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Nonlinear Analysis and Differential Equations最新文献

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An abstract approach to nonlinear boundary value problems at resonance 非线性共振边值问题的一个抽象方法
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2014.421
D. Maroncelli
{"title":"An abstract approach to nonlinear boundary value problems at resonance","authors":"D. Maroncelli","doi":"10.12988/NADE.2014.421","DOIUrl":"https://doi.org/10.12988/NADE.2014.421","url":null,"abstract":"In this paper we provide an abstract existence result for nonlinear boundary value problems at resonance. Our abstract approach provides a general framework for the situation that occurs for a large class of differential operators. We will approach the problem using an Alternative Method in conjunction with topological degree theory. Mathematics Subject Classification: 34B15","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"40 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":"125116849","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
Flow on an inclined open channel 在倾斜的明渠上流动
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2016.6757
L. Wiryanto
{"title":"Flow on an inclined open channel","authors":"L. Wiryanto","doi":"10.12988/NADE.2016.6757","DOIUrl":"https://doi.org/10.12988/NADE.2016.6757","url":null,"abstract":"Fluid flow on an inclined channel is considered. The effect of gravity and the friction of the fluid to the bottom wall is included in the model, so that we have a system of partial differential equations of fluid depth and averaged depth velocity. From the balancing between those two forces, the model is derived and is then solved analytically for kinematic wave and numerically. Both types of solution can be compared, and the kinematic wave is a special case of the numerical solution, i.e. for Froude number 2 F  .","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":"125538600","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
Multiplicity Results and Global Bifurcations for a Degenerate Elliptic Equation 一类退化椭圆型方程的多重性结果和全局分岔
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2014.3615
M. Amattat
{"title":"Multiplicity Results and Global Bifurcations for a Degenerate Elliptic Equation","authors":"M. Amattat","doi":"10.12988/NADE.2014.3615","DOIUrl":"https://doi.org/10.12988/NADE.2014.3615","url":null,"abstract":"We consider the question of determining the exact number of solutions of the problem E p λ below We distinguish two cases: whether 1 <p � 2o r 2 <p< ∞ . In the first case, we shall show that the problem E p behaves like in the semi-linear case which corresponds to p = 2.. In the second case and under some conditions which will be specified later; we shall show that the spectrum for problem E p consists of a collection of intervals In ,n =1 , 2, 3, whose ends points are members of the sequences (λn)n ,( μn)n where the first one is the sequence of eigenvalues for the pseudo-Laplacian operator and the other one is a sequence of a kind of eigenvalues for E p . And each time λ = μn, there exists secondary bifurcating continuum en of singular solutions which are diffeomorphic to [0 ,π ] n ,n =1 , 2..","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"29 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":"127285713","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 superposition property for a class of nonlinear partial differential equations 一类非线性偏微分方程的叠加性质
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/nade.2020.91119
N. Yener
{"title":"A superposition property for a class of nonlinear partial differential equations","authors":"N. Yener","doi":"10.12988/nade.2020.91119","DOIUrl":"https://doi.org/10.12988/nade.2020.91119","url":null,"abstract":"This note complements a previous paper by the author in two ways. Firstly errors in this previous paper for the sufficient conditions for sums of two solutions of specific equations to satisfy the equation are underlined. Secondly, in this work, the class of nonlinear partial differential equations that can be decomposed into sums of terms that are products of not necessarily the same number of linear partial differential operators is considered and necessary and sufficient conditions on the operators and on the solutions are established for the linear combinations of two solutions to satisfy the equation. In the mentioned previous paper a necessary and sufficient condition was obtained for the same superposition property for equations that are composed of sums of products of the same number of linear partial differential operators. Also an example is included for the problem taken up.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"63 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":"127904588","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
Uniform existence and uniqueness for a time-dependent Ginzburg-Landau model for superconductivity 超导时相关金兹堡-朗道模型的一致存在唯一性
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2017.7713
Jishan Fan, T. Ozawa
