发布求助
文献互助 智能选刊 最新文献

Nonautonomous Dynamical Systems最新文献

筛选
英文 中文
Periodic solution of a discrete commensal symbiosis model with Hassell-Varley type functional response 具有Hassell-Varley型函数响应的离散共生模型的周期解
Nonautonomous Dynamical Systems Pub Date : 2022-01-01 DOI: 10.1515/msds-2022-0154
Shang-Feng Chen, Y. Chong, Fengde Chen
{"title":"Periodic solution of a discrete commensal symbiosis model with Hassell-Varley type functional response","authors":"Shang-Feng Chen, Y. Chong, Fengde Chen","doi":"10.1515/msds-2022-0154","DOIUrl":"https://doi.org/10.1515/msds-2022-0154","url":null,"abstract":"Abstract A non-autonomous discrete commensal symbiosis model with Hassell-Varley type functional response is proposed and studied in this paper. Sufficient conditions are obtained for the existence of positive periodic solution of the system.","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":"9 1","pages":"170 - 181"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46482561","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
Unbounded rational systems with nonconstant coefficients 非常系数无界有理系统
Nonautonomous Dynamical Systems Pub Date : 2022-01-01 DOI: 10.1515/msds-2022-0160
Z. Kudlak, R. Vernon
{"title":"Unbounded rational systems with nonconstant coefficients","authors":"Z. Kudlak, R. Vernon","doi":"10.1515/msds-2022-0160","DOIUrl":"https://doi.org/10.1515/msds-2022-0160","url":null,"abstract":"Abstract We show the existence of unbounded solutions to difference equations of the form { xn+1=c′nxnBnyn,yn+1=bnxn+cnynAn+Cnyn     for    n=0,1,…, left{ {matrix{{{x_{n + 1}} = {{{{c'}_n}{x_n}} over {{B_n}{y_n}}},} hfill cr {{y_{n + 1}} = {{{b_n}{x_n} + {c_n}{y_n}} over {{A_n} + {C_n}{y_n}}}} hfill cr } ,,,,,for} right.,,,n = 0,1, ldots , where { c′n }n=0∞ left{ {{{c'}_n}} right}_{n = 0}^infty , { B′n }n=0∞ left{ {{{B'}_n}} right}_{n = 0}^infty , { bn }n=0∞ left{ {{b_n}} right}_{n = 0}^infty , { cn }n=0∞ left{ {{c_n}} right}_{n = 0}^infty , and { An }n=0∞ left{ {{A_n}} right}_{n = 0}^infty are all bounded above and below by positive constants, and { Cn }n=0∞ left{ {{C_n}} right}_{n = 0}^infty is either bounded above and below by positive constants or is identically zero. In the latter case, we give an example which can be reduced to a system of the form { xn+1=xnyn,yn+1=xn+γnyn     for    n=0,1,…, left{ {matrix{ {{x_{n + 1}} = {{{x_n}} over {{y_n}}},} hfill cr {{y_{n + 1}} = {x_n} + {gamma _n}{y_n}} hfill cr } ,,,,,for} right.,,,n = 0,1, ldots , where 0 < γ′ < γn < γ < 1 for some constants γ and γ′ for all n. This provides a counterexample to the main result of the 2021 paper by Camouzis and Kotsios.","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":"9 1","pages":"307 - 316"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43583219","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
Periodic Solution for some Class of Linear Partial Differential Equation with infinite Delay using Semi-Fredholm perturbations 一类无限时滞线性偏微分方程的半Fredholm摄动周期解
Nonautonomous Dynamical Systems Pub Date : 2022-01-01 DOI: 10.1515/msds-2022-0150
A. Elazzouzi, K. Ezzinbi, Mohammed Kriche
{"title":"Periodic Solution for some Class of Linear Partial Differential Equation with infinite Delay using Semi-Fredholm perturbations","authors":"A. Elazzouzi, K. Ezzinbi, Mohammed Kriche","doi":"10.1515/msds-2022-0150","DOIUrl":"https://doi.org/10.1515/msds-2022-0150","url":null,"abstract":"Abstract In this work, we study the existence of periodic solutions for a class of linear partial functional differential equations with infinite delay. Inspiring by an existing study, by applying the perturbation theory of semi-Fredholm operators, we introduce a suitable a priori estimate on the norm of the operator L to establish the periodicity of solutions in the case where the linear part is nondensely defined and satisfies the Hille-Yosida condition and without considering the exponential stability condition on the semigroup generated by the part of this operator on the closure of it’s domain. Moreover, in the special case where the linear part generates a strongly continuous semigroup and perturbed by a compact linear operator, we give some sufficient conditions to derive periodic solution from bounded ones. Finally, our theoretical results are illustrated by applications in both densely and nondensely cases.","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":"9 1","pages":"116 - 144"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42296252","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
Oscillation of Second-Order Half-linear Retarded Difference Equations via a Canonical Transform 二阶半线性滞后差分方程的正则变换振动性
