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A higher order nonlinear neutral differential equation 一个高阶非线性中立型微分方程
Journal of Nonlinear Sciences and Applications Pub Date : 2019-06-14 DOI: 10.22436/JNSA.012.10.06
G. Jiang, Weiling Sun, Z. An, Liangshi Zhao
{"title":"A higher order nonlinear neutral differential equation","authors":"G. Jiang, Weiling Sun, Z. An, Liangshi Zhao","doi":"10.22436/JNSA.012.10.06","DOIUrl":"https://doi.org/10.22436/JNSA.012.10.06","url":null,"abstract":"This paper is concerned with the higher order nonlinear neutral differential equation [a(t)(x(t) + b(t)x(τ(t))) ′](n−1) + f(t, x(g1(t)), . . . , x(gk(t))) = c(t), t > t0. By dint of the Leray-Schauder nonlinear alternative, Rothe fixed point theorem and some new techniques, we prove the existence of uncountably many bounded positive solutions for the equation. Several nontrivial examples are given to illustrate the applications and advantages of the results presented in this paper.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75099597","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
Fixed point theorems for Θ-contractions in left K-complete T1-quasi metric space 左k完全t1 -拟度量空间中Θ-contractions的不动点定理
Journal of Nonlinear Sciences and Applications Pub Date : 2019-06-14 DOI: 10.22436/JNSA.012.10.05
Durdana Lateef, Jamshaid Ahmad
{"title":"Fixed point theorems for Θ-contractions in left K-complete T1-quasi metric space","authors":"Durdana Lateef, Jamshaid Ahmad","doi":"10.22436/JNSA.012.10.05","DOIUrl":"https://doi.org/10.22436/JNSA.012.10.05","url":null,"abstract":"The aim of this paper is to define Θβ = { v ∈ J u : Θ($(u, v)) ≤ [Θ($(u,J u))]β } and establish some new fixed point theorems in the setting of left K-complete T1-quasi metric space. Our theorems generalize, extend, and unify several results of literature.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85069592","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
Common fixed point of generalized cyclic Banach algebra contractions and Banach algebra Kannan types of mappings on cone quasi metric spaces 广义循环巴拿赫代数的公共不动点和锥拟度量空间上巴拿赫代数的Kannan型映射
Journal of Nonlinear Sciences and Applications Pub Date : 2019-06-10 DOI: 10.22436/JNSA.012.10.03
Sahar Mohamed Ali Abou Bakr
{"title":"Common fixed point of generalized cyclic Banach algebra contractions and Banach algebra Kannan types of mappings on cone quasi metric spaces","authors":"Sahar Mohamed Ali Abou Bakr","doi":"10.22436/JNSA.012.10.03","DOIUrl":"https://doi.org/10.22436/JNSA.012.10.03","url":null,"abstract":"This paper proves the existence of a unique common fixed point of two self mappings defined on complete cone quasi metric space C with respect to Banach algebra, consequently in particular, it proves the existence of only one fixed point of a generalized cyclic Banach algebra contraction and a cyclic Banach algebra Kannan type mappings with respect to a couple of non empty subsets (A,B) of a complete cone quasi metric space C. These existences extend the fixed point results of the attached references and then generalized the corresponding classical results in usual Banach spaces as well.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85398803","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: 4
O1-convergence in partially ordered sets 部分有序集合中的0 -收敛性
Journal of Nonlinear Sciences and Applications Pub Date : 2019-05-30 DOI: 10.22436/JNSA.012.10.02
Tao Sun, Qingguo Li, Nianbai Fan
{"title":"O1-convergence in partially ordered sets","authors":"Tao Sun, Qingguo Li, Nianbai Fan","doi":"10.22436/JNSA.012.10.02","DOIUrl":"https://doi.org/10.22436/JNSA.012.10.02","url":null,"abstract":"","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77579620","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
Hybrid iterative methods for two asymptotically nonexpansive semigroups in Hilbert spaces Hilbert空间中两个渐近非扩张半群的混合迭代方法
Journal of Nonlinear Sciences and Applications Pub Date : 2019-05-30 DOI: 10.22436/JNSA.012.10.01
I. Inchan
{"title":"Hybrid iterative methods for two asymptotically nonexpansive semigroups in Hilbert spaces","authors":"I. Inchan","doi":"10.22436/JNSA.012.10.01","DOIUrl":"https://doi.org/10.22436/JNSA.012.10.01","url":null,"abstract":"The main objective of this work is to modify two hybrid projection algorithm. First, we prove the strongly convergence to common fixed points of a sequence {xn} generated by the hybrid projection algorithm of two asymptotically nonexpansive mappings, second, we prove the strongly convergence of a sequence {xn} generated by the hybrid projection algorithm of two asymptotically nonexpansive semigroups. Our main results extend and improve the results of Dong et al. [Q.-L. Dong, S. N. He, Y. J. Cho, Fixed Point Theory Appl., 2015 (2015), 12 pages].","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89882904","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
Real fixed points and singular values of family of functions arising from generating function of unified generalized Apostol-type polynomials 统一广义阿普斯托型多项式的生成函数所产生的函数族的实不动点和奇异值
Journal of Nonlinear Sciences and Applications Pub Date : 2019-05-06 DOI: 10.22436/JNSA.012.09.05
Mohammad Sajid
