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Axioms, Volume 12, Issue 4

April 2023 - 90 articles

Cover Story: Piecewise differential systems have been extensively studied in recent decades, mainly due to their applications. Of particular interest is the generalization of Hilbert's problem 16 to piecewise polynomial systems of degree n. Here, we are interested in determining the maximum number of algebraic limit cycles of the piecewise linear differential systems separated by one straight line. First, we classified all the linear differential systems with a polynomial first integral. Using this information, we have proved that if in one of the two pieces of the piecewise linear differential systems there is a Hamiltonian system of degree one, the piecewise differential system has at most one limit cycle. View this paper
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Articles (90)

  • Article
  • Open Access
7 Citations
2,496 Views
23 Pages

21 April 2023

Two main topics are addressed in the present paper, first, a rigorous qualitative study of a second-order reaction–diffusion problem with non-linear diffusion and cubic-type reactions, as well as inhomogeneous dynamic boundary conditions. Under...

  • Article
  • Open Access
2 Citations
2,501 Views
14 Pages

21 April 2023

In this article, we apply a new class of fuzzy control functions to approximate a Cauchy additive mapping in fuzzy Banach space (FBS). Further, considering the unital FBS (UFBS), we will investigate the isomorphisms defined in this space. By introduc...

  • Article
  • Open Access
2 Citations
2,747 Views
19 Pages

21 April 2023

Network robustness is of paramount importance. Although great progress has been achieved in robustness optimization using single measures, such networks may still be vulnerable to many attack scenarios. Consequently, multi-objective network robustnes...

  • Article
  • Open Access
2 Citations
2,971 Views
17 Pages

21 April 2023

This paper studies the aperiodic sampled-data (SD) control anti-synchronization issue of chaotic nonlinear systems under the effects of input saturation. At first, to describe the simultaneous existence of the aperiodic SD pattern and the input satur...

  • Article
  • Open Access
1 Citations
2,281 Views
22 Pages

21 April 2023

When predicting the defaults of a large number of samples in a region, this will be affected by industry default heterogeneity. To build a credit risk model that is more suitable for Chinese-listed firms, which have highly industry-specific default h...

  • Article
  • Open Access
10 Citations
2,431 Views
14 Pages

On the Fixed Circle Problem on Metric Spaces and Related Results

  • Nabil Mlaiki,
  • Nihal Özgür,
  • Nihal Taş and
  • Dania Santina

20 April 2023

The fixed-circle issue is a geometric technique that is connected to the study of geometric characteristics of certain points, and that are fixed by the self-mapping of either the metric space or of the generalized space. The fixed-disc problem is a...

  • Article
  • Open Access
21 Citations
1,909 Views
13 Pages

Two Novel Computational Techniques for Solving Nonlinear Time-Fractional Lax’s Korteweg-de Vries Equation

  • Nidhish Kumar Mishra,
  • Mashael M. AlBaidani,
  • Adnan Khan and
  • Abdul Hamid Ganie

20 April 2023

This article investigates the seventh-order Lax’s Korteweg–de Vries equation using the Yang transform decomposition method (YTDM) and the homotopy perturbation transform method (HPTM). The physical phenomena that emerge in physics, engine...

  • Article
  • Open Access
4 Citations
1,647 Views
19 Pages

Properties of Convex Fuzzy-Number-Valued Functions on Harmonic Convex Set in the Second Sense and Related Inequalities via Up and Down Fuzzy Relation

  • Muhammad Bilal Khan,
  • Željko Stević,
  • Abdulwadoud A. Maash,
  • Muhammad Aslam Noor and
  • Mohamed S. Soliman

20 April 2023

In this paper, we provide different variants of the Hermite–Hadamard (H⋅H) inequality using the concept of a new class of convex mappings, which is referred to as up and down harmonically s-convex fuzzy-number-valued functions (UDH s-...

  • Article
  • Open Access
1,553 Views
20 Pages

Reconstructing Loads in Nanoplates from Dynamic Data

  • Alexandre Kawano and
  • Antonino Morassi

20 April 2023

It was recently proved that the knowledge of the transverse displacement of a nanoplate in an open subset of its mid-plane, measured for any interval of time, allows for the unique determination of the spatial components {fm(x,y)}m=1M of the transver...

  • Article
  • Open Access
1 Citations
1,546 Views
16 Pages

On the Existence of Solutions to a Boundary Value Problem via New Weakly Contractive Operator

  • Rhoda Chiroma,
  • Trad Alotaibi,
  • Mohammed Shehu Shagari,
  • Awad A. Bakery,
  • OM Kalthum S. K. Mohammed and
  • Arafa O. Mustafa

20 April 2023

In this paper, the notion of generalized quasi-weakly contractive operators in metric-like spaces is introduced, and new conditions for the existence of fixed points for such mappings are investigated. A non-trivial example which highlights the novel...

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Axioms - ISSN 2075-1680Creative Common CC BY license