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Axioms, Volume 13, Issue 1

January 2024 - 72 articles

Cover Story: Several ordinary differential equations that are cumbersome to solve and inspect from a classical analytical point of view exhibit some hidden geometrical structures that allow us to easily find an equivalent representation that is integrable by quadratures, or reducible to a canonical form that enables us to directly obtain first integrals. Such equations are determined by a non-invariant Lie group associated with the existence of nonlinear superposition principles. Complex Bernoulli equations constitute an interesting class among this class of equations, known as Lie–Hamilton systems. Beyond the classical equations, their deformations by means of quantum groups still preserve some geometrical properties that allow for their treatment by quadratures. View this paper
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Articles (72)

  • Article
  • Open Access
3 Citations
2,429 Views
22 Pages

19 January 2024

This paper focuses on the modeling of automatic pricing and replenishment strategies for perishable products with time-varying deterioration rates based on an improved SVR-LSTM-ARIMA hybrid model. This research aims to support supermarkets in plannin...

  • Article
  • Open Access
2 Citations
1,879 Views
16 Pages

19 January 2024

In the theory of gene networks, the mathematical apparatus that uses dynamical systems is fruitfully used. The same is true for the theory of neural networks. In both cases, the purpose of the simulation is to study the properties of phase space, as...

  • Article
  • Open Access
2,423 Views
17 Pages

19 January 2024

Differential cohomology is a topic that has been attracting considerable interest. Many interesting applications in mathematics and physics have been known, including the description of WZW terms, string structures, the study of conformal immersions,...

  • Article
  • Open Access
6 Citations
2,295 Views
19 Pages

19 January 2024

Differential evolution (DE) is one of the most promising black-box numerical optimization methods. However, DE algorithms suffer from the problem of control parameter settings. Various adaptation methods have been proposed, with success history-based...

  • Article
  • Open Access
1,457 Views
11 Pages

18 January 2024

Firstly, Hilbert-type integral inequalities with best constant factors are established for two non-homogeneous kernels. Then, by utilizing the relationship between the Hilbert-type inequality and the integral operator of same kernel, the parameter co...

  • Article
  • Open Access
2 Citations
1,680 Views
13 Pages

A Self Adaptive Three-Step Numerical Scheme for Variational Inequalities

  • Kubra Sanaullah,
  • Saleem Ullah and
  • Najla M. Aloraini

18 January 2024

In this paper, we introduce a new three-step iterative scheme for finding the common solutions of the variational inequality using the technique of updating the solution. We suggest, iterative algorithms involving three-steps for the predictor-correc...

  • Article
  • Open Access
7 Citations
3,168 Views
13 Pages

18 January 2024

Economic forecasting is crucial since it benefits many different parties, such as governments, businesses, investors, and the general public. This paper presents a novel methodology for forecasting business cycles using an autoregressive integrated m...

  • Article
  • Open Access
1,464 Views
11 Pages

16 January 2024

As an application of the Legendrian singularity theory, we classify the bifurcations of a holonomic first-order differential equation with a complete integral. The equations satisfy that the one-parameter integral diagrams are R+-simple and stable. U...

  • Article
  • Open Access
3 Citations
2,394 Views
37 Pages

Identification of the Yield Rate by a Hybrid Fuzzy Control PID-Based Four-Stage Model: A Case Study of Optical Filter Industry

  • You-Shyang Chen,
  • Ying-Hsun Hung,
  • Mike Yau-Jung Lee,
  • Chien-Jung Lai,
  • Jieh-Ren Chang and
  • Chih-Yao Chien

16 January 2024

With the vigorous development of emerging technology and the advent of the Internet generation, high-speed Internet and fast transmission 5G wireless networks contribute to interpersonal communication. Now, the Internet has become popular and widely...

  • Article
  • Open Access
3 Citations
2,641 Views
36 Pages

15 January 2024

In this paper, we introduce the “Walk on Equations” (WE) Monte Carlo algorithm, a novel approach for solving linear algebraic systems. This algorithm shares similarities with the recently developed WE MC method by Ivan Dimov, Sylvain Mair...

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Axioms - ISSN 2075-1680