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Asymptotic growth bounds for the Vlasov-Poisson system in convex bounded domains 凸有界区域上Vlasov-Poisson系统的渐近生长界
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2016.5933
A. Albukhuttar
{"title":"Asymptotic growth bounds for the Vlasov-Poisson system in convex bounded domains","authors":"A. Albukhuttar","doi":"10.12988/NADE.2016.5933","DOIUrl":"https://doi.org/10.12988/NADE.2016.5933","url":null,"abstract":"We consider smooth compactly supported solutions to the classical threedimensional Vlasov-Poisson system in convex bounded domains. In the plasma physics case, we show that the size of the velocity support of the distribution function grows at most t 16 21 + for any > 0.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"4 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":"129059632","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 remark on persistence of global well-posedness for the Boussinesq system with non-homogeneous boundary in dimension two 二维非齐次边界的Boussinesq系统全局适定性的持久性
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2016.6532
Xing Su, Yuming Qin
{"title":"A remark on persistence of global well-posedness for the Boussinesq system with non-homogeneous boundary in dimension two","authors":"Xing Su, Yuming Qin","doi":"10.12988/NADE.2016.6532","DOIUrl":"https://doi.org/10.12988/NADE.2016.6532","url":null,"abstract":"","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"11 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":"117087470","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
Modified Adomian method for the generalized inhomogeneous Lane-Emden-type equations 广义非齐次lane - emden型方程的修正Adomian方法
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/nade.2022.91142
M. Al-Mazmumy, A. A. A. A. Alsulami, H. Bakodah, N. Alzaid
{"title":"Modified Adomian method for the generalized inhomogeneous Lane-Emden-type equations","authors":"M. Al-Mazmumy, A. A. A. A. Alsulami, H. Bakodah, N. Alzaid","doi":"10.12988/nade.2022.91142","DOIUrl":"https://doi.org/10.12988/nade.2022.91142","url":null,"abstract":"The present study investigates certain singular Initial-Value Problems (IVPs) featuring the classical and generalized inhomogeneous Lane-Emden-type equations. These equations are very important models as they appear in many physical applications, including thermodynamics to mention a few. Further, the study proposes different forms of inverse integral operators that are based on the Adomian method to accelerate the convergence rate of the standard Adomian Decomposition Method (ADM). The method is then applied to various types of linear and nonlinear test problems and was found to be an effective modification by monitoring the rapidity of the convergence rate.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"24 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":"115709587","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
Well-posedness of a 2D time-dependent Ginzburg-Landau superconductivity model 二维时变金兹堡-朗道超导模型的适定性
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/nade.2020.91126
Jishan Fan, T. Ozawa
{"title":"Well-posedness of a 2D time-dependent Ginzburg-Landau superconductivity model","authors":"Jishan Fan, T. Ozawa","doi":"10.12988/nade.2020.91126","DOIUrl":"https://doi.org/10.12988/nade.2020.91126","url":null,"abstract":"In this paper we prove the global existence and uniqueness of weak solutions to a 2D evolutionary Ginzburg-Landau superconductivity model with L2 initial data. Mathematics Subject Classifications: 35A05, 35A40, 35K55, 82D55","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":"114838111","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 solutions to impulsive fractional Sobolev-type integro-differential equations in Banach spaces with operator pairs and state dependent delay 具有算子对和状态相关延迟的Banach空间中脉冲分数sobolev型积分微分方程解的存在性
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2021.91135
D. Chalishajar, D. S. Raja, P. Sundararajan, K. Karthikeyan
{"title":"Existence of solutions to impulsive fractional Sobolev-type integro-differential equations in Banach spaces with operator pairs and state dependent delay","authors":"D. Chalishajar, D. S. Raja, P. Sundararajan, K. Karthikeyan","doi":"10.12988/NADE.2021.91135","DOIUrl":"https://doi.org/10.12988/NADE.2021.91135","url":null,"abstract":"","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"16 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":"126626789","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
Stability of some thermoelastic systems with internal time-varying delay 一类内变时滞热弹性系统的稳定性
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2016.61087
J. E. Benyaich
