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On certain classes of bi-univalent functions related to m-fold symmetry 论与m-褶对称有关的双一价函数的若干类
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-03-17 DOI: 10.22436/JNSA.011.04.06
S. Hussain, Shahid Khan, M. A. Zaighum, M. Darus
{"title":"On certain classes of bi-univalent functions related to m-fold symmetry","authors":"S. Hussain, Shahid Khan, M. A. Zaighum, M. Darus","doi":"10.22436/JNSA.011.04.06","DOIUrl":"https://doi.org/10.22436/JNSA.011.04.06","url":null,"abstract":"In our present investigation, we introduce two new subclasses SΣm(α, λ,μ) and SΣm(β, λ,μ) of analytic and m-fold symmetric bi-univalent functions in the open unit disk E. Results concerning coefficient estimates for the functions of these classes are derived. Many interesting new and already existing corollaries are also presented.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86919423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Dynamics of the fuzzy difference equation z n = max { 1 z n − m , α n z n − r } 模糊差分方程z n = max {1 z n−m， α n z n−r}的动力学
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-03-16 DOI: 10.22436/JNSA.011.04.04
T. Sun, H. Xi, G. Su, Bin Qin
{"title":"Dynamics of the fuzzy difference equation z n = max { 1 z n − m , α n z n − r }","authors":"T. Sun, H. Xi, G. Su, Bin Qin","doi":"10.22436/JNSA.011.04.04","DOIUrl":"https://doi.org/10.22436/JNSA.011.04.04","url":null,"abstract":"","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76070279","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Properties of hyperholomorphic functions and integrals for commutative-quaternionic valued functions 超全纯函数的性质及交换四元数值函数的积分
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-03-13 DOI: 10.22436/jnsa.011.04.03
Ji Eun Kim
{"title":"Properties of hyperholomorphic functions and integrals for commutative-quaternionic valued functions","authors":"Ji Eun Kim","doi":"10.22436/jnsa.011.04.03","DOIUrl":"https://doi.org/10.22436/jnsa.011.04.03","url":null,"abstract":"","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81382337","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Some reverse Hölder inequalities with Specht's ratio on time scales 一些反向Hölder不平等与斯佩克特比率在时间尺度上
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-03-10 DOI: 10.22436/JNSA.011.04.01
A. El-Deeb, H. A. Elsennary, W. Cheung
{"title":"Some reverse Hölder inequalities with Specht's ratio on time scales","authors":"A. El-Deeb, H. A. Elsennary, W. Cheung","doi":"10.22436/JNSA.011.04.01","DOIUrl":"https://doi.org/10.22436/JNSA.011.04.01","url":null,"abstract":"In this article, we investigate some new reverse Hölder-type inequalities on an arbitrary time scale via the diamond-α dynamic integral, which is defined as a linear combination of the delta and nabla integrals. These inequalities extend some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete analogues.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91038590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 24
Stability of pathogen dynamics models with viral and cellular infections and immune impairment 病毒和细胞感染和免疫损伤的病原体动力学模型的稳定性
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-03-10 DOI: 10.22436/JNSA.011.04.02
A. Elaiw, A. A. Raezah, B. S. Alofi
{"title":"Stability of pathogen dynamics models with viral and cellular infections and immune impairment","authors":"A. Elaiw, A. A. Raezah, B. S. Alofi","doi":"10.22436/JNSA.011.04.02","DOIUrl":"https://doi.org/10.22436/JNSA.011.04.02","url":null,"abstract":"We study the global stability analysis of pathogen infection models with immune impairment. Both pathogen-to-susceptible and infected-to-susceptible transmissions have been considered. We drive the basic reproduction parameter R0, which determines the global dynamics of models. Using the method of Lyapunov function, we established the global stability of the steady states of the models. Numerical simulations are used to confirm the theoretical results.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76721174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A classification of minimal translation surfaces in Minkowski space 闵可夫斯基空间中最小平移曲面的分类
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-02-28 DOI: 10.22436/jnsa.011.03.12
Dan Yang, Wei Dan, Yu Fu
