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To the first theorem of welfare economyThe stengthening of the first theorem of welfare economy for Arrow-Debreu model with homogeneous
Regular zeros of quadratic maps and their application. Their applications are indicated to certain problems of analysis related to the inverse function theorem in a
Analog of the Kutta-Joukowskii theorem for the Helmholtz-Kirchhoff flow past a profileA study was conducted to demonstrate analog of the Kutta-Joukowskii theorem for the Helmholtz
A central limit theorem for random fieldsA central limit theorem is proved for α-mixing random fields. The sets of locations where
On boundary uniqueness theorems for a linear elliptic equation with constant coefficientsFor the solutions of an elliptic equation with constant coefficients, we prove uniqueness theorems
Harary's Theorem on Signed Graphs and Reversibility of Markov ChainsA counterpart of the well-known Harary theorem on signed graphs is proved for digraphs over groups
The Perron-Frobenius theorem - A proof with the use of Markov chainsThe Perron-Frobenius theorem for an irreducible nonnegative matrix is proved using the matrix graph
Kantorovich’s Fixed Point Theorem in Metric Spaces and Coincidence PointsExistence and uniqueness theorems are obtained for a fixed point of a mapping from a complete
Interpolation Theorems for Nonlinear Operators in General Morrey-Type Spaces and Their ApplicationsWe prove new interpolation theorems for a sufficiently wide class of nonlinear operators in Morrey
Generalization of the Bogolyubov-Zubarev theorem for dynamic pressure to the case of compressibility of the Bogolyubov-Zubarev theorem connecting the pressure of a dynamic object to its energy within the framework
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