{"title":"Stability of some thermoelastic systems with internal time-varying delay","authors":"J. E. Benyaich","doi":"10.12988/NADE.2016.61087","DOIUrl":"https://doi.org/10.12988/NADE.2016.61087","url":null,"abstract":"In this paper we consider a thermoelastic type system with Cattaneo’s law and internal time-varying delay. Under suitable assumption on the weigh of delay, we prove the exponential stability of this system by using suitable energy functionals. More we show that the exponential stability of thermoelastic system with Cattaneo’s law implies a polynomial stability of the corresponding thermoelastic system with the Fourier’s law, where the result for the polynomial stability was proved recently by BorichevTomilov in [1].","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"35 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":"127087744","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 modified Adomian decomposition method for solving nonlinear coupled Burger's equations 求解非线性耦合Burger方程的改进Adomian分解方法
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2015.41226
M. Al-Mazmumy, H. Al-Malki
{"title":"The modified Adomian decomposition method for solving nonlinear coupled Burger's equations","authors":"M. Al-Mazmumy, H. Al-Malki","doi":"10.12988/NADE.2015.41226","DOIUrl":"https://doi.org/10.12988/NADE.2015.41226","url":null,"abstract":"In this paper, Adomian decomposition method (ADM) and some of its modification are considered to solve nonlinear coupled Bergur's equations. We consider two types of modification, the new modification of (ADM) and Laplace Adomian decomposition method (LADM). Finally the effectiveness of our methods is demonstrated by numerical experiments.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"26 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":"123270255","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: 9
The cyclicity of period annuli of a quadratic reversible Lotka-Volterra system with two centers 具有两个中心的二次可逆Lotka-Volterra系统的周期环空循环性
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2015.524
Juanjuan Wu
{"title":"The cyclicity of period annuli of a quadratic reversible Lotka-Volterra system with two centers","authors":"Juanjuan Wu","doi":"10.12988/NADE.2015.524","DOIUrl":"https://doi.org/10.12988/NADE.2015.524","url":null,"abstract":"This paper is concerned with the bifurcations of limit cycles in a quadratic reversible Lotka-Volterra system with two centers under quadratic perturbations. By studying the number of zeros of Abelian integral based on the geometric properties of some planar curves, we obtain the cyclicity of each periodic annulus of the system under quadratic perturbations is two, and the cyclicity of two period annuli is three. In addition, we present the configurations of limit cycles of the perturbed system. Mathematics Subject Classification: 34C07, 34C08, 37G15","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"2 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":"131600887","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
Explicit identities for the generalized tangent polynomials 广义正切多项式的显式恒等式
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/nade.2018.865
C. Ryoo
{"title":"Explicit identities for the generalized tangent polynomials","authors":"C. Ryoo","doi":"10.12988/nade.2018.865","DOIUrl":"https://doi.org/10.12988/nade.2018.865","url":null,"abstract":"Recently, mathematicians have studied in the area of the Bernoulli numbers and polynomials, Euler numbers and polynomials, Genocchi numbers and polynomials, and tangent numbers and polynomials(see [1, 3, 4, 6, 7, 8, 9]). We first give the definitions of the tangent numbers and polynomials. It should be mentioned that the definition of tangent numbers Tn and polynomials Tn(x) can be found in [4]. The tangent numbers Tn and polynomials Tn(x) are defined by means of the generating functions:","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"5 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":"125652524","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
Solution of differential equations of Lane-Emden type by combining integral transform and variational iteration method 用积分变换和变分迭代相结合的方法求解Lane-Emden型微分方程
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2016.613
N. Zomot, O. Ababneh
{"title":"Solution of differential equations of Lane-Emden type by combining integral transform and variational iteration method","authors":"N. Zomot, O. Ababneh","doi":"10.12988/NADE.2016.613","DOIUrl":"https://doi.org/10.12988/NADE.2016.613","url":null,"abstract":"In this paper, we present a reliable combined the modified Sumudu transform and the new modified variational iteration method to solve some nonlinear differential equations of Lane-Emden type. The results of these equations have been find in terms of convergent series with computable components. The nonlinear terms can be handled by using the variational iteration method. This method is efficient and easy to handle such nonlinear differential equations.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"32 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":"115052702","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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