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Multiplicity results for a class of fractional boundary value problems depending on two parameters 一类依赖于两个参数的分数边值问题的多重性结果
Nonlinear Studies Pub Date : 2012-12-24 DOI: 10.4064/AP109-1-5
N. Nyamoradi
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引用次数: 8
Existence Results for a Second Order Impulsive Neutral Functional Integrodierentia l Inclusions in Banach Spaces with Innite Delay 一类二阶脉冲中立型泛函积分包含在无限延迟Banach空间中的存在性结果
Nonlinear Studies Pub Date : 2012-08-24 DOI: 10.22436/JNSA.005.05.02
V. Kavitha, M. Arjunan, C. Ravichandran
{"title":"Existence Results for a Second Order Impulsive Neutral Functional Integrodierentia l Inclusions in Banach Spaces with Innite Delay","authors":"V. Kavitha, M. Arjunan, C. Ravichandran","doi":"10.22436/JNSA.005.05.02","DOIUrl":"https://doi.org/10.22436/JNSA.005.05.02","url":null,"abstract":"Axed point theorem for condensing maps due to Martelli combined with theories of a strongly continuous cosine family of bounded linear operators is used to investigate the existence of solutions to second order impulsive neutral functional integrodierentia l inclusions with innite delay in Banach spaces.","PeriodicalId":38616,"journal":{"name":"Nonlinear Studies","volume":"19 1","pages":"417-431"},"PeriodicalIF":0.0,"publicationDate":"2012-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68517362","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
Stability in terms of two measures for impulsive differential equations with ``supremum'' 具有“上极值”的脉冲微分方程的二测度稳定性
Nonlinear Studies Pub Date : 2010-11-15 DOI: 10.1155/2011/703189
S. Hristova
{"title":"Stability in terms of two measures for impulsive differential equations with ``supremum''","authors":"S. Hristova","doi":"10.1155/2011/703189","DOIUrl":"https://doi.org/10.1155/2011/703189","url":null,"abstract":"Sufficient conditions for stability in terms of two measures for nonlinear impulsive differential equations with ``supremum'' are obtained. Perturbing piecewise continuous Lyapunov functions have been applied. Razumikhin method and comparison scalar impulsive ordinary differential equations have been employed. The obtained sufficient conditions significantly depend on the impulses.","PeriodicalId":38616,"journal":{"name":"Nonlinear Studies","volume":"17 1","pages":"299-308"},"PeriodicalIF":0.0,"publicationDate":"2010-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2011/703189","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64280815","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: 22
Extensions to generalized quasilinearization versus Newton's method for convex-concave functions 凸凹函数的广义拟线性化与牛顿方法的扩展
Nonlinear Studies Pub Date : 2010-07-18 DOI: 10.5539/JMR.V2N3P63
C. Martínez-Garza
{"title":"Extensions to generalized quasilinearization versus Newton's method for convex-concave functions","authors":"C. Martínez-Garza","doi":"10.5539/JMR.V2N3P63","DOIUrl":"https://doi.org/10.5539/JMR.V2N3P63","url":null,"abstract":"In this paper we use the Method of Generalized Quasilinearization to obtain Newton-like comparative schemes to solve the equation $f(x)=0$, which has an isolated zero, $x=r$ in $[a_0,b_0]subset Omega$, where $f(x) in C[Omega,mathbb{R}]$. Two sets of results are presented. In the first cases $f(x)$ is neither concave nor convex, but by the addition of the convex function $phi(x)$, convexity properties are then used on $F(x)=f(x)+phi(x)=0$ to show that an iterative scheme based on Generalized Quasilinearization generates two monotone sequences ${a_n}$ and ${b_n}$ that converge quadratically to $r$, the isolated zero of $f(x)=0$. The first set of results are then extended to the case where $f(x)$ admits the decomposition $f(x)=F(x)+G(x)$, where $F(x)$ and $G(x)$ are not naturally convex and concave, but are forced by adding the functions $Phi(x)$ and $Psi(x)$ with $Phi_{xx}(x)>0$ and $Psi_{xx}(x)leq 0$ in $Omega$. The existence of monotone sequences that converge quadratically to the isolated root of $f(x)=0$ in $[a_0,b_0]subsetOmega$ is shown via iterative schemes relevant to Generalized Quasilinearization.","PeriodicalId":38616,"journal":{"name":"Nonlinear Studies","volume":"17 1","pages":"267-277"},"PeriodicalIF":0.0,"publicationDate":"2010-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.5539/JMR.V2N3P63","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70799255","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
