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Demonstratio Mathematica最新文献

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Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity 无4-超线性在无穷远处的变符号非线性拟线性Schrödinger方程的无穷多解
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0169
M. Khiddi, L. Essafi
{"title":"Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity","authors":"M. Khiddi, L. Essafi","doi":"10.1515/dema-2022-0169","DOIUrl":"https://doi.org/10.1515/dema-2022-0169","url":null,"abstract":"Abstract In this article, we will prove the existence of infinitely many solutions for a class of quasilinear Schrödinger equations without assuming the 4-superlinear at infinity on the nonlinearity. We achieve our goal by using the Fountain theorem.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"55 1","pages":"831 - 842"},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42693140","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: 2
Some recent results on singular p-Laplacian equations 关于奇异p-拉普拉斯方程的一些最新结果
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0031
U. Guarnotta, R. Livrea, S. Marano
{"title":"Some recent results on singular p-Laplacian equations","authors":"U. Guarnotta, R. Livrea, S. Marano","doi":"10.1515/dema-2022-0031","DOIUrl":"https://doi.org/10.1515/dema-2022-0031","url":null,"abstract":"Abstract A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions. An extensive bibliography is also provided.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"55 1","pages":"416 - 428"},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44317369","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: 4
Data analysis-based time series forecast for managing household electricity consumption 基于数据分析的时间序列预测管理家庭用电量
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0176
Nour El-Houda Bezzar, L. Laimeche, A. Meraoumia, L. Houam
{"title":"Data analysis-based time series forecast for managing household electricity consumption","authors":"Nour El-Houda Bezzar, L. Laimeche, A. Meraoumia, L. Houam","doi":"10.1515/dema-2022-0176","DOIUrl":"https://doi.org/10.1515/dema-2022-0176","url":null,"abstract":"Abstract Recently, electricity consumption forecasting has attracted much research due to its importance in our daily life as well as in economic activities. This process is seen as one of the ways to manage future electricity needs, including anticipating the supply-demand balance, especially at peak times, and helping the customer make real-time decisions about their consumption. Therefore, based on statistical techniques (ST) and/or artificial intelligence (AI), many forecasting models have been developed in the literature, but unfortunately, in addition to poor choice of the appropriate model, time series datasets were used directly without being seriously analyzed. In this article, we have proposed an efficient electricity consumption prediction model that takes into account the shortcomings mentioned earlier. Therefore, the database was analyzed to address all anomalies such as non-numeric values, aberrant, and missing values. In addition, by analyzing the correlation between the data, the possible periods for forecasting electricity consumption were determined. The experimental results carried out on the Individual Household Electricity Power Consumption dataset showed a clear superiority of the proposed model over most of the ST and/or AI-based models proposed in the literature.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"55 1","pages":"900 - 921"},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46336428","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
Approximation of integrable functions by general linear matrix operators of their Fourier series 用傅立叶级数的一般线性矩阵算子逼近可积函数
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0009
V. Mishra, W. Łenski, B. Szal
{"title":"Approximation of integrable functions by general linear matrix operators of their Fourier series","authors":"V. Mishra, W. Łenski, B. Szal","doi":"10.1515/dema-2022-0009","DOIUrl":"https://doi.org/10.1515/dema-2022-0009","url":null,"abstract":"Abstract The pointwise estimates of the deviation T n , A f ( ⋅ ) − f ( ⋅ ) {T}_{n,A}f(cdot )-fleft(cdot ) in terms of pointwise moduli of continuity based on the points of differentiability of indefinite integral of f f , with application of the rth differences of the entries of A A , are proved. The similar results in case of the Lebesgue points are considered, too. Analogical results on norm approximation with remarks and corollaries are also given.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"55 1","pages":"136 - 152"},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49636939","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
Mathematical modeling and optimal control of the impact of rumors on the banking crisis 谣言对银行危机影响的数学建模与最优控制
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0007
C. Tadmon, Eric Rostand Njike-Tchaptchet
{"title":"Mathematical modeling and optimal control of the impact of rumors on the banking crisis","authors":"C. Tadmon, Eric Rostand Njike-Tchaptchet","doi":"10.1515/dema-2022-0007","DOIUrl":"https://doi.org/10.1515/dema-2022-0007","url":null,"abstract":"Abstract The bank run phenomenon, mostly due to rumor spread about the financial health of given financial institutions, is prejudicious to the stability of financial systems. In this paper, by using the epidemiological approach, we propose a nonlinear model for describing the impact of rumor on the banking crisis spread. We establish conditions under which the crisis dies out or remains permanent. We also solve an optimal control problem focusing on the minimization, at the lowest cost, of the number of stressed banks, as well as the number of banks undergoing the restructuring process. Numerical simulations are performed to illustrate theoretical results obtained.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"55 1","pages":"90 - 118"},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43490523","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
Fully degenerate Bernoulli numbers and polynomials 完全退化伯努利数和多项式
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0160
Taekyun Kim, Dae San Kim, Jin-Woo Park
