency on Cubic Lattices for $3 \times 3$ Determinants