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Mathematics, Volume 12, Issue 14

2024 July-2 - 151 articles

Cover Story: The study of nonlinear Schrödinger–Poisson systems has been a central topic in the field of nonlinear analysis for more than two decades. As most results on nonlinear elliptic boundary value problems demonstrate, to obtain nonzero solutions, conditions close to zero and infinity for nonlinearity are required. Using Liu and Wang's version of Clark's theorem [Ann. I. H. Poincaré – AN 32 (2015) 1015–1037], by truncating the term in the variational functional corresponding to the nonlinearity, we obtain infinite solutions of Schrödinger–Poisson systems whose odd nonlinearity is sublinear near zero. Except for subcritical growth, no other technical assumption is assumed for nonlinearity. Similar results for Schrödinger–Kirchhoff equations have also been obtained. View this paper
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Articles (151)

  • Article
  • Open Access
1,791 Views
22 Pages

22 July 2024

The species of the adaptive male–female sex ratio has different effects on the bio-community. This paper is aimed at figuring out these effects through mechanism analysis and Ordinary Differential Equation (ODE). Hence, the ODE environmental mo...

  • Article
  • Open Access
1,434 Views
16 Pages

22 July 2024

This paper explores resilient control problems for discrete-time nonlinear semi-Markov jump systems characterized by incremental quadratic constraints. Considering the system’s uncertainties and external environmental factors, mode-dependent re...

  • Article
  • Open Access
7 Citations
2,061 Views
25 Pages

22 July 2024

Predicting student performance in the future is a crucial behavior prediction problem in education. By predicting student performance, educational experts can provide individualized instruction, optimize the allocation of resources, and develop educa...

  • Article
  • Open Access
1,464 Views
19 Pages

22 July 2024

In this work, we introduce a new type of multivalued fuzzy proximal quasi-contraction. These are generalized contractions which are a hybrid of H-contractive mappings and quasi-contractions. Furthermore, we establish the best proximity point results...

  • Article
  • Open Access
1 Citations
1,197 Views
24 Pages

22 July 2024

In this paper, the existence of optimal solutions for problems governed by differential equations involving feedback controls is established for when the problem must account for a Volterra-type distributed delay and is subject to the action of impul...

  • Article
  • Open Access
1 Citations
1,488 Views
14 Pages

Eighth-Order Numerov-Type Methods Using Varying Step Length

  • Obaid Alshammari,
  • Sondess Ben Aoun,
  • Mourad Kchaou,
  • Theodore E. Simos,
  • Charalampos Tsitouras and
  • Houssem Jerbi

22 July 2024

This work explores a well-established eighth-algebraic-order numerical method belonging to the explicit Numerov-type family. To enhance its efficiency, we integrated a cost-effective algorithm for adjusting the step size. After each step, the algorit...

  • Article
  • Open Access
1 Citations
1,421 Views
16 Pages

Limit Theorems for Spectra of Circulant Block Matrices with Large Random Blocks

  • Alexander Tikhomirov,
  • Sabina Gulyaeva and
  • Dmitry Timushev

22 July 2024

This paper investigates the spectral properties of block circulant matrices with high-order symmetric (or Hermitian) blocks. We analyze cases with dependent or sparse independent entries within these blocks. Additionally, we analyze the distribution...

  • Article
  • Open Access
2 Citations
2,386 Views
23 Pages

22 July 2024

Ride-hailing services have grown rapidly, presenting challenges such as increased traffic congestion, inefficient driver workload distribution, and environmental concerns like higher fuel consumption and emissions. This study develops a non-linear ri...

  • Article
  • Open Access
1,485 Views
17 Pages

22 July 2024

This paper proposes a semiparametric spatial lag model and develops a Bayesian estimation method for this model. In the estimation of the model, the paper combines Reversible Jump Markov Chain Monte Carlo (RJMCMC) algorithm, random walk Metropolis sa...

  • Article
  • Open Access
1 Citations
1,590 Views
32 Pages

22 July 2024

Prefabricated cabin modular units (PMCUs) are a widespread type of intermediate products used during ship or offshore platform construction. This paper focuses on the scheduling problem of PMCU assembly flow shops, which is summarized as a multi-obje...

  • Article
  • Open Access
1,239 Views
12 Pages

22 July 2024

In the paper, we investigate the commutativity of a two-torsion free prime ring R provided with generalized derivations, and some well-known results that characterize the commutativity of prime rings through generalized derivations have been generali...

