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Mathematics, Volume 12, Issue 14

July-2 2024 - 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
1,522 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
1,212 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
4 Citations
1,726 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
1,304 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
1,072 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
1,285 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
1,222 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
2,011 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
1,285 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...

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Mathematics - ISSN 2227-7390Creative Common CC BY license