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On a nonlinear second-order difference equation
(Springer Nature, 2022-06-28)We study a nonlinear second-order difference equation which considerably extends some equations in the literature. Our main result shows that the difference equation is solvable in closed form. Some applications of the ... -
Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons
(MDPI, 2022-05-18)Infinite cyclic groups created by various objects belong to the class to the class basic algebraic structures. In this paper, we construct the infinite cyclic group of differential neurons which are modifications of ... -
Solvability of a close to symmetric system of difference equations
(Department of Mathematics, Texas State University, 2016-06-27)The problem of solvability of a close to symmetric product-type system of di erence equations of second order is investigated. Some recent results in the literature are extended. -
Evaluation of Responses in MTL Model Excited from Multiple Stochastic Sources
(International Science and Engineering Society, o.s., 2016-01-15)The paper presents a technique for simulation of stochastic responses and their statistical characteristics in multiconductor transmission lines (MTL). The method follows a theory of stochastic differential equations (SDE) ... -
Note on difference equations with the right-hand side function nonincreasing in each variable
(Springer Nature, 2022-02-23)We present an example of a difference equation of arbitrary order, possessing the right-hand side function that is homogeneous to a certain degree and nonincreasing in each variable, which has a unique positive equilibrium, ... -
Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations
(De Gruyter, 2022-02-14)In the paper, nonlinear systems of mixed-type functional differential equations are analyzed and the existence of semi-global and global solutions is proved. In proofs, the monotone iterative technique and Schauder-Tychonov ... -
From Automata to Multiautomata via Theory of Hypercompositional Structures
(MDPI, 2021-12-21)In this paper, we study two important problems related to quasi-multiautomata: the complicated nature of verification of the GMAC condition for systems of quasi-multiautomata, and the fact that the nature of quasi-multiautomata ... -
Characterization of uninorms on bounded lattices and pre-order they induce
(Atlantis Press, 2021-01-25)The authors introduced a pre-order induced by uninorms on bounded lattices. This contribution is devoted to a classification of families uninorms on bounded lattices of types of pre-orders (and orders) they induce. -
Note on theoretical and practical solvability of a class of discrete equations generalizing the hyperbolic-cotangent class
(Springer Nature, 2021-11-17)There has been some recent interest in investigating the hyperbolic-cotangent types of difference equations and systems of difference equations. Among other things their solvability has been studied. We show that there is ... -
On certain proximities and preorderings on the transposition hypergroups of linear first-order partial differential operators.
(Ovidius University of Constana, 2014-07-01)The contribution aims to create hypergroups of linear first-order partial differential operators with proximities, one of which creates a tolerance semigroup on the power set of the mentioned differential operators. ... -
Application of Stochastic Differential-Algebraic Equations in Hybrid MTL Systems Analysis
(Kaunas University of Technology, 2014-05-01)The paper deals with the application of stochastic differential-algebraic equations (SDAE) in the field of the time-domain simulation of hybrid (lumped/distributed) systems with randomly varying parameters. A core of the ... -
Conditional oscillation of half-linear Euler-type dynamic equations on time scales
(University of Szeged, 2015-02-18)We investigate second-order half-linear Euler-type dynamic equations on time scales with positive periodic coefficients. We show that these equations are conditionally oscillatory, i.e., there exists a sharp borderline (a ... -
Atmospheric station Křešín u Pacova, Czech Republic – a Central European research infrastructure for studying greenhouse gases, aerosols and air quality
(Copernicus Publications, 2015-05-06)Long-lasting research infrastructures covering the research areas of atmospheric chemistry, meteorology and climatology are of highest importance. The Atmospheric station Křešín u Pacova, central Czech Republic, is focused ... -
Note on constructing a family of solvable sine-type difference equations
(Springer, 2021-04-06)We obtain a family of first order sine-type difference equations solvable in closed form in a constructive way, and we present a general solution to each of the equations. -
n-ary hyperstructures constructed from binary quasi-ordered semigroups
(Ovidius University, 2014-05-10)Based on works by Davvaz, Vougiouklis and Leoreanu-Fotea in the field of n-ary hyperstructures and binary relations we present a construction of n-ary hyperstructures from binary quasi-ordered semigroups. We not only ... -
Persistence of periodic orbits in periodically forced impact systems
(De Gruyter Open, 2014-02-01)This paper is devoted to the study of persistence of forced periodic solutions for impact systems from single periodic solutions of unperturbed impact equations. An example of planar discontinuous ordinary differential ... -
On a class of difference equations with interlacing indices
(Springer, 2021-06-16)Some results on the long-term behavior of solutions to a class of difference equations,which includes numerous nonlinear difference equations of various orders thatattracted some attention in the last 15 years, are presented. ... -
Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators
(MDPI, 2021-02-05)The main objective of our paper is to focus on the study of sequences (finite or countable) of groups and hypergroups of linear differential operators of decreasing orders. By using a suitable ordering or preordering of ... -
Note on some representations of general solutions to homogeneous linear difference equations
(Springer Nature, 2020-09-10)It is known that every solution to the second-order difference equation x(n) = x(n-1) + x(n-2) = 0, n >= 2, can be written in the following form x(n) = x(0)f(n-1) + x(1)f(n), where fn is the Fibonacci sequence. Here we ... -
Solvability of a class of hyperbolic-cosine-type difference equations
(Springer Nature, 2020-10-07)We describe a method for constructing one of the basic classes of solvable hyperbolic-cosine-type difference equations, generalizing a known difference equation by Laplace in a natural way.
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