IMPROVING THE EFFICIENCY OF THE PROCEDURE OF LYAPUNOV SPLINE-FUNCTIONS CONSTRUCTION FOR NONLINEAR NONSTATIONARY SYSTEMS by V. P. Berdnikov

Get full text

Verification of Programs with Mutual Recursion in the Pifagor Language by Mariya S. Ushakov, Alexander I. Legalov

“…It is proved that in the Pifagor language such transformations of functions as code merging and universal recursive function construction do not change the correctness of the initial program. …”
Get full text

Scene Matching Method for Children’s Psychological Distress Based on Deep Learning Algorithm by Junli Su

“…Based on the summary and analysis of previous research works, this paper expounded the research status and significance of the scene matching method for children’s psychological distress, elaborated the development background, current status, and future challenges of deep learning algorithm, introduced the methods and principles of depth spatiotemporal feature extraction algorithm and dynamic scene understanding algorithm, constructed a scene matching model for children’s psychological distress based on deep learning algorithm, analyzed the scene feature extraction and matching function construction of children’s psychological distress, proposed a scene matching method for children’s psychological distress based on deep learning algorithm, performed scene feature matching and information processing of children’s psychological distress, and finally conduced a simulation experiment and analyzed its results. …”
Get full text

ANALYTICAL SOLUTIONS OF HYPERBOLIC MODELS OF NON-STATIONARY HEAT CONDUCTION by E. M. Kartashov

“…The equivalence of new functional constructions and known analytical solutions of this class of problems is shown. …”
Get full text

Stability of the Positive Point of Equilibrium of Nicholson's Blowflies Equation with Stochastic Perturbations: Numerical Analysis by Nataliya Bradul, Leonid Shaikhet

“…Shaikhet, general method of Lyapunov functionals construction, necessary and sufficient condition of stability in the mean square sense in the continuous case and necessary and sufficient conditions for the discrete case are deduced. …”
Get full text

New energy effect in non-cylindrical domains with a thermally insulated moving boundary by E. M. Kartashov

“…A new mathematical apparatus for the equivalence of functional constructions for the originals of the obtained operational solutions, which considers the computational difficulties in finding analytical solutions to boundary value problems for equations of hyperbolic type in the domain with a moving boundary, is developed.Results. …”
Get full text