{"title":"A classification of minimal translation surfaces in Minkowski space","authors":"Dan Yang, Wei Dan, Yu Fu","doi":"10.22436/jnsa.011.03.12","DOIUrl":"https://doi.org/10.22436/jnsa.011.03.12","url":null,"abstract":"Minimal surfaces are well known as a class of surfaces with vanishing mean curvature which minimize area within a given boundary configuration since 19th century. This fact was implicitly proved by Lagrange for nonparametric surfaces in 1760, and then by Meusnier in 1776 who used the analytic expression for the mean curvature. Mathematically, a minimal surface corresponds to the solution of a nonlinear partial differential equation. By solving some differential equations, in this paper we give a complete and explicit classification of minimal translation surfaces in an n-dimensional Minkowski space.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87115837","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Erratum to "On some fixed points of α−ψ contractive mappings with rational expressions, J. Nonlinear Sci. Appl., 10 (2017), 1569 - 1581" “关于α−ψ压缩映射的若干不动点”的勘误，《非线性科学》。达成。， 10(2017)， 1569 - 1581”
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-02-22 DOI: 10.22436/JNSA.011.03.10
E. Karapınar
{"title":"Erratum to \"On some fixed points of α−ψ contractive mappings with rational expressions, J. Nonlinear Sci. Appl., 10 (2017), 1569 - 1581\"","authors":"E. Karapınar","doi":"10.22436/JNSA.011.03.10","DOIUrl":"https://doi.org/10.22436/JNSA.011.03.10","url":null,"abstract":"","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89453310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The uniqueness of solution for initial value problems for fractional differential equation involving the Caputo-Fabrizio derivative 含Caputo-Fabrizio导数的分数阶微分方程初值问题解的唯一性
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-02-22 DOI: 10.22436/JNSA.011.03.11
Shuqin Zhang, Lei Hu, Sujing Sun
{"title":"The uniqueness of solution for initial value problems for fractional differential equation involving the Caputo-Fabrizio derivative","authors":"Shuqin Zhang, Lei Hu, Sujing Sun","doi":"10.22436/JNSA.011.03.11","DOIUrl":"https://doi.org/10.22436/JNSA.011.03.11","url":null,"abstract":"In this paper, we study some results about the expression of solutions to some linear differential equations for the CaputoFabrizio fractional derivative. Furthermore, by the Banach contraction principle, the unique existence of the solution to an initial value problem for nonlinear differential equation involving the Caputo-Fabrizio fractional derivative is obtained.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88752019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Fixed point belonging to the zero-set of a given function 属于给定函数的零集的不动点
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-02-22 DOI: 10.22436/jnsa.011.03.09
F. Vetro
{"title":"Fixed point belonging to the zero-set of a given function","authors":"F. Vetro","doi":"10.22436/jnsa.011.03.09","DOIUrl":"https://doi.org/10.22436/jnsa.011.03.09","url":null,"abstract":"We prove the existence and uniqueness of fixed point belonging to the zero-set of a given function. The results are established in the setting of metric spaces and partial metric spaces. Our approach combines the recent notions of (F,φ)contraction and Z-contraction. The main result allows to deduce, as a particular case, some of the most known results in the literature. An example supports the theory.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91506986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Simultaneous iteration for variational inequalities over common solutions for finite families of nonlinear problems 有限族非线性问题公解上变分不等式的同时迭代
The Journal of Nonlinear Sciences and Applications Pub Date : 2018-02-16 DOI: 10.22436/JNSA.011.03.08
Lai-Jiu Lin
{"title":"Simultaneous iteration for variational inequalities over common solutions for finite families of nonlinear problems","authors":"Lai-Jiu Lin","doi":"10.22436/JNSA.011.03.08","DOIUrl":"https://doi.org/10.22436/JNSA.011.03.08","url":null,"abstract":"In this paper, we apply Theorem 3.2 of [G. M. Lee, L.-J. Lin, J. Nonlinear Convex Anal., 18 (2017), 1781–1800] to study the variational inequality over split equality fixed point problems for three finite families of strongly quasi-nonexpansive mappings. Then we use this result to study variational inequalities over split equality for three various finite families of nonlinear mappings. We give a unified method to study split equality for three various finite families of nonlinear problems. Our results contain many results on split equality fixed point problems and multiple sets split feasibility problems as special cases. Our results can treat large scale of nonlinear problems by group these problems into finite families of nonlinear problems, then we use simultaneous iteration to find the solutions of these problems. Our results will give a simple and quick method to study large scale of nonlinear problems and will have many applications to study large scale of nonlinear problems.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89552673","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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