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4 papers · 1 filter
Optimal quadrature formulas for the Cauchy type singular integral in the Sobolev space
Dilshod Akhmedov
In the present paper in S.L.Sobolev space the optimal quadrature formula is constructed for approximate calculation of Cauchy type singular integral.
Weakly periodic Gibbs measures for two and three state HC models on a Cayley tree
R. M. Khakimov, G. T. Madgoziyev
In this paper we study two and three state HC-model on a Cayley tree. Under some conditions on parameters of the HC-model, in the case of normal divisor of the index four, we prove…
Energy conditions of non-singular black hole spacetimes in conformal gravity
Bobir Toshmatov, Cosimo Bambi, Bobomurat Ahmedov +2
Conformal gravity can elegantly solve the problem of spacetime singularities present in Einstein's gravity. For every physical spacetime, there is an infinite family of conformally…
Dynamics of Dirac solitons in networks
K. K. Sabirov, D. B. Babajanov, D. U. Matrasulov +1
We study dynamics of Dirac solitons in prototypical networks modeling them by the nonlinear Dirac equation on metric graphs. Soliton solutions of the nonlinear Dirac equation on si…