  • Article
  • Open Access
1,193 Views
11 Pages

22 July 2024

We consider the problem of determining the weights of difference schemes whose form is specified by a particular symbolic expression. The order of approximation of the differential equation is equal to a given number. To solve it, it was propose to p...

  • Article
  • Open Access
1 Citations
1,695 Views
17 Pages

22 July 2024

The optimization problems in a fluid catalytic cracking process with dynamic constraints and conflicting objectives are challenging due to the complicated constraints and dynamic environments. The decision variables need to be reoptimized to obtain t...

  • Article
  • Open Access
5 Citations
2,107 Views
16 Pages

Enhanced Attention Res-Unet for Segmentation of Knee Bones

  • Daniel Aibinder,
  • Matan Weisberg,
  • Anna Ghidotti and
  • Miri Weiss Cohen

22 July 2024

The objective of this study was to develop a U-net capable of generating highly accurate 3D models of knee bones, in particular the femur. As part of the approach, a U-net was designed, trained, and validated. In order to achieve these goals, a novel...

  • Article
  • Open Access
13 Citations
4,149 Views
35 Pages

Multi-Objective Optimization of Resilient, Sustainable, and Safe Urban Bus Routes for Tourism Promotion Using a Hybrid Reinforcement Learning Algorithm

  • Keartisak Sriprateep,
  • Rapeepan Pitakaso,
  • Surajet Khonjun,
  • Thanatkij Srichok,
  • Peerawat Luesak,
  • Sarayut Gonwirat,
  • Chutchai Kaewta,
  • Monika Kosacka-Olejnik and
  • Prem Enkvetchakul

22 July 2024

Urban transportation systems in tourism-centric cities face challenges from rapid urbanization and population growth. Efficient, resilient, and sustainable bus route optimization is essential to ensure reliable service, minimize environmental impact,...

  • Article
  • Open Access
6 Citations
2,048 Views
21 Pages

Laplace-Logistic Unit Distribution with Application in Dynamic and Regression Analysis

  • Vladica S. Stojanović,
  • Tanja Jovanović Spasojević and
  • Mihailo Jovanović

22 July 2024

This manuscript presents a new two-parameter unit stochastic distribution, obtained by transforming the Laplace distribution, using a generalized logistic map, into a unit interval. The distribution thus obtained is named the Laplace-logistic unit (a...

  • Article
  • Open Access
6 Citations
2,442 Views
18 Pages

Seismic Response Prediction of Rigid Rocking Structures Using Explainable LightGBM Models

  • Ioannis Karampinis,
  • Kosmas E. Bantilas,
  • Ioannis E. Kavvadias,
  • Lazaros Iliadis and
  • Anaxagoras Elenas

21 July 2024

This study emphasizes the explainability of machine learning (ML) models in predicting the seismic response of rigid rocking structures, specifically using the LightGBM algorithm. By employing SHapley Additive exPlanations (SHAP), partial dependence...

  • Article
  • Open Access
23 Citations
3,148 Views
18 Pages

Learning a Context-Aware Environmental Residual Correlation Filter via Deep Convolution Features for Visual Object Tracking

  • Sachin Sakthi Kuppusami Sakthivel,
  • Sathishkumar Moorthy,
  • Sathiyamoorthi Arthanari,
  • Jae Hoon Jeong and
  • Young Hoon Joo

21 July 2024

Visual tracking has become widespread in swarm robots for intelligent video surveillance, navigation, and autonomous vehicles due to the development of machine learning algorithms. Discriminative correlation filter (DCF)-based trackers have gained in...

  • Review
  • Open Access
5 Citations
3,324 Views
17 Pages

21 July 2024

In 1733, de Moivre, investigating the limit distribution of the binomial distribution, was the first to discover the existence of the normal distribution and the central limit theorem (CLT). In this review article, we briefly recall the history of cl...

  • Article
  • Open Access
1,944 Views
21 Pages

21 July 2024

Feature selection is a basic and important step in real applications, such as face recognition and image segmentation. In this paper, we propose a new weakly supervised multi-view feature selection method by utilizing pairwise constraints, i.e., the...

  • Article
  • Open Access
1 Citations
3,057 Views
26 Pages

21 July 2024

To address the limitations of existing graph contrastive learning methods, which fail to adaptively integrate feature and topological information and struggle to efficiently capture multi-hop information, we propose an adaptive multi-view parallel gr...

