Search Results - "Pukach, Petro"
-
1
Symplectic Geometry Aspects of the Parametrically-Dependent Kardar-Parisi-Zhang Equation of Spin Glasses Theory, Its Integrability and Related Thermodynamic Stability
Published in Entropy (Basel, Switzerland) (07-02-2023)“…A thermodynamically unstable spin glass growth model described by means of the parametrically-dependent Kardar-Parisi-Zhang equation is analyzed within the…”
Get full text
Journal Article -
2
Metal-Filled Polyvinylpyrrolidone Copolymers: Promising Platforms for Creating Sensors
Published in Polymers (10-05-2023)“…This paper presents research results on the properties of composite materials based on cross-linked grafted copolymers of 2-hydroxyethylmethacrylate (HEMA)…”
Get full text
Journal Article -
3
Operator-valued Camassa–Holm systems and their integrability
Published in Letters in mathematical physics (01-08-2022)“…We study a Sturm–Liouville-type operator with operator-valued coefficients and its iso-spectral deformations, related to a new two-component Camassa–Holm-type…”
Get full text
Journal Article -
4
Analysis of Varying Temperature Regimes in a Conductive Strip during Induction Heating under a Quasi-Steady Electromagnetic Field
Published in Energies (Basel) (01-01-2024)“…Transition processes in a steel conductive strip are analyzed during its induction heating under a quasi-steady electromagnetic field. In particular, the…”
Get full text
Journal Article -
5
Modeling of the Temperature Regimes in a Layered Bimetallic Plate under Short-Term Induction Heating
Published in Energies (Basel) (01-07-2023)“…A mathematical model for determining the temperature field of a bimetallic plate with plane-parallel boundaries during short-term induction heating by a…”
Get full text
Journal Article -
6
-
7
Advanced Statistical Approach for the Mathematical Modeling of Transfer Processes in a Layer Based on Experimental Data at the Boundary
Published in Symmetry (Basel) (01-07-2024)“…In this work, a mathematical model of the transfer process in a layer under the condition of given experimental data on a part of the layer boundary is…”
Get full text
Journal Article -
8
Mathematical Modeling of Cell Growth via Inverse Problem and Computational Approach
Published in Computation (01-02-2024)“…A simple cell population growth model is proposed, where cells are assumed to have a physiological structure (e.g., a model describing cancer cell maturation,…”
Get full text
Journal Article -
9
Determination and Analysis of Joule’s Heat and Temperature in an Electrically Conductive Plate Element Subject to Short-Term Induction Heating by a Non-Stationary Electromagnetic Field
Published in Energies (Basel) (01-07-2022)“…We propose a mathematical model that allows us to determine the temperature field of a parallel-sided electrically conductive plate element subject to uniform…”
Get full text
Journal Article -
10
A Probable Approach to Reliability Assessment of Reinforced Plates
Published in Applied system innovation (01-08-2023)“…A scheme for solving the problem of determining the probability of failure and probabilistic (statistical) characteristics of the failure loading magnitude of…”
Get full text
Journal Article -
11
Asymptotic Study of Longitudinal Velocity Influence and Nonlinear Elastic Characteristics of the Oscillating Moving Beam
Published in Mathematics (Basel) (01-01-2023)“…Mathematical models of the nonlinear transversal oscillations for a beam moving along its axis have been studied. These models deal with the nonlinearity of…”
Get full text
Journal Article -
12
Identification and Correction of Grammatical Errors in Ukrainian Texts Based on Machine Learning Technology
Published in Mathematics (Basel) (01-02-2023)“…A machine learning model for correcting errors in Ukrainian texts has been developed. It was established that the neural network has the ability to correct…”
Get full text
Journal Article -
13
Mathematical Modelling of Diffusion Flows in Two-Phase Stratified Bodies with Randomly Disposed Layers of Stochastically Set Thickness
Published in Mathematics (Basel) (01-10-2022)“…The work is dedicated to mathematical modelling of random diffusion flows of admixture particles in a two-phase stratified strip with stochastic disposition of…”
Get full text
Journal Article -
14
Some Remarks on Smooth Mappings of Hilbert and Banach Spaces and Their Local Convexity Property
Published in Axioms (01-04-2024)“…We analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radii of the balls are small…”
Get full text
Journal Article -
15
On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model
Published in Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica (2017)“…The paper deals with investigating of the first mixed problem for a fifth-order nonlinear evolutional equation which generalizes well known equation of the…”
Get full text
Journal Article -
16
Supersymmetric Integrable Hamiltonian Systems, Conformal Lie Superalgebras K(1, N = 1, 2, 3), and Their Factorized Semi-Supersymmetric Generalizations
Published in Symmetry (Basel) (30-10-2024)“…We successively reanalyzed modern Lie-algebraic approaches lying in the background of effective constructions of integrable super-Hamiltonian systems on…”
Get full text
Journal Article -
17
Using LMS Moodle and Youtube Tools to Create Video Courses With Educational Expert System Features for Informatics e-learning
Published in 2023 IEEE 18th International Conference on Computer Science and Information Technologies (CSIT) (19-10-2023)“…Online video courses using the LMS Moodle tools to teach students of economics specialties who are studying informatics as a basic discipline in their first…”
Get full text
Conference Proceeding -
18
Boundary-value problems with integral conditions for a system of Lame equations in the space of almost periodic functions
Published in Electronic journal of differential equations (28-11-2016)“…We study a problem with integral boundary conditions in the time coordinate for a system of Lame equations of dynamic elasticity theory of an arbitrary…”
Get full text
Journal Article -
19
Nonlocal problem with moment conditions for hyperbolic equations
Published in Electronic journal of differential equations (20-10-2017)“…We investigate a problem with nonlocal integral moment conditions with respect to the time variable for partial differential equation with constant…”
Get full text
Journal Article -
20
Differential-symbol method of constructing the quasipolynomial solutions of a two-point problem for a partial differential equation
Published in Journal of mathematical sciences (New York, N.Y.) (04-05-2019)“…We studied the solvability of a problem with local inhomogeneous conditions two-point in time for a homogeneous differential equation which is second-order in…”
Get full text
Journal Article