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A system of additive functional equations in complex Banach algebras 复Banach代数中的一个可加函数方程组
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0165
Siriluk Paokanta, Mehdi Dehghanian, Choonkil Park, Y. Sayyari
{"title":"A system of additive functional equations in complex Banach algebras","authors":"Siriluk Paokanta, Mehdi Dehghanian, Choonkil Park, Y. Sayyari","doi":"10.1515/dema-2022-0165","DOIUrl":"https://doi.org/10.1515/dema-2022-0165","url":null,"abstract":"Abstract In this article, we solve the system of additive functional equations: 2 f ( x + y ) − g ( x ) = g ( y ) , g ( x + y ) − 2 f ( y − x ) = 4 f ( x ) left{phantom{rule[-1.25em]{}{0ex}}begin{array}{l}2fleft(x+y)-gleft(x)=g(y), gleft(x+y)-2f(y-x)=4fleft(x)end{array}right. and prove the Hyers-Ulam stability of the system of additive functional equations in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of f f -hom-ders in Banach algebras.","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":"41579852","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
Three solutions for discrete anisotropic Kirchhoff-type problems 离散各向异性Kirchhoff型问题的三种解法
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0209
M. Bohner, G. Caristi, Ahmad Ghobadi, S. Heidarkhani
{"title":"Three solutions for discrete anisotropic Kirchhoff-type problems","authors":"M. Bohner, G. Caristi, Ahmad Ghobadi, S. Heidarkhani","doi":"10.1515/dema-2022-0209","DOIUrl":"https://doi.org/10.1515/dema-2022-0209","url":null,"abstract":"Abstract In this article, using critical point theory and variational methods, we investigate the existence of at least three solutions for a class of double eigenvalue discrete anisotropic Kirchhoff-type problems. An example is presented to demonstrate the applicability of our main theoretical findings.","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":"45842083","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
Solvability for a system of Hadamard-type hybrid fractional differential inclusions Hadamard型混合分数微分包含系统的可解性
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0226
Keyu Zhang, Jiafa Xu
{"title":"Solvability for a system of Hadamard-type hybrid fractional differential inclusions","authors":"Keyu Zhang, Jiafa Xu","doi":"10.1515/dema-2022-0226","DOIUrl":"https://doi.org/10.1515/dema-2022-0226","url":null,"abstract":"Abstract In this article, a new system of Hadamard-type hybrid fractional differential inclusions equipped with Dirichlet boundary conditions was constructed. By virtue of a fixed-point theorem due to B. C. Dhage, (Existence results for neutral functional differential inclusions in Banach algebras, Nonlinear Anal. 64 (2006), no. 6, 1290–1306, doi: https://doi.org/10.1016/j.na.2005.06.036), the existence results of solutions for the considered problem are derived in a new norm space for multivalued maps. A numerical example is provided to illustrate our main results.","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":"44031533","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
Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in ℂn 在Reinhardt域上定义的一类生物全纯映射的齐次展开式的一些结果
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0242
Xiaoying Sima, Z. Tu, L. Xiong
{"title":"Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in ℂn","authors":"Xiaoying Sima, Z. Tu, L. Xiong","doi":"10.1515/dema-2022-0242","DOIUrl":"https://doi.org/10.1515/dema-2022-0242","url":null,"abstract":"Abstract Let S γ , A , B ∗ ( D ) {S}_{gamma ,A,B}^{ast }left({mathbb{D}}) be the usual class of g g -starlike functions of complex order γ gamma in the unit disk D = { ζ ∈ C : ∣ ζ ∣ < 1 } {mathbb{D}}=left{zeta in {mathbb{C}}:| zeta | lt 1right} , where g ( ζ ) = ( 1 + A ζ ) ∕ ( 1 + B ζ ) gleft(zeta )=left(1+Azeta )/left(1+Bzeta ) , with γ ∈ C { 0 } , − 1 ≤ A < B ≤ 1 , ζ ∈ D gamma leftin {mathbb{C}}backslash left{0right}right,-1le Alt Ble 1,zeta in {mathbb{D}} . First, we obtain the bounds of all the coefficients of homogeneous expansions for the functions f ∈ S γ , A , B ∗ ( D ) fin {S}_{gamma ,A,B}^{ast }left({mathbb{D}}) when ζ = 0 zeta =0 is a zero of order k + 1 k+1 of f ( ζ ) − ζ fleft(zeta )-zeta . Second, we generalize this result to several complex variables by considering the corresponding biholomorphic mappings defined in a bounded complete Reinhardt domain. These main theorems unify and extend many known results.","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":"48565347","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
Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination Fekete-Szegö一类与拟从属相关的非巴齐勒维奇函数的泛函
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0232
S. Shah, S. Al-Sa'di, S. Hussain, Asifa Tasleem, A. Rasheed, I. Cheema, M. Darus
{"title":"Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination","authors":"S. Shah, S. Al-Sa'di, S. Hussain, Asifa Tasleem, A. Rasheed, I. Cheema, M. Darus","doi":"10.1515/dema-2022-0232","DOIUrl":"https://doi.org/10.1515/dema-2022-0232","url":null,"abstract":"Abstract In this article, we study the Fekete-Szegö functional associated with a new class of analytic functions related to the class of bounded turning by using the principle of quasi-subordination. We derived the coefficient estimates including the classical Fekete-Szegö inequality for functions belonging to this class. We also improved some existing results.","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":"46121942","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
Semi-Hyers-Ulam-Rassias stability for an integro-differential equation of order 𝓃 一类阶积分微分方程的半Hyers-Ulam-Rasias稳定性𝓃
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0198
D. Inoan, D. Marian
{"title":"Semi-Hyers-Ulam-Rassias stability for an integro-differential equation of order 𝓃","authors":"D. Inoan, D. Marian","doi":"10.1515/dema-2022-0198","DOIUrl":"https://doi.org/10.1515/dema-2022-0198","url":null,"abstract":"Abstract The Laplace transform method is applied in this article to study the semi-Hyers-Ulam-Rassias stability of a Volterra integro-differential equation of order n, with convolution-type kernel. This kind of stability extends the original Hyers-Ulam stability whose study originated in 1940. A general integral equation is formulated first, and then some particular cases (polynomial function and exponential function) for the function from the kernel are considered.","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":"43534986","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
Numerical solution of a malignant invasion model using some finite difference methods 用有限差分法求解恶性侵袭模型
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0244
A. Appadu, Gysbert Nicolaas de Waal
{"title":"Numerical solution of a malignant invasion model using some finite difference methods","authors":"A. Appadu, Gysbert Nicolaas de Waal","doi":"10.1515/dema-2022-0244","DOIUrl":"https://doi.org/10.1515/dema-2022-0244","url":null,"abstract":"Abstract In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified initial and boundary conditions, and no exact solution is known for this problem. It is difficult to obtain theoretically the stability region of the classical finite difference scheme to solve the set of nonlinear coupled PDEs, this is one of the challenges of this class of method in this work. Three nonstandard methods abbreviated as NSFD1, NSFD2, and NSFD3 are considered from the study of Chapwanya et al., and these methods have been constructed by the use of a more general function replacing the denominator of the discrete derivative and nonlocal approximations of nonlocal terms. It is shown that NSFD1, which preserves positivity when used to solve classical reaction-diffusion equations, does not inherit this property when used for the cross-diffusion system of PDEs. NSFD2 and NSFD3 are obtained by appropriate modifications of NSFD1. NSFD2 is positivity-preserving when the functional relationship [ ψ ( h ) ] 2 = 2 ϕ ( k ) {left[psi left(h)]}^{2}=2phi left(k) holds, while NSFD3 is unconditionally dynamically consistent with respect to positivity. First, we show that NSFD2 and NSFD3 are not consistent methods. Second, we tried to modify NSFD2 in order to make it consistent but we were not successful. Third, we extend NSFD3 so that it becomes consistent and still preserves positivity. We denote the extended version of NSFD3 as NSFD5. Finally, we compute the numerical rate of convergence in time for NSFD5 and show that it is close to the theoretical value. NSFD5 is consistent under certain conditions on the step sizes and is unconditionally positivity-preserving.","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":"46209462","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 cross-border e-commerce platform selection based on the probabilistic dual hesitant fuzzy generalized dice similarity measures 基于概率对偶犹豫模糊广义骰子相似测度的跨境电商平台选择
