In this paper we prove that one can reduce the solution of first-order polynomial matrix ordinary differential equations to the integration of similar scalar equations, provided that equation parameters are triangular. We ...
We investigate the dynamics of the renormalization group transformation in the fermionic hierarchical model, given by the Lagrangian. We construct the invariant neighborhood of the Gaussian fixed point in the upper half-plane ...
A semiprime is a natural number which is the product of two (possibly equal) prime numbers. Let y be a natural number and g(y) be the probability for a number y to be semiprime. In this paper we derive an asymptotic formula ...
This paper considers the well-known Turing machine model, the nondeterministic real-time Turing machine. The author proves the existence of nonregular complexity classes of languages that can be recognized by nondeterministic ...
In this paper we suggest and substantiate special direct methods for finding approximate solutions to integral equations of the third kind in the space of distributions. We consider a general case of location of zeroes of ...
We solve a general optimization problem, where only approximation sequences are known instead of exact values of the goal function and feasible set. Under these conditions we suggest to utilize a penalty function method. ...