Nonautonomous Dynamical Systems Pub Date : 2022-01-01 DOI: 10.1515/msds-2022-0151
R. Srinivasan, S. Saravanan, J. Graef, E. Thandapani
{"title":"Oscillation of Second-Order Half-linear Retarded Difference Equations via a Canonical Transform","authors":"R. Srinivasan, S. Saravanan, J. Graef, E. Thandapani","doi":"10.1515/msds-2022-0151","DOIUrl":"https://doi.org/10.1515/msds-2022-0151","url":null,"abstract":"Abstract The aim of this paper is to investigate the second order half-linear retarded difference equation Δ(μ(n)(Δη(n))α)+δ(n)ηα(σ(n))=0 Delta left( {mu left( n right){{left( {Delta eta left( n right)} right)}^alpha }} right) + delta left( n right){eta ^alpha }left( {sigma left( n right)} right) = 0 under the condition ∑n=n0∞μ−1α(n)<∞  sumlimits_{n = {n_0}}^infty {{mu ^{ - {1 over alpha }}}} left( n right) < infty , (i.e., nonconanical form). Unlike most existing results, the oscillatory behavior of solutions of this equation is attained by transforming it into an equation in canonical form. Particular examples are provided to show the significance of our main results.","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":"9 1","pages":"163 - 169"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43726796","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
Existence of mild solutions for nonlocal ψ−Caputo-type fractional evolution equations with nondense domain 非密集区域非局部ψ−caputo型分数阶演化方程温和解的存在性
Nonautonomous Dynamical Systems Pub Date : 2022-01-01 DOI: 10.1515/msds-2022-0157
Ali El Mfadel, S. Melliani, Abderrazak Kassidi, M. Elomari
{"title":"Existence of mild solutions for nonlocal ψ−Caputo-type fractional evolution equations with nondense domain","authors":"Ali El Mfadel, S. Melliani, Abderrazak Kassidi, M. Elomari","doi":"10.1515/msds-2022-0157","DOIUrl":"https://doi.org/10.1515/msds-2022-0157","url":null,"abstract":"Abstract The main crux of this manuscript is to establish the existence and uniqueness of solutions for nonlocal fractional evolution equations involving ψ−Caputo fractional derivatives of an arbitrary order α ∈ (0, 1) with nondense domain. The mild solutions of our proposed model are constructed by employing generalized ψ−Laplace transform and some new density functions. The proofs are based on Krasnoselskii fixed point theorem and some basic techniques of ψ−fractional calculus. As application, a nontrivial example is given to illustrate our theoritical results.","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":"9 1","pages":"272 - 289"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42905516","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
Existence of solutions for unilateral problems associated to some quasilinear anisotropic elliptic equations with measure data 一类具有测度数据的拟线性各向异性椭圆型方程单边问题解的存在性
Nonautonomous Dynamical Systems Pub Date : 2022-01-01 DOI: 10.1515/msds-2022-0147
Mohammed Al-Hawmi, H. Hjiaj
{"title":"Existence of solutions for unilateral problems associated to some quasilinear anisotropic elliptic equations with measure data","authors":"Mohammed Al-Hawmi, H. Hjiaj","doi":"10.1515/msds-2022-0147","DOIUrl":"https://doi.org/10.1515/msds-2022-0147","url":null,"abstract":"Abstract In this paper, we will study the existence of solutions for some nonlinear anisotropic elliptic equation of the type { Au+g(x,u,∇u)=μ−div φ(u)in Ω,u=0on  ∂Ω, left{ {matrix{{Au + gleft( {x,u,nabla u} right) = mu - div,phi left( u right)} hfill & {in,Omega ,} hfill cr {u = 0} hfill & {on,,partial Omega ,} hfill cr } } right. where Au=−∑i=1N∂∂xiai(x,u,∇u) Au = - sumlimits_{i = 1}^N {{partial over {partial {x_i}}}{a_i}left( {x,u,nabla u} right)} is a Leray-Lions operator, the Carathéodory function g(x, s, ξ) is a nonlinear lower order term that verify some natural growth and sign conditions, where the data µ = f − div F belongs to L1−dual and ϕ (·) ∈ C0(R, RN).","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":"9 1","pages":"68 - 90"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43928003","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
A temperature-dependent mathematical model of malaria transmission with stage-structured mosquito population dynamics 具有阶段结构蚊子种群动态的疟疾传播温度相关数学模型
Nonautonomous Dynamical Systems Pub Date : 2021-01-01 DOI: 10.1515/msds-2020-0138
B. Traoré, M. Barro, B. Sangaré, S. Traoré