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0239
Baoquan Ning, G. Wei
{"title":"The cross-border e-commerce platform selection based on the probabilistic dual hesitant fuzzy generalized dice similarity measures","authors":"Baoquan Ning, G. Wei","doi":"10.1515/dema-2022-0239","DOIUrl":"https://doi.org/10.1515/dema-2022-0239","url":null,"abstract":"Abstract Cross-border e-commerce platform (CBECP) plays a very important role in the development of a cross-border e-commerce (CBEC). How to select the best CBECP scientifically and reasonably is a very critical multi-attribute group decision-making (MAGDM) issue. With the uncertainty of people’s cognition of the objective world, the decision-making process is full of a lot of fuzzy information. In view of the great advantages of probabilistic dual hesitation fuzzy set (FS) in expressing decision-making information, and in combination with the very extensive use of the Dice similarity measure (DSM), a new MAGDM method is proposed for the optimal CBECP selection (CBECPS) under the probabilistic dual hesitation fuzzy (PDHF) environment. First, on the basis of reviewing a large number of documents on the CBECPS for CBEC, the evaluation index system for the CBECPS is constructed; second, several new DSMs are proposed in the PDHF environment; third, based on the two newly proposed probabilistic dual hesitant weighted generalized Dice similarity measures, two novel MAGDM methods are provided for CBECPS, which are used for CBECPS; finally, the two established MAGDM techniques are compared with the existing decision-making methods, and the parameter analysis is carried out to illustrate the effectiveness and superiority of the two established MAGDM techniques. The two established techniques can not only be used for CBECPS of CBEC, but also be extended to similar related research.","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":"43632248","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
Common best proximity points for a pair of mappings with certain dominating property 具有一定支配性质的一对映射的公共最佳邻近点
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0215
P. Charoensawan, Supreedee Dangskul, P. Varnakovida
{"title":"Common best proximity points for a pair of mappings with certain dominating property","authors":"P. Charoensawan, Supreedee Dangskul, P. Varnakovida","doi":"10.1515/dema-2022-0215","DOIUrl":"https://doi.org/10.1515/dema-2022-0215","url":null,"abstract":"Abstract This article introduces a type of dominating property, partially inherited from L. Chen’s, and proves an existence and uniqueness theorem concerning common best proximity points. A certain kind of boundary value problem involving the so-called Caputo derivative can be formulated so that our result applies.","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":"43984511","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
Investigation of hybrid fractional q-integro-difference equations supplemented with nonlocal q-integral boundary conditions 含非局部q积分边界条件的混合分数阶q积分差分方程的研究
IF 2 3区 数学
Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0222
A. Alsaedi, B. Ahmad, H. Al-Hutami, Boshra Alharbi
{"title":"Investigation of hybrid fractional q-integro-difference equations supplemented with nonlocal q-integral boundary conditions","authors":"A. Alsaedi, B. Ahmad, H. Al-Hutami, Boshra Alharbi","doi":"10.1515/dema-2022-0222","DOIUrl":"https://doi.org/10.1515/dema-2022-0222","url":null,"abstract":"Abstract In this article, we introduce and study a new class of hybrid fractional q q -integro-difference equations involving Riemann-Liouville q q -derivatives, supplemented with nonlocal boundary conditions containing Riemann-Liouville q q -integrals of different orders. The existence of a unique solution to the given problem is shown by applying Banach’s fixed point theorem. We also present the existing criteria for solutions to the problem at hand by applying Krasnoselskii’s fixed point theorem and Leray-Schauder’s nonlinear alternative. Illustrative examples are given to demonstrate the application of the obtained results. Some new results follow as special cases of this work.","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":"44672739","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
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