160 citations · 237 across the 8 of their papers we have counts for
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math.NA1999★ 14 cited
Idempotent mathematics and interval analysis
Grigori Litvinov, Viktor Maslov, Andrei Sobolevskii
A brief introduction into Idempotent Mathematics and an idempotent version of Interval Analysis are presented. Some applications are discussed.
chao-dyn1999
Aubry-Mather theory and idempotent eigenfunctions of the Bellman operator
Andrei Sobolevskii
We establish a connection between the Aubry-Mather theory of invariant sets of a 1D dynamical system described by a Lagrangian with potential periodic in space and time, on the one…
chao-dyn1999★ 1 cited
On periodic solutions of a Hamilton-Jacobi equation with periodic forcing
Andrei Sobolevskii
We prove that a Hamilton-Jacobi equation in 1D with periodic forcing has a set of generalized solutions such that each solution is a sum of linear and continuous periodic functions…