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Demonstratio Mathematica最新文献

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Jordan triple (α,β)-higher ∗-derivations on semiprime rings 半素环上的Jordan三重(α，β)-高* -导数
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0213
O. H. Ezzat
{"title":"Jordan triple (α,β)-higher ∗-derivations on semiprime rings","authors":"O. H. Ezzat","doi":"10.1515/dema-2022-0213","DOIUrl":"https://doi.org/10.1515/dema-2022-0213","url":null,"abstract":"Abstract In this article, we define the following: Let N 0 {{mathbb{N}}}_{0} be the set of all nonnegative integers and D = ( d i ) i ∈ N 0 D={left({d}_{i})}_{iin {{mathbb{N}}}_{0}} a family of additive mappings of a ∗ ast -ring R R such that d 0 = i d R {d}_{0}=i{d}_{R} . D D is called a Jordan ( α , β ) left(alpha ,beta ) -higher ∗ ast -derivation (resp. a Jordan triple ( α , β ) left(alpha ,beta ) -higher ∗ ast -derivation) of R R if d n ( a 2 ) = ∑ i + j = n d i ( β j ( a ) ) d j ( α i ( a ∗ i ) ) {d}_{n}left({a}^{2})={sum }_{i+j=n}{d}_{i}left({beta }^{j}left(a)){d}_{j}left({alpha }^{i}left({a}^{{ast }^{i}})) (resp. d n ( a b a ) = ∑ i + j + k = n d i ( β j + k ( a ) ) d j ( β k ( α i ( b ∗ i ) ) ) d k ( α i + j ( a ∗ i + j ) ) {d}_{n}left(aba)={sum }_{i+j+k=n}{d}_{i}left({beta }^{j+k}left(a)){d}_{j}left({beta }^{k}left({alpha }^{i}left({b}^{{ast }^{i}}))){d}_{k}left({alpha }^{i+j}left({a}^{{ast }^{i+j}})) ) for all a , b ∈ R a,bin R and each n ∈ N 0 nin {{mathbb{N}}}_{0} . We show that the two notions of Jordan ( α , β ) left(alpha ,beta ) -higher ∗ ast -derivation and Jordan triple ( α , β ) left(alpha ,beta ) -higher ∗ ast -derivation on a 6-torsion free semiprime ∗ ast -ring are equivalent.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41839843","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
On the structure of self-affine Jordan arcs in ℝ2 关于2中自仿射约当弧的结构
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0228
A. Tetenov, Allanazar Kutlimuratov
{"title":"On the structure of self-affine Jordan arcs in ℝ2","authors":"A. Tetenov, Allanazar Kutlimuratov","doi":"10.1515/dema-2022-0228","DOIUrl":"https://doi.org/10.1515/dema-2022-0228","url":null,"abstract":"Abstract We prove that if a self-affine arc γ ∈ R 2 gamma in {{mathbb{R}}}^{2} does not satisfy weak separation condition, then it is a segment of a parabola or a straight line. If a self-affine arc γ gamma is not a segment of a parabola or a line, then it is a component of the attractor of a Jordan multizipper with the same set of generators.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48719458","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
The asymptotic behaviors of solutions for higher-order (m1, m2)-coupled Kirchhoff models with nonlinear strong damping 具有非线性强阻尼的高阶(m1, m2)耦合Kirchhoff模型解的渐近行为
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0197
Penghui Lv, Guoguang Lin, Xiaojun Lv
{"title":"The asymptotic behaviors of solutions for higher-order (m1, m2)-coupled Kirchhoff models with nonlinear strong damping","authors":"Penghui Lv, Guoguang Lin, Xiaojun Lv","doi":"10.1515/dema-2022-0197","DOIUrl":"https://doi.org/10.1515/dema-2022-0197","url":null,"abstract":"Abstract The Kirchhoff model is derived from the vibration problem of stretchable strings. This article focuses on the long-time dynamics of a class of higher-order coupled Kirchhoff systems with nonlinear strong damping. The existence and uniqueness of the solutions of these equations in different spaces are proved by prior estimation and the Faedo-Galerkin method. Subsequently, the family of global attractors of these problems is proved using the compactness theorem. In this article, we systematically propose the definition and proof process of the family of global attractors and enrich the related conclusions of higher-order coupled Kirchhoff models. The conclusions lay a theoretical foundation for future practical applications.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46954030","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
On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative 关于一个新的广义保形分数导数设置中的一些保形边值问题
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0212
M. Vivas-Cortez, Martin Patricio Árciga, Juan Carlos Najera, J. E. Hernández
{"title":"On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative","authors":"M. Vivas-Cortez, Martin Patricio Árciga, Juan Carlos Najera, J. E. Hernández","doi":"10.1515/dema-2022-0212","DOIUrl":"https://doi.org/10.1515/dema-2022-0212","url":null,"abstract":"Abstract The fundamental objective of this article is to investigate about the boundary value problem with the uses of a generalized conformable fractional derivative introduced by Zarikaya et al. (On generalized the conformable calculus, TWMS J. App. Eng. Math. 9 (2019), no. 4, 792–799, http://jaem.isikun.edu.tr/web/images/articles/vol.9.no.4/11.pdf). In the development of the this article, by using classical methods of fractional calculus, we find a definition of the generalized fractional Wronskian according to the fractional differential operator defined by Zarikaya, a fractional version of the Sturm-Picone theorem, and in addition, the stability criterion given by the Hyers-Ulam theorem is studied with the use of the aforementioned fractional derivatives.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46178643","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
A novel conservative numerical approximation scheme for the Rosenau-Kawahara equation Rosenau-Kawahara方程的一种新的保守数值逼近格式
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0204
Xin-tian Pan, Lu-ming Zhang