{"title":"A temperature-dependent mathematical model of malaria transmission with stage-structured mosquito population dynamics","authors":"B. Traoré, M. Barro, B. Sangaré, S. Traoré","doi":"10.1515/msds-2020-0138","DOIUrl":"https://doi.org/10.1515/msds-2020-0138","url":null,"abstract":"Abstract In this paper, we formulate a temperature-dependent model for malaria transmission dynamics which includes immature stages of mosquitoes. The model is constructed by using ordinary differential equations with some parameters which are periodic functions. Two thresholds dynamics associated to the model have been derived: the vector reproduction ratio ℛv and the basic reproduction ratio ℛ0. Through a rigorous analysis via theories and methods of dynamical systems, we prove that the global behavior of the model depends strongly on these two parameters. More precisely, we show that if ℛv is greater than one and ℛ0 is less than one then, the disease-free periodic equilibrium is globally attractive. If ℛv is greater than one and ℛ0 is greater than one, the disease remains persistent and the system admits at least one positive periodic solution. Finally, using the reported monthly mean temperature for Burkina Faso, numerical simulations are carried out to illustrate our mathematical results.","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":"8 1","pages":"267 - 296"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42189000","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
Non-Oscillating solutions of a generalized system of ODEs with derivative terms 一类具有导数项的广义微分方程系统的非振荡解
Nonautonomous Dynamical Systems Pub Date : 2021-01-01 DOI: 10.1515/msds-2020-0136
B. Bharadwaj, P. K. Baruah
{"title":"Non-Oscillating solutions of a generalized system of ODEs with derivative terms","authors":"B. Bharadwaj, P. K. Baruah","doi":"10.1515/msds-2020-0136","DOIUrl":"https://doi.org/10.1515/msds-2020-0136","url":null,"abstract":"Abstract We consider a system of ODEs of mixed order with derivative terms appearing in the non-linear function and show the existence of a solution which does not oscillate for such system. We applied the fixed point technique to show that under certain conditions there exists at least one solution to the system which is not only non-oscillating, but also asymptotically constant.","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":"8 1","pages":"239 - 250"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44340525","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
Faedo-Galerkin approximation of mild solutions of fractional functional differential equations 分数阶泛函微分方程温和解的Faedo-Galerkin近似
Nonautonomous Dynamical Systems Pub Date : 2021-01-01 DOI: 10.1515/msds-2020-0122
J. Sousa, Michal Feckan, E. C. de Oliveira
{"title":"Faedo-Galerkin approximation of mild solutions of fractional functional differential equations","authors":"J. Sousa, Michal Feckan, E. C. de Oliveira","doi":"10.1515/msds-2020-0122","DOIUrl":"https://doi.org/10.1515/msds-2020-0122","url":null,"abstract":"Abstract In the paper, we discuss the existence and uniqueness of mild solutions of a class of fractional functional differential equations in Hilbert space separable using the Banach fixed point theorem technique. In this sense, Faedo-Galerkin approximation to the solution is studied and demonstrated some convergence results.","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":"8 1","pages":"1 - 17"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/msds-2020-0122","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49266483","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
Positive solutions of nonlinear fourth order iterative differential equations with two-point and integral boundary conditions 具有两点和积分边界条件的非线性四阶迭代微分方程的正解
Nonautonomous Dynamical Systems Pub Date : 2021-01-01 DOI: 10.1515/msds-2020-0139
Bouzid Mansouri, A. Ardjouni, A. Djoudi
{"title":"Positive solutions of nonlinear fourth order iterative differential equations with two-point and integral boundary conditions","authors":"Bouzid Mansouri, A. Ardjouni, A. Djoudi","doi":"10.1515/msds-2020-0139","DOIUrl":"https://doi.org/10.1515/msds-2020-0139","url":null,"abstract":"Abstract This paper provides sufficient conditions to guarantee the existence, uniqueness and continuous dependence of positive solutions of a nonlinear fourth order iterative differential equations with two-point and integral boundary conditions. The main arguments are based on the Schauder fixed point theorem to prove the existence of a positive solution. As an application, we given an example to illustrate the obtained results.","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":"8 1","pages":"297 - 306"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47202364","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信
小红书