  • Article
  • Open Access
1,489 Views
17 Pages

21 July 2024

This work is devoted to the interaction of nucleotides. The goal of this study is to learn or try to learn how the interaction between nucleotides with exposure to a liquid takes place. Will the interacting forces of the nucleotides be sufficient to...

  • Article
  • Open Access
1,048 Views
11 Pages

Stability and Instability of an Apollonius-Type Functional Equation

  • Ponmana Selvan Arumugam,
  • Won-Gil Park and
  • Jaiok Roh

21 July 2024

For the inner product space, we have Appolonius’ identity. From this identity, Park and Th. M. Rassias induced and investigated the quadratic functional equation of the Apollonius type. And Park and Th. M. Rassias first introduced an Apollonius...

  • Article
  • Open Access
2,413 Views
32 Pages

20 July 2024

The Geometric Algebra Fulcrum Library (GA-FuL) version 1.0 is introduced in this paper as a comprehensive computational library for geometric algebra (GA) and Clifford algebra (CA), in addition to other classical algebras. As a sophisticated software...

  • Article
  • Open Access
1,648 Views
14 Pages

20 July 2024

A challenging part of studying geometric function theory is figuring out the sharp boundaries for coefficient-related problems that crop up in the Taylor–Maclaurin series of univalent functions. Using Caputo-type fractional derivatives to defin...

  • Article
  • Open Access
1 Citations
1,074 Views
11 Pages

20 July 2024

In this study, some new necessary and sufficient conditions for a two-weight, weak-type maximal inequality of the form φ1(λ){xX:Mf(x)>λ}ϱ(x)dμ(x)cXφ2c|f(x)|σ(x)dμ(x) are obtained in Orlic...

  • Article
  • Open Access
11 Citations
2,577 Views
23 Pages

20 July 2024

When using multi-criteria decision-making methods in applied problems, an important aspect is the determination of the criteria weights. These weights represent the degree of each criterion’s importance in a certain group. The process of determ...

  • Article
  • Open Access
1,527 Views
18 Pages

20 July 2024

Historically and to date, the continuity equation (C.E.) has served as a consistency criterion for the development of physical theories. In this paper, we study the C.E. employing the mathematical framework of space–time algebra (STA), showing...

  • Article
  • Open Access
2 Citations
3,945 Views
17 Pages

20 July 2024

Recognizing the importance of incorporating different risk measures in the portfolio management model, this paper examines the dynamic mean-risk portfolio optimization problem using both variance and value at risk (VaR) as risk measures. By employing...

  • Article
  • Open Access
3 Citations
4,090 Views
19 Pages

Building an Analog Circuit Synapse for Deep Learning Neuromorphic Processing

  • Alejandro Juarez-Lora,
  • Victor H. Ponce-Ponce,
  • Humberto Sossa-Azuela,
  • Osvaldo Espinosa-Sosa and
  • Elsa Rubio-Espino

20 July 2024

In this article, we propose a circuit to imitate the behavior of a Reward-Modulated spike-timing-dependent plasticity synapse. When two neurons in adjacent layers produce spikes, each spike modifies the thickness in the shared synapse. As a result, t...

  • Article
  • Open Access
1,305 Views
17 Pages

19 July 2024

In this paper, we develop a new Best Uniform Rational Approximation-Semi-Discrete (BURA-SD) method taking into account the singularities of the solution of fractional diffusion problems in polygonal domains. The complementary capabilities of the expo...

  • Article
  • Open Access
1,333 Views
17 Pages

19 July 2024

Analyzing treatment or exposure effect is a major research theme in scientific studies. In the current big-data era where multiple sources of data are available, it is of interest to perform a synthesized analysis of treatment effects by integrating...

  • Article
  • Open Access
6 Citations
3,286 Views
25 Pages

19 July 2024

In recent years, many mobile edge computing network solutions have enhanced data privacy and security and built a trusted network mechanism by introducing blockchain technology. However, this also complicates the task-offloading problem of blockchain...

  • Article
  • Open Access
2,210 Views
16 Pages

19 July 2024

Recently, studies on early-exit mechanisms have emerged to reduce the computational cost during the inference process of deep learning models. However, most existing early-exit architectures simply determine early exiting based only on a target confi...

  • Article
  • Open Access
1 Citations
1,406 Views
16 Pages

A Hierarchical Authorization Reversible Data Hiding in Encrypted Image Based on Secret Sharing

  • Chao Jiang,
  • Minqing Zhang,
  • Yongjun Kong,
  • Zongbao Jiang and
  • Fuqiang Di

19 July 2024

In the current distributed environment, reversible data hiding in encrypted domain (RDH-ED) cannot grant corresponding privileges according to users’ identity classes. To address this issue, this paper proposes a hierarchical authorization stru...