{"title":"Real fixed points and singular values of family of functions arising from generating function of unified generalized Apostol-type polynomials","authors":"Mohammad Sajid","doi":"10.22436/JNSA.012.09.05","DOIUrl":"https://doi.org/10.22436/JNSA.012.09.05","url":null,"abstract":"Our main objective is to study the real fixed points and singular values of a two-parameter family of transcendental meromorphic functions gλ,n(z) = λ z (bz−1)n , λ ∈ R{0}, z ∈ C{0}, n ∈ N{1}, b > 0, b 6= 1 in the present paper which obtains from generating function of the unified generalized Apostol-type polynomials. The real fixed points of gλ,n(x), x ∈ R {0} with their stability are found for n odd and n even. It is shown that gλ,n(z) has infinite number of singular values. Further, it is seen that some critical values of gλ,n(z) lie in the closure of the disk and other lie in the exterior of the disk with center at the origin.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"108 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86710822","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
Coincidence points of self mappings and left total relations 自映射和左总关系的重合点
Journal of Nonlinear Sciences and Applications Pub Date : 2019-05-03 DOI: 10.22436/JNSA.012.09.03
L. Alnaser, Durdana Lateef, Hoda A. Fouad, Jamshaid Ahmad
{"title":"Coincidence points of self mappings and left total relations","authors":"L. Alnaser, Durdana Lateef, Hoda A. Fouad, Jamshaid Ahmad","doi":"10.22436/JNSA.012.09.03","DOIUrl":"https://doi.org/10.22436/JNSA.012.09.03","url":null,"abstract":"The aim of this article is to prove some coincidence and fixed point theorems of hybrid contractions involving left total relations and single-valued mappings in the setting of F-metric spaces which was first introduced by Jleli and Samet [M. Jleli, B. Samet, J. Fixed Point Theory Appl., 20 (2018), 20 pages]. Finally, an example is also presented to verify the effectiveness and applicability of our main results.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87958715","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
Semi-analytical solutions for the delayed and diffusive viral infection model with logistic growth 具有logistic增长的延迟扩散病毒感染模型的半解析解
Journal of Nonlinear Sciences and Applications Pub Date : 2019-05-03 DOI: 10.22436/JNSA.012.09.04
H. Alfifi
{"title":"Semi-analytical solutions for the delayed and diffusive viral infection model with logistic growth","authors":"H. Alfifi","doi":"10.22436/JNSA.012.09.04","DOIUrl":"https://doi.org/10.22436/JNSA.012.09.04","url":null,"abstract":"In the one-dimensional reaction-diffusion domain of this study, semi-analytical solutions are used for a delayed viral infection system with logistic growth. Through an ordinary differential equations system, the Galerkin technique is believed to estimate the prevailing partial differential equations. In addition, Hopf bifurcation maps are constructed. The effect of diffusion coefficient stricture and delay on the model is comprehensively investigated, and the outcomes demonstrate that diffusion and delay can stabilize or destabilize the system. We found that, as the delay parameter values rise, the values of the Hopf bifurcations for growth and the rates of viral death are augmented, whereas the rate of production is decreased. For the growth, production, and death rates strictures, there is determination of an asymptotically unstable region and a stable region. Illustrations of the unstable and stable limit cycles, as well as the Hopf bifurcation points, are found to prove the formerly revealed outcomes in the Hopf bifurcation map. The results of the semi-analytical solutions and numerical assessments revealed that the semi-analytical solutions are highly effective.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75463908","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: 7
Continuous dependence solutions for Hilfer fractional differential equations with nonlocal conditions 非局部条件下Hilfer分数阶微分方程的连续相关解
Journal of Nonlinear Sciences and Applications Pub Date : 2019-04-17 DOI: 10.22436/JNSA.012.09.02
M. Abbas
{"title":"Continuous dependence solutions for Hilfer fractional differential equations with nonlocal conditions","authors":"M. Abbas","doi":"10.22436/JNSA.012.09.02","DOIUrl":"https://doi.org/10.22436/JNSA.012.09.02","url":null,"abstract":"We discuss the existence, uniqueness and continuous dependence of solution for a non-autonomous semilinear Hilfer fractional differential equation with nonlocal conditions in the space of weighted continuous functions. By means of the Krasnoselskii’s fixed point theorem and the generalized Gronwall’s inequality, we establish the desired results.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"114 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77601008","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: 3
Stability analysis of the generalized fractional differential equations with and without exogenous inputs 有无外源输入的广义分数阶微分方程的稳定性分析
Journal of Nonlinear Sciences and Applications Pub Date : 2019-04-12 DOI: 10.22436/JNSA.012.09.01
N. Sene
{"title":"Stability analysis of the generalized fractional differential equations with and without exogenous inputs","authors":"N. Sene","doi":"10.22436/JNSA.012.09.01","DOIUrl":"https://doi.org/10.22436/JNSA.012.09.01","url":null,"abstract":"","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89106313","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: 44
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