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Nonlinear Analysis and Differential Equations最新文献

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Global well-posedness in Besov-Morrey space for a two-species chemotaxis model with two chemicals 具有两种化学物质的两种趋化性模型在Besov-Morrey空间的全局适定性
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/nade.2023.91143
Fan Zhang
{"title":"Global well-posedness in Besov-Morrey space for a two-species chemotaxis model with two chemicals","authors":"Fan Zhang","doi":"10.12988/nade.2023.91143","DOIUrl":"https://doi.org/10.12988/nade.2023.91143","url":null,"abstract":"In this paper, we study the Cauchy problem for a two-species chemotaxis model in R N for N ≥ 2. We prove the global well-posedness with small initial data in Besov-Morrey spaces.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126971354","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
Qualitative Theory of Differential Equations and Dynamics of Quadratic Rational Functions 微分方程定性理论与二次有理函数动力学
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2014.3819
Koh Katagata
{"title":"Qualitative Theory of Differential Equations and Dynamics of Quadratic Rational Functions","authors":"Koh Katagata","doi":"10.12988/NADE.2014.3819","DOIUrl":"https://doi.org/10.12988/NADE.2014.3819","url":null,"abstract":"We study the qualitative theory of first order di fferential equations consisting of the iteration of complex quadratic rational functions and we focus on the configuration, namely location and stability, of simple equilibrium points which correspond to periodic points of the quadratic rational functions. Our main tools are properties of Julia sets of the quadratic rational functions and the Euler-Jacobi formula.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"283 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116089946","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
Mean square exponential stability for stochastic functional differential equations with impulses 脉冲随机泛函微分方程的均方指数稳定性
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2013.13002
Nan Ding
{"title":"Mean square exponential stability for stochastic functional differential equations with impulses","authors":"Nan Ding","doi":"10.12988/NADE.2013.13002","DOIUrl":"https://doi.org/10.12988/NADE.2013.13002","url":null,"abstract":"Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, stochastic functional differential equations with impulses are considered. By employing Gronwall-Bellman inequality, the stochastic analytic technique and the properties of operator semigroup, the sufficient conditions ensuring the exponential stability in mean square for mild solution of such system are obtained. Our results can generalize and improve the existing works.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"101 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117277435","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
Global strong solutions to the time-dependent Ginzburg-Landau model in superconductivity with four new gauges 四种新量规超导中随时间变化的金兹堡-朗道模型的全局强解
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2016.6754
Jishan Fan, T. Ozawa
{"title":"Global strong solutions to the time-dependent Ginzburg-Landau model in superconductivity with four new gauges","authors":"Jishan Fan, T. Ozawa","doi":"10.12988/NADE.2016.6754","DOIUrl":"https://doi.org/10.12988/NADE.2016.6754","url":null,"abstract":"We propose new gauge conditions for the time-dependent GinzburgLandau model in superconductivity. The global existence of unique strong solutions is proved for the initial boundary problem for the timedependent Ginzburg-Landau equations in three space dimensions under new gauge conditions. Mathematics Subject Classifications: 35A05, 35A40, 35K55, 82D55","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128304000","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 control policies for control of cancer 一些控制癌症的控制政策
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2016.5932
A. Devi, Aditya Ghosh
{"title":"Some control policies for control of cancer","authors":"A. Devi, Aditya Ghosh","doi":"10.12988/NADE.2016.5932","DOIUrl":"https://doi.org/10.12988/NADE.2016.5932","url":null,"abstract":"","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"330 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124655616","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
An Estimation from within of the Reachable Set of Generalized Nonlinear R. Brockett Integrator with Small Vector Nonlinearity 具有小向量非线性的广义非线性R. Brockett积分器的可达集内估计
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2013.13010