  • Article
  • Open Access
3 Citations
1,194 Views
13 Pages

19 July 2024

This paper investigates the one-bit function perturbation (OBFP) impact on the robust set stability of Boolean networks with disturbances (DBNs). Firstly, the dynamics of these networks are converted into the algebraic forms utilizing the semi-tensor...

  • Article
  • Open Access
1,499 Views
17 Pages

19 July 2024

The goal of the present paper is to provide a cohomology theory and crossed modules of modified Rota–Baxter pre-Lie algebras. We introduce the notion of a modified Rota–Baxter pre-Lie algebra and its bimodule. We define a cohomology of mo...

  • Article
  • Open Access
3 Citations
1,876 Views
17 Pages

19 July 2024

Aiming to address the limited coverage of conventional reconfigurable intelligent surfaces (RISs), this study proposes a millimeter-wave secure communication scheme based on the simultaneously transmitting and reflecting reconfigurable intelligent su...

  • Article
  • Open Access
29 Citations
2,289 Views
23 Pages

19 July 2024

The study consists of the distinct types of the exact soliton solutions to an important model called the beta-time fractional (1 + 1)-dimensional non-linear Van der Waals equation. This model is used to explain the motion of molecules and materials....

  • Article
  • Open Access
2 Citations
3,125 Views
28 Pages

End-to-End Deep Learning Framework for Arabic Handwritten Legal Amount Recognition and Digital Courtesy Conversion

  • Hakim A. Abdo,
  • Ahmed Abdu,
  • Mugahed A. Al-Antari,
  • Ramesh R. Manza,
  • Muhammed Talo,
  • Yeong Hyeon Gu and
  • Shobha Bawiskar

19 July 2024

Arabic handwriting recognition and conversion are crucial for financial operations, particularly for processing handwritten amounts on cheques and financial documents. Compared to other languages, research in this area is relatively limited, especial...

  • Article
  • Open Access
1 Citations
1,510 Views
19 Pages

19 July 2024

This paper presents new classes of strong fuzzy negations, fuzzy implications and Copulas. It begins by presenting two theorems with function classes involving the construction of strong fuzzy negations. These classes are based on a well-known equili...

  • Article
  • Open Access
4 Citations
1,274 Views
25 Pages

A Working Conditions Warning Method for Sucker Rod Wells Based on Temporal Sequence Prediction

  • Kai Zhang,
  • Chengzhe Yin,
  • Weiying Yao,
  • Gaocheng Feng,
  • Chen Liu,
  • Cheng Cheng and
  • Liming Zhang

19 July 2024

The warning of the potential faults occurring in the future in a sucker rod well can help technicians adjust production strategies in time. It is of great significance for safety during well production. In this paper, the key characteristic parameter...

  • Article
  • Open Access
3 Citations
2,847 Views
52 Pages

Nonlinear Identification for Control by Using NARMAX Models

  • Dan Stefanoiu,
  • Janetta Culita,
  • Andreea-Cristina Voinea and
  • Vasilica Voinea

19 July 2024

The identification (and control) of nonlinear systems is one of the most important and actual research directions. Moreover, many systems are multivariable. Different from linear system identification (where only a few classes of models are available...

  • Article
  • Open Access
1 Citations
1,003 Views
22 Pages

Learning Transformed Dynamics for Efficient Control Purposes

  • Chady Ghnatios,
  • Joel Mouterde,
  • Jerome Tomezyk,
  • Joaquim Da Silva and
  • Francisco Chinesta

19 July 2024

Learning linear and nonlinear dynamical systems from available data is a timely topic in scientific machine learning. Learning must be performed while enforcing the numerical stability of the learned model, the existing knowledge within an informed o...

  • Article
  • Open Access
13 Citations
4,522 Views
27 Pages

19 July 2024

This study addresses the critical challenge of data imbalance in credit card fraud detection (CCFD), a significant impediment to accurate and reliable fraud prediction models. Fraud detection (FD) is a complex problem due to the constantly evolving t...

  • Article
  • Open Access
6 Citations
1,272 Views
25 Pages

19 July 2024

Over the past decade, there has been notable attention directed towards spectrum and energy efficiency in conjunction with simultaneous wireless information and power transfer (SWIPT), aimed at extending the operational lifespan of energy-constrained...

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Mathematics - ISSN 2227-7390