{"title":"Uniform existence and uniqueness for a time-dependent Ginzburg-Landau model for superconductivity","authors":"Jishan Fan, T. Ozawa","doi":"10.12988/NADE.2017.7713","DOIUrl":"https://doi.org/10.12988/NADE.2017.7713","url":null,"abstract":"We study the initial boundary value problem for a time-dependent Ginzburg-Landau model of superconductivity. First, we prove the uniform boundedness of strong solutions with respect to diffusion parameter > 0 in the case of Coulomb gauge for 2D case. Our second result is the uniqueness of axially symmetric weak solutions in 3D with L2 initial data under Lorentz gauge. Mathematics Subject Classifications: 35K55","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"33 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":"122621634","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 3/8 Simpson's numerical scheme for the classes of Volterra integral equations of first kind 一类Volterra积分方程的3/8 Simpson数值格式
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/nade.2019.9812
M. A. Alzhrani, H. Bakodah, M. Al-Mazmumy
{"title":"A 3/8 Simpson's numerical scheme for the classes of Volterra integral equations of first kind","authors":"M. A. Alzhrani, H. Bakodah, M. Al-Mazmumy","doi":"10.12988/nade.2019.9812","DOIUrl":"https://doi.org/10.12988/nade.2019.9812","url":null,"abstract":"In this paper, we proposed a 3/8 Simpson’s numerical scheme for solving the linear, nonlinear and system of Volterra integral equations of the first kind. The scheme is further assessed with the classical Simpson’s rule and revealed a high level of accuracy with minimal error. Further, we applied the scheme to certain numerical examples in each category and it is found to be of great accuracy and simplicity over other methods.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"23 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":"115200604","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 a hepatitis B viral infection model with logistic hepatocyte growth and cytotoxic T-lymphocyte response 乙型肝炎病毒感染模型与logistic肝细胞生长和细胞毒性t淋巴细胞反应的动力学
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2016.510642
K. Allali, Adil Meskaf, Y. Tabit
{"title":"Dynamics of a hepatitis B viral infection model with logistic hepatocyte growth and cytotoxic T-lymphocyte response","authors":"K. Allali, Adil Meskaf, Y. Tabit","doi":"10.12988/NADE.2016.510642","DOIUrl":"https://doi.org/10.12988/NADE.2016.510642","url":null,"abstract":"Abstract In this paper, we present and study the mathematical model of HBV dynamics with logistic hepatocyte growth and cytotoxic T-lymphocyte (CTL) response. The positivity and boundedness of solutions for nonnegative initial data are proved. The stability of disease-free equilibrium and endemic equilibrium are analyzed. Numerical simulations are performed and oscillatory convergence is observed.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"53 S3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113962244","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
Remark on large time behavior for the 2D Navier-Stokes equations with weak damping and continuous delay 注意具有弱阻尼和连续延迟的二维Navier-Stokes方程的大时间行为
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2015.553
Keqin Su, Yadi Wang, Yimin Cao
{"title":"Remark on large time behavior for the 2D Navier-Stokes equations with weak damping and continuous delay","authors":"Keqin Su, Yadi Wang, Yimin Cao","doi":"10.12988/NADE.2015.553","DOIUrl":"https://doi.org/10.12988/NADE.2015.553","url":null,"abstract":"We shall show the existence of pullback attractors and upper semicontinuity property for the 2D Navier-Stokes equation with weak damping, perturbation external force and continuous delay. Mathematics Subject Classification: 35Q35; 76D03","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"128 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":"115889896","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
Approximations to the solution of Cauchy type weighted nonlocal fractional differential equation Cauchy型加权非局部分数阶微分方程解的近似
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2016.6978
T. L. Holambe, M. Haque, G. P. Kamble
{"title":"Approximations to the solution of Cauchy type weighted nonlocal fractional differential equation","authors":"T. L. Holambe, M. Haque, G. P. Kamble","doi":"10.12988/NADE.2016.6978","DOIUrl":"https://doi.org/10.12988/NADE.2016.6978","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":"126812715","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
Solving first kind Abel integral equations using the SBA numerical method 用SBA数值方法求解第一类Abel积分方程
Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI: 10.12988/NADE.2013.13013
Y. Paré, A. Bakari, Rasmané Yaro, B. Somé
{"title":"Solving first kind Abel integral equations using the SBA numerical method","authors":"Y. Paré, A. Bakari, Rasmané Yaro, B. Somé","doi":"10.12988/NADE.2013.13013","DOIUrl":"https://doi.org/10.12988/NADE.2013.13013","url":null,"abstract":"Our goal in this paper is to use the SBA numerical method (combination of Adomian method and Picard successive approximations), to solve first kind Abel integration equations. In this work, we shall describe the SBA method and study the convergence of this method applied to first kind Volterra general integral. 116 Youssouf Pare et al.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"22 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":"123422826","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
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