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Shadows of parametrized axially symmetric black holes allowing for separation of variables to the separation of variables in the Hamilton-Jacobi and Klein-Gordon equations, and show that once the metric
Path integral approach to the kinematical Brownian motion due to a random canonical transformation Hamilton operator similar to that in Euclidean quantum theory is obtained. The conditional transition
An exactly solvable problem of wave fronts and applications to the asymptotic theory and to the asymptotic theory of partial differential equations. The Hamilton function we consider is . Such Hamiltonians
Collisions and stability of quantum wave packets, the quantum
Hamilton-Jacobi equation for action is rewritten in variables: probability density
Refined Equations of the Sandwich Shells Theory with Composite External Layers and a Transverse Soft Core at Average Bending, the two two-dimensional unknown functions are introduced that represent transverse shear stresses
Vibrational Analysis of Magneto-viscoelastic Bi-directional Functionally Graded Beams Subjected to Complex Environments Based on a Novel High-Order Shear Deformation TheoryPurpose: This research is focused on the dynamical examination of bi-directional functionally
“Mean Field Games” as Mathematical Models for Control and Optimization of Business Activity functional. For them, the discretization is applied to obtain systems of nonlinear algebraic equations which
Optimality conditions and the penalty function methods, he proves the Pontryagin Maximum Principle. Special attention is given
Relativistic kinetics of phonon gas in superfluids Hamilton function of a (quasi-)particle. A phonon contribution into superfluid dynamic parameters
Conditions for the absence of jumps of the solution to the adjoint system of the maximum principle for optimal control problems with state constraintsProperties of Lagrange multipliers from the Pontryagin maximum principle for problems with state
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