{"title":"Fully degenerate Bernoulli numbers and polynomials","authors":"Taekyun Kim, Dae San Kim, Jin-Woo Park","doi":"10.1515/dema-2022-0160","DOIUrl":"https://doi.org/10.1515/dema-2022-0160","url":null,"abstract":"Abstract The aim of this article is to study the fully degenerate Bernoulli polynomials and numbers, which are a degenerate version of Bernoulli polynomials and numbers and arise naturally from the Volkenborn integral of the degenerate exponential functions on Z p {{mathbb{Z}}}_{p} . We find some explicit expressions for the fully degenerate Bernoulli polynomials and numbers in terms of the degenerate Stirling numbers of the second kind, the degenerate r r -Stirling numbers of the second kind, and the degenerate Stirling polynomials. We also consider the degenerate poly-Bernoulli polynomials and derive explicit representations for them in terms of the same degenerate Stirling numbers and polynomials.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"55 1","pages":"604 - 614"},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44954720","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: 2
Regularity and normality in hereditary bi m-spaces 遗传双m空间的正则性与正态性
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0021
A. Al-Omari, S. Al Ghour, T. Noiri
{"title":"Regularity and normality in hereditary bi m-spaces","authors":"A. Al-Omari, S. Al Ghour, T. Noiri","doi":"10.1515/dema-2022-0021","DOIUrl":"https://doi.org/10.1515/dema-2022-0021","url":null,"abstract":"Abstract Quite recently, a new minimal structure m H ⋆ {m}_{H}^{star } and an m n mn - ℋ g {{mathcal{ {mathcal H} }}}_{g} -closed set have been introduced in a previous study [T. Noiri and V. Popa, Closed sets in hereditary bi m-spaces, Questions Answers General Topol. 38 (2020), 133–142] by using two minimal structures m, n n and a hereditary class ℋ {mathcal{ {mathcal H} }} . In this paper, we introduce and investigate the notions of ( m , n ) left(m,n) - ℋ g ⋆ {{mathcal{ {mathcal H} }}}_{g}^{star } -regularity and ( m , n ) left(m,n) - ℋ g ⋆ {{mathcal{ {mathcal H} }}}_{g}^{star } -normality in a hereditary bi m-space ( X , m , n , ℋ ) left(X,m,n,{mathcal{ {mathcal H} }}) .","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"55 1","pages":"226 - 237"},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46704812","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
Positive solutions for fractional differential equation at resonance under integral boundary conditions 积分边界条件下分数阶微分方程共振正解
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0026
Youyu Wang, Yue Huang, Xianfei Li
{"title":"Positive solutions for fractional differential equation at resonance under integral boundary conditions","authors":"Youyu Wang, Yue Huang, Xianfei Li","doi":"10.1515/dema-2022-0026","DOIUrl":"https://doi.org/10.1515/dema-2022-0026","url":null,"abstract":"Abstract By using the theory of fixed point index and spectral theory of linear operators, we study the existence of positive solutions for Riemann-Liouville fractional differential equations at resonance. Our approach will provide some new ideas for the study of this kind of problem.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"55 1","pages":"238 - 253"},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42391098","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: 2
Computation of solution of integral equations via fixed point results 用不动点结果计算积分方程的解
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0172
Manar A. Alqudah, C. Garodia, I. Uddin, Juan J. Nieto
{"title":"Computation of solution of integral equations via fixed point results","authors":"Manar A. Alqudah, C. Garodia, I. Uddin, Juan J. Nieto","doi":"10.1515/dema-2022-0172","DOIUrl":"https://doi.org/10.1515/dema-2022-0172","url":null,"abstract":"Abstract The motive of this article is to study a modified iteration scheme for monotone nonexpansive mappings in the class of uniformly convex Banach space and establish some convergence results. We obtain weak and strong convergence results. In addition, we present a nontrivial numerical example to show the convergence of our iteration scheme. To demonstrate the utility of our scheme, we discuss the solution of nonlinear integral equations as an application, which is again supported by a nontrivial example.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"55 1","pages":"772 - 785"},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41922803","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
An accurate and efficient local one-dimensional method for the 3D acoustic wave equation 三维声波方程的一种精确有效的局部一维方法
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2022-01-01 DOI: 10.1515/dema-2022-0148
Mengling Wu, Yunzhi Jiang, Y. Ge
{"title":"An accurate and efficient local one-dimensional method for the 3D acoustic wave equation","authors":"Mengling Wu, Yunzhi Jiang, Y. Ge","doi":"10.1515/dema-2022-0148","DOIUrl":"https://doi.org/10.1515/dema-2022-0148","url":null,"abstract":"Abstract We establish an accurate and efficient scheme with four-order accuracy for solving three-dimensional (3D) acoustic wave equation. First, the local one-dimensional method is used to transfer the 3D wave equation into three one-dimensional wave equations. Then, a new scheme is obtained by the Padé formulas for computation of spatial second derivatives and the correction of the truncation error remainder for discretization of temporal second derivative. It is compact and can be solved directly by the Thomas algorithm. Subsequently, the Fourier analysis method and the Lax equivalence theorem are employed to prove the stability and convergence of the present scheme, which shows that it is conditionally stable and convergent, and the stability condition is superior to that of most existing numerical methods of equivalent order of accuracy in the literature. It allows us to reduce computational cost with relatively large time step lengths. Finally, numerical examples have demonstrated high accuracy, stability, and efficiency of our method.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"55 1","pages":"528 - 552"},"PeriodicalIF":2.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47239119","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: 3
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