2 citations · 3 across the 4 of their papers we have counts for
5 papers
Limit-Cycle Replication via Chebyshev Pullbacks and a Quadratic Ceiling for Separable Schemes
Olimjon Eshkobilov, Shirali Kadyrov, Khudoyor Mamayusupov
Let \(H(n)\) denote the Hilbert number, i.e.\ the maximal number of limit cycles of planar polynomial vector fields of degree \(\le n\). A classical lower-bound mechanism for \(H(n…
On the restricted conformal group of the (1+n)-Einstein static universe
Olimjon Eshkobilov, Emilio Musso, Lorenzo Nicolodi
Explicit models for the restricted conformal group of the Einstein static universe of dimension greater than two and for its universal covering group are constructed. Based on thes…
Critical Robertson-Walker universes
Olimjon Eshkobilov, Emilio Musso, Lorenzo Nicolodi
The integral of the energy density function of a closed Robertson-Walker (RW) spacetime with source a perfect fluid and cosmological constant gives rise to an act…
Contact manifolds, Lagrangian Grassmannians and PDEs
Olimjon Eshkobilov, Gianni Manno, Giovanni Moreno +1
In this paper we review a geometric approach to PDEs. We mainly focus on scalar PDEs in n independent variables and one dependent variable of order one and two, by insisting on the…
A conformally invariant variational problem for time-like curves
Olimjon Eshkobilov, Emilio Musso
We study the conformally invariant variational problem for time-like curves in the -dimensional Einstein universe defined by the conformal strain functional. We prove that the s…