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Axioms, Volume 13, Issue 4

April 2024 - 71 articles

Cover Story: The standard technique used to convert a boundary value problem to a fixed point problem utilizes a Green’s function as a kernel of an integral operator with the limits of integration being the endpoints of the domain of the solution. The alternative inversion technique presented in this manuscript allows for iterations on intervals to converge to a solution in which m is the derivative of the solution at the left endpoint, which can be approximated using a bisection scheme. The iteration with bisection approach used in this manuscript is presented for use with right focal, second-order boundary value problems. How this approach can be modified for other types of boundary value problems is an unanswered question. View this paper
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Articles (71)

  • Article
  • Open Access
1 Citations
1,702 Views
17 Pages

The Existence of Li–Yorke Chaos in a Discrete-Time Glycolytic Oscillator Model

  • Mirela Garić-Demirović,
  • Mustafa R. S. Kulenović,
  • Mehmed Nurkanović and
  • Zehra Nurkanović

22 April 2024

This paper investigates an autonomous discrete-time glycolytic oscillator model with a unique positive equilibrium point which exhibits chaos in the sense of Li–Yorke in a certain region of the parameters. We use Marotto’s theorem to prov...

  • Article
  • Open Access
3 Citations
2,003 Views
14 Pages

22 April 2024

Sample selection is one of the most important factors in estimating the unknown parameters of distributions, as it saves time, saves effort, and gives the best results. One of the challenges is deciding on a suitable distribution estimate technique a...

  • Article
  • Open Access
4 Citations
1,661 Views
12 Pages

A Unified Representation of q- and h-Integrals and Consequences in Inequalities

  • Da Shi,
  • Ghulam Farid,
  • Bakri Adam Ibrahim Younis,
  • Hanaa Abu-Zinadah and
  • Matloob Anwar

22 April 2024

This paper aims to unify q-derivative/q-integrals and h-derivative/h-integrals into a single definition, called q−h-derivative/q−h-integral. These notions are further extended on the finite interval [a,b] in the form of left and right q&m...

  • Article
  • Open Access
1 Citations
1,426 Views
11 Pages

21 April 2024

The authors investigate Langevin boundary value problems containing a variable order Caputo fractional derivative. After presenting the background for the study, the authors provide the definitions, theorems, and lemmas that are required for comprehe...

  • Article
  • Open Access
2 Citations
1,948 Views
15 Pages

20 April 2024

To address public participation-oriented, large group decision-making problems with uncertain attribute weights, we propose a multi-attribute decision-making method considering public satisfaction. Firstly, a large group is organized to provide their...

  • Article
  • Open Access
2 Citations
1,599 Views
12 Pages

Monotonic Random Variables According to a Direction

  • José Juan Quesada-Molina and
  • Manuel Úbeda-Flores

20 April 2024

In this paper, we introduce the concept of monotonicity according to a direction for a set of random variables. This concept extends well-known multivariate dependence notions, such as corner set monotonicity, and can be used to detect dependence in...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,472 Views
26 Pages

19 April 2024

The paper reveals some remarkable form-invariance features of the ‘Jacobi-reference’ canonical Sturm–Liouville equation (CSLE) in the particular case of the density function with the simple pole at the origin. It is proven that the...

  • Article
  • Open Access
1,236 Views
12 Pages

19 April 2024

Consider a supercritical Galton–Watson process with immigration (Xn;n≥0). The Lotka–Nagaev estimator Xn+1Xn is a common estimator for the offspring mean. In this work, we used the Martingale method to establish several types of Cram&ea...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,225 Views
15 Pages

18 April 2024

We continue the study of Terracini loci formed by x points of a variety embedded in a projective space. Our main results are a refined study of Terracini loci arising from linear projections, the description of the maximal x with a non-empty Terracin...

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Axioms - ISSN 2075-1680