Results 1 to 10 of about 2,011,992 (237)
The Class Equation and the Commutativity Degree for Complete Hypergroups
Mathematics, 2020 The aim of this paper is to extend, from group theory to hypergroup theory, the class equation and the concept of commutativity degree. Both of them are studied in depth for complete hypergroups because we want to stress the similarities and the ...
Andromeda Cristina Sonea, Irina Cristea
doaj +3 more sources
A class of exactly solvable models for the Schrödinger equation
Open Physics, 2013 We present a class of confining potentials which allow one to reduce the one-dimensional Schroodinger equation to a named equation of mathematical physics, namely either Bessel's or Whittaker's differential equation.
Downing Charles
doaj +2 more sources
About one problem of optimal control synthesis [PDF]
E-Journal of Analysis and Applied Mathematics, 2023 This paper tackles the problem of characterizing the natural class, or Riccati rule space, of solutions to a specific e quation. Despite the significant theoretical and practical implications, there is limited research exploring the application of ...
Muhametberdy Rakhimov
doaj +1 more source
From Heun Class Equations to Painlevé Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 In the first part of our paper we discuss linear 2nd order differential equations in the complex domain, especially Heun class equations, that is, the Heun equation and its confluent cases. The second part of our paper is devoted to Painlevé I-VI equations. Our philosophy is to treat these families of equations in a unified way.
Dereziński, Jan +2 more
openaire +2 more sources
A class of solutions of the equation d(n²) = d(φ(n)) [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 For any positive integer n let d(n) and φ(n) be the number of divisors of n and the Euler's phi function of n, respectively. In this paper we present some notes on the equation d(n²) = d(φ(n)).
Zahra Amroune +2 more
doaj +1 more source
New Aspects in the Theory of Complete Hypergroups
Computer Sciences & Mathematics Forum, 2023 The aim of this paper is to review the most important properties and applications of the complete hypergroups. We will focus on the reversibility, regularity and reducibility properties, on the class equation and the commutativity degree of the complete ...
Irina Cristea
doaj +1 more source
Drake-like Calculations for the Frequency of Life in the Universe
Philosophies, 2021 This article is intended to provide a review of some modifications to the Drake equation, a 1961 concept presented by Frank Drake to determine the number of extra-terrestrial civilizations able to communicate. A reduced version of the Drake equation will
Karl-Florian Platt
doaj +1 more source
The Burgers equation driven by a stochastic measure
Modern Stochastics: Theory and Applications, 2023 The class of one-dimensional equations driven by a stochastic measure μ is studied. For μ only σ-additivity in probability is assumed. This class of equations includes the Burgers equation and the heat equation.
Vadym Radchenko
doaj +1 more source
Journal of Ocean Engineering and Science, 2022 This paper studied new class of integral equation called the Korteweg-de Vries-Kadomtsev-Petviashvili (KdV-KP) equation. This equation consist of the well-known fifth-order KdV equation in the context of the Kadomtsev-Petviashvili equation.
Lanre Akinyemi +3 more
doaj +1 more source
Fuzzy equational classes [PDF]
2012 IEEE International Conference on Fuzzy Systems, 2012 The paper deals with fuzzy equational classes. These are defined as classes of particular fuzzy algebras refereing to a fuzzy equality (which replaces the crisp one), closed with respect to fuzzy identities. In this fuzzy framework we introduce basic notions of universal algebra, (fuzzy) subalgebras, homomorphisms and direct products.
Tepavčević, Andreja +3 more
openaire +1 more source