Demonstratio Mathematica最新文献

Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative 具有里兹-卡普托导数的混合边界值问题耦合系统的解法

IF 2 3区数学

Demonstratio Mathematica Pub Date : 2024-01-01 DOI: 10.1515/dema-2023-0125

Dehong Ji, Shiqiu Fu, Yitao Yang

引用次数: 0

Existence of projected solutions for quasi-variational hemivariational inequality 准变量半变量不等式的投影解的存在性

IF 2 3区数学

Demonstratio Mathematica Pub Date : 2024-01-01 DOI: 10.1515/dema-2023-0139

Fei Guan, Jinxia Cen, Boling Chen, Jen-Chih Yao

引用次数: 0

On the p-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity 关于有电磁场的 p 分数薛定谔-基尔霍夫方程和哈代-利特尔伍德-索博廖夫非线性

IF 2 3区数学

Demonstratio Mathematica Pub Date : 2024-01-01 DOI: 10.1515/dema-2023-0124

Min Zhao, Yueqiang Song, D. D. Repovš

{"title":"On the p-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity","authors":"Min Zhao, Yueqiang Song, D. D. Repovš","doi":"10.1515/dema-2023-0124","DOIUrl":"https://doi.org/10.1515/dema-2023-0124","url":null,"abstract":"Abstract In this article, we deal with the following p p -fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: M ( [ u ] s , A p ) ( − Δ ) p , A s u + V ( x ) ∣ u ∣ p − 2 u = λ ∫ R N ∣ u ∣ p μ , s * ∣ x − y ∣ μ d y ∣ u ∣ p μ , s * − 2 u + k ∣ u ∣ q − 2 u , x ∈ R N , M({left[u]}_{s,A}^{p}){left(-Delta )}_{p,A}^{s}u+Vleft(x){| u| }^{p-2}u=lambda left(mathop{int }limits_{{{mathbb{R}}}^{N}}frac{{| u| }^{{p}_{mu ,s}^{* }}}{{| x-y| }^{mu }}{rm{d}}yright){| u| }^{{p}_{mu ,s}^{* }-2}u+k{| u| }^{q-2}u,hspace{1em}xin {{mathbb{R}}}^{N}, where 0 < s < 1 < p 0lt slt 1lt p , p s < N pslt N , p < q < 2 p s , μ * plt qlt 2{p}_{s,mu }^{* } , 0 < μ < N 0lt mu lt N , λ lambda , and k k are some positive parameters, p s , μ * = p N − p μ 2 N − p s {p}_{s,mu }^{* }=frac{pN-pfrac{mu }{2}}{N-ps} is the critical exponent with respect to the Hardy-Littlewood-Sobolev inequality, and functions V V and M M satisfy the suitable conditions. By proving the compactness results using the fractional version of concentration compactness principle, we establish the existence of nontrivial solutions to this problem.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139458306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Binary relations applied to the fuzzy substructures of quantales under rough environment 二元关系应用于粗糙环境下的量子模糊子结构

IF 2 3区数学

Demonstratio Mathematica Pub Date : 2024-01-01 DOI: 10.1515/dema-2023-0109

Saqib Mazher Qurashi, Bander Almutairi, Qin Xin, Rani Sumaira Kanwal, Aqsa

引用次数: 0

Toward automated hail disaster weather recognition based on spatio-temporal sequence of radar images 基于雷达图像时空序列实现冰雹灾害天气自动识别

IF 2 3区数学

Demonstratio Mathematica Pub Date : 2024-01-01 DOI: 10.1515/dema-2023-0262

Liuping Wang, Ziyi Chen, Jinping Liu, Jin Zhang, A. Alkhateeb

{"title":"Toward automated hail disaster weather recognition based on spatio-temporal sequence of radar images","authors":"Liuping Wang, Ziyi Chen, Jinping Liu, Jin Zhang, A. Alkhateeb","doi":"10.1515/dema-2023-0262","DOIUrl":"https://doi.org/10.1515/dema-2023-0262","url":null,"abstract":"\u0000 Hail, an intense convective catastrophic weather, is seriously hazardous to people’s lives and properties. This article proposes a multi-step cyclone hail weather recognition model, called long short-term memory (LSTM)-C3D, based on radar images, integrating attention mechanism and network voting optimization characteristics to achieve intelligent recognition and accurate classification of hailstorm weather based on long short-term memory networks. Based on radar echo data in the strong-echo region, LSTM-C3D can selectively fuse the long short-term time feature information of hail meteorological images and effectively focus on the significant features to achieve intelligent recognition of hail disaster weather. The meteorological scans of 11 Doppler weather radars deployed in various regions of the Hunan Province of China are used as the specific experimental and application objects for extensive validation and comparison experiments. The results show that the proposed method can realize the automatic extraction of radar reflectivity image features, and the accuracy of hail identification in the strong-echo region reaches 91.3%. It can also effectively realize the prediction of convective storm movement trends, laying the theoretical foundation for reducing the misjudgment of extreme disaster weather.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139638963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions 对于广义 h 前凸函数，具有广义 Mittag-Leffler 核的新局部分式 Hermite-Hadamard 型和 Ostrowski 型不等式

IF 2 3区数学

Demonstratio Mathematica Pub Date : 2024-01-01 DOI: 10.1515/dema-2023-0128

Wenbing Sun, Haiyang Wan

引用次数: 0

An inertial shrinking projection self-adaptive algorithm for solving split variational inclusion problems and fixed point problems in Banach spaces 解决巴拿赫空间中分裂变分包容问题和定点问题的惯性收缩投影自适应算法

IF 2 3区数学

Demonstratio Mathematica Pub Date : 2024-01-01 DOI: 10.1515/dema-2023-0127

Matlhatsi Dorah Ngwepe, L. Jolaoso, M. Aphane, U. Adiele

引用次数: 0

A study on a type of degenerate poly-Dedekind sums 关于一种退化的多戴金和的研究