Eurasian Journal of Mathematical Theory and Computer Sciences 6-jild 4-son (2026) · 5–9-betlar

LOCAL PATH-PRESERVING AUTOMORPHISMS IN THE ALGEBRA OF ASYMPTOTICALLY DIFFERENTIABLE FUNCTIONS

Karimov, Hakimbek, Ollanazarova, Zuhra

DOI: 10.5281/zenodo.19450230 · Manbada o'qish → · PDF (manba serverida)

Annotatsiya

This article investigates the structure of asymptotic differential algebras. The main attention is paid to the differential operator of local automorphisms preserving tracks and the property of commutativity. The study showed that if global automorphisms are commutative with the differential operator, then local automorphisms also retain this property. The problem of preserving the differential of complex functions is also considered.

Asymptotic differential algebra, local automorphism, differential operator, idempotent, track maintenance.Asimptotik differensial algebra, lokal avtomorfizm, differensial operator, idempotent, yo’laklarni saqlash.

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