Nonlinear Vibrations of the Euler-Bernoulli Beam Subjected to Transversal Load and Impact Actions 欧拉-伯努利梁在横向载荷和冲击作用下的非线性振动
Nonlinear Studies Pub Date : 2008-01-01 DOI: 10.1007/978-3-540-77676-5_16
J. Awrejcewicz, V. Krysko
{"title":"Nonlinear Vibrations of the Euler-Bernoulli Beam Subjected to Transversal Load and Impact Actions","authors":"J. Awrejcewicz, V. Krysko","doi":"10.1007/978-3-540-77676-5_16","DOIUrl":"https://doi.org/10.1007/978-3-540-77676-5_16","url":null,"abstract":"","PeriodicalId":38616,"journal":{"name":"Nonlinear Studies","volume":"11 1","pages":"357-373"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/978-3-540-77676-5_16","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51064626","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: 19
Theory of Fuzzy Chaos for the Simulation and Control of Nonlinear Dynamical Systems 非线性动力系统仿真与控制的模糊混沌理论
Nonlinear Studies Pub Date : 2006-01-01 DOI: 10.1007/3-540-32502-6_14
O. Castillo, P. Melin
{"title":"Theory of Fuzzy Chaos for the Simulation and Control of Nonlinear Dynamical Systems","authors":"O. Castillo, P. Melin","doi":"10.1007/3-540-32502-6_14","DOIUrl":"https://doi.org/10.1007/3-540-32502-6_14","url":null,"abstract":"","PeriodicalId":38616,"journal":{"name":"Nonlinear Studies","volume":"11 1","pages":"391-414"},"PeriodicalIF":0.0,"publicationDate":"2006-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/3-540-32502-6_14","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51554853","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
Theory of Fuzzy Chaos for Simulation and Control of Non-Linear Dynamical Systems 非线性动力系统仿真与控制的模糊混沌理论
Nonlinear Studies Pub Date : 2004-02-01 DOI: 10.1142/9789812702661_0116
O. Castillo, P. Melin
{"title":"Theory of Fuzzy Chaos for Simulation and Control of Non-Linear Dynamical Systems","authors":"O. Castillo, P. Melin","doi":"10.1142/9789812702661_0116","DOIUrl":"https://doi.org/10.1142/9789812702661_0116","url":null,"abstract":"","PeriodicalId":38616,"journal":{"name":"Nonlinear Studies","volume":"11 1","pages":"53-78"},"PeriodicalIF":0.0,"publicationDate":"2004-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64017655","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
Numerical Solution of Fuzzy Differential Equation by Runge-Kutta Method 模糊微分方程的龙格-库塔法数值解
Nonlinear Studies Pub Date : 2002-04-01 DOI: 10.3390/MCA7010041
S. Abbasbandy, T. Viranloo
{"title":"Numerical Solution of Fuzzy Differential Equation by Runge-Kutta Method","authors":"S. Abbasbandy, T. Viranloo","doi":"10.3390/MCA7010041","DOIUrl":"https://doi.org/10.3390/MCA7010041","url":null,"abstract":"In this paper numerical algorithms for solving 'fuzzy ordinary differential equations' based on Sikkala's derivative of fuzzy process [9], are considered. A numerical method based on the Runge-Kutta method of order 4 in detail is discussed and this is followed by a complete error analysis. The algorithm is illustrated by solving some linear and nonlinear fuzzy Cauchy problems.","PeriodicalId":38616,"journal":{"name":"Nonlinear Studies","volume":"11 1","pages":"117-129"},"PeriodicalIF":0.0,"publicationDate":"2002-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.3390/MCA7010041","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69634177","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: 122
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