{"title":"A novel conservative numerical approximation scheme for the Rosenau-Kawahara equation","authors":"Xin-tian Pan, Lu-ming Zhang","doi":"10.1515/dema-2022-0204","DOIUrl":"https://doi.org/10.1515/dema-2022-0204","url":null,"abstract":"Abstract In this article, a numerical solution for the Rosenau-Kawahara equation is considered. A new conservative numerical approximation scheme is presented to solve the initial boundary value problem of the Rosenau-Kawahara equation, which preserves the original conservative properties. The proposed scheme is based on the finite difference method. The existence of the numerical solutions for the scheme has been shown by Browder fixed point theorem. The priori bound and error estimates, as well as the conservation of discrete mass and discrete energy for the finite difference solutions, are discussed. The discrepancies of discrete mass and energy are computed and shown by the curves of these quantities over time. Unconditional stability, second-order convergence, and uniqueness of the scheme are proved based on the discrete energy method. Numerical examples are given to show the effectiveness of the proposed scheme and confirm the theoretical analysis.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43806192","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
Global optimum solutions for a system of (k, ψ)-Hilfer fractional differential equations: Best proximity point approach 一类(k， ψ)-Hilfer分数阶微分方程系统的全局最优解:最佳邻近点法
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0253
P. Patle, M. Gabeleh, M. de La Sen
{"title":"Global optimum solutions for a system of (k, ψ)-Hilfer fractional differential equations: Best proximity point approach","authors":"P. Patle, M. Gabeleh, M. de La Sen","doi":"10.1515/dema-2022-0253","DOIUrl":"https://doi.org/10.1515/dema-2022-0253","url":null,"abstract":"Abstract In this article, a class of cyclic (noncyclic) operators are defined on Banach spaces via concept of measure of noncompactness using some abstract functions. The best proximity point (pair) results are manifested for the said operators. The obtained main results are applied to demonstrate the existence of optimum solutions of a system of fractional differential equations involving ( k , ψ ) left(k,psi ) -Hilfer fractional derivatives.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42883235","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
Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals k-分数积分r次可微前凸函数的加权Hermite-Hadamard不等式
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0254
F. Zafar, S. Mehmood, A. Asiri
{"title":"Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals","authors":"F. Zafar, S. Mehmood, A. Asiri","doi":"10.1515/dema-2022-0254","DOIUrl":"https://doi.org/10.1515/dema-2022-0254","url":null,"abstract":"Abstract In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for k k -fractional integrals involving r r -times differentiable preinvex functions. It is noteworthy that in the past, there was no weighted version of the left and right sides of the Hermite-Hadamard inequality for k k -fractional integrals for generalized convex functions available in the literature.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48308078","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
Phase portraits of two classes of quadratic differential systems exhibiting as solutions two cubic algebraic curves 以两条三次代数曲线为解的两类二次微分系统的相图
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0218
R. Benterki, Ahlam Belfar
{"title":"Phase portraits of two classes of quadratic differential systems exhibiting as solutions two cubic algebraic curves","authors":"R. Benterki, Ahlam Belfar","doi":"10.1515/dema-2022-0218","DOIUrl":"https://doi.org/10.1515/dema-2022-0218","url":null,"abstract":"Abstract The classification of the phase portraits is one of the classical and difficult problems in the qualitative theory of polynomial differential systems in R 2 {{mathbb{R}}}^{2} , particularly for quadratic systems. Even with the hundreds of studies on the topology of real planar quadratic vector fields, fully characterizing their phase portraits is still a difficult problem. This paper is devoted to classifying the phase portraits of two polynomial vector fields with two usual invariant algebraic curves, by investigating the geometric solutions within the Poincaré disc. One can notice that these systems yield 26 topologically different phase portraits.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48541728","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
Graded weakly 1-absorbing primary ideals 分级弱吸收初级理想
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0214
M. Bataineh, R. Abu-Dawwas
{"title":"Graded weakly 1-absorbing primary ideals","authors":"M. Bataineh, R. Abu-Dawwas","doi":"10.1515/dema-2022-0214","DOIUrl":"https://doi.org/10.1515/dema-2022-0214","url":null,"abstract":"Abstract Let G G be a group and R R be a G G -graded commutative ring with nonzero unity 1. In this article, we introduce the concept of graded weakly 1-absorbing primary ideals which is a generalization of graded 1-absorbing primary ideal. A proper graded ideal P P of R R is said to be a graded weakly 1-absorbing primary ideal of R R if whenever nonunit elements x , y , z ∈ h ( R ) x,y,zin hleft(R) such that 0 ≠ x y z ∈ P 0ne xyzin P , then x y ∈ P xyin P or z n ∈ P {z}^{n}in P , for some n ∈ N nin {mathbb{N}} . Several properties of graded weakly 1-absorbing primary ideals are investigated.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"56 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67144060","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: 1
Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces 各向异性洛伦兹空间中Boussinesq方程的速度水平分量正则性准则
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0221
R. Agarwal, Ahmad M. Alghamdi, S. Gala, M. Ragusa
{"title":"Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces","authors":"R. Agarwal, Ahmad M. Alghamdi, S. Gala, M. Ragusa","doi":"10.1515/dema-2022-0221","DOIUrl":"https://doi.org/10.1515/dema-2022-0221","url":null,"abstract":"Abstract In this article, we study the regularity criteria of the weak solutions to the Boussinesq equations involving the horizontal component of velocity or the horizontal derivatives of the two components of velocity in anisotropic Lorentz spaces. This result reveals that the velocity field plays a dominant role in regularity theory of the Boussinesq equations.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46151945","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
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