Aboubacar Moussa, A. O. Manga
{"title":"An Estimation from within of the Reachable Set of Generalized Nonlinear R. Brockett Integrator with Small Vector Nonlinearity","authors":"Aboubacar Moussa, A. O. Manga","doi":"10.12988/NADE.2013.13010","DOIUrl":"https://doi.org/10.12988/NADE.2013.13010","url":null,"abstract":"In this paper the generalized nonlinear R. Brockett integrator with small vector nonlinear addition to the rigth-hand side of the corresponding differential equations is considered. More precisely, we investigate the possibility to estimate from within the corresponding reachable set. We obtain some ellipsoidal estimation from within in an efficient form.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130398707","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
A blow-up criterion for the smooth solutions to the Keller-Segel system coupled with the Navier-Stokes fluid Navier-Stokes流体耦合Keller-Segel系统光滑解的爆破判据
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2021.91132
Mingxue Zhang, Fuyi Xu
{"title":"A blow-up criterion for the smooth solutions to the Keller-Segel system coupled with the Navier-Stokes fluid","authors":"Mingxue Zhang, Fuyi Xu","doi":"10.12988/NADE.2021.91132","DOIUrl":"https://doi.org/10.12988/NADE.2021.91132","url":null,"abstract":"In this paper, we consider the Keller-Segel system coupled with the Navier-Stokes equations fluid in R2. A blow-up criterion of the smooth solution of the model is given.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123989590","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 solution of the Helmholtz equation using lattice-Boltzmann technique 用格-玻尔兹曼技术求解亥姆霍兹方程
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2016.6636
F. Fonseca
{"title":"The solution of the Helmholtz equation using lattice-Boltzmann technique","authors":"F. Fonseca","doi":"10.12988/NADE.2016.6636","DOIUrl":"https://doi.org/10.12988/NADE.2016.6636","url":null,"abstract":"The Helmholtz equation is solved using the lattice-Boltzmann technique for a d2q9 lattice velocity scheme. We assumed a distribution function that satisfies the lattice-Boltzmann equation, and its average on cell gives account for the scalar field that solves Helmholtz equation. The method relies on the definition of the second moment of the distribution. We obtain the classic interference behavior for several sources.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114324367","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
Analysis of a Holling II system with frequency-dependent fitness and constant harvesting rate of prey 具有频率相关适应度和恒定猎物收获率的Holling II系统分析
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/nade.2015.535
Huaying Wang, Haili Zhang, Yanxiu Sun, Yulei Pang
{"title":"Analysis of a Holling II system with frequency-dependent fitness and constant harvesting rate of prey","authors":"Huaying Wang, Haili Zhang, Yanxiu Sun, Yulei Pang","doi":"10.12988/nade.2015.535","DOIUrl":"https://doi.org/10.12988/nade.2015.535","url":null,"abstract":"We study a Holling II predator-prey model with frequency-dependent fitness and nonzero constant harvesting rate of prey. It is shown that the model has at most one hyperbolic positive equilibrium which may be a node, focus or a center and can exhibit the Hopf bifurcation or Heteroclinic bifurcation when parameters vary in a small neighborhood of the values of parameters. Meanwhile, a sufficient condition for no closed trajectory existing in system is obtained. And it is further shown that by choosing different values of parameters the model can have a stable or unstable limit cycle only enclosing the positive equilibrium. 156 Huaying Wang et al. These results reveal far richer dynamics compared to the model with no harvesting such as general Gause-type model. Mathematics Subject Classification: 92D30, 92D40, 93D20","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116368379","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
On the maximal and minimal solutions of the nonlocal problem of Ito stochastic differential equation 伊藤随机微分方程非局部问题的极大极小解
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2016.6419
A. El-Sayed, R. O. Abd-El-Rahman, M. El-Gendy
{"title":"On the maximal and minimal solutions of the nonlocal problem of Ito stochastic differential equation","authors":"A. El-Sayed, R. O. Abd-El-Rahman, M. El-Gendy","doi":"10.12988/NADE.2016.6419","DOIUrl":"https://doi.org/10.12988/NADE.2016.6419","url":null,"abstract":"","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127998941","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
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