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International Journal of Differential Equations最新文献

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Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System 应用于Schrödinger-Benjamin-Ono系统的隐式谱格式误差分析
IF 1.6
International Journal of Differential Equations Pub Date : 2016-11-03 DOI: 10.1155/2016/6930758
Juan Carlos Muñoz Grajales
{"title":"Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System","authors":"Juan Carlos Muñoz Grajales","doi":"10.1155/2016/6930758","DOIUrl":"https://doi.org/10.1155/2016/6930758","url":null,"abstract":"We develop error estimates of the semidiscrete and fully discrete formulations of a Fourier-Galerkin numerical scheme to approximate solutions of a coupled nonlinear Schrodinger-Benjamin-Ono system that describes the motion of two fluids with different densities under capillary-gravity waves in a deep water regime. The accuracy of the numerical solver is checked using some exact travelling wave solutions of the system.","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":"77 1","pages":"1-12"},"PeriodicalIF":1.6,"publicationDate":"2016-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2016/6930758","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64497356","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
The Maximal Strichartz Family of Gaussian Distributions: Fisher Information, Index of Dispersion, and Stochastic Ordering 高斯分布的最大Strichartz族:Fisher信息、分散指数和随机排序
IF 1.6
International Journal of Differential Equations Pub Date : 2016-09-29 DOI: 10.1155/2016/2343975
A. Selvitella
{"title":"The Maximal Strichartz Family of Gaussian Distributions: Fisher Information, Index of Dispersion, and Stochastic Ordering","authors":"A. Selvitella","doi":"10.1155/2016/2343975","DOIUrl":"https://doi.org/10.1155/2016/2343975","url":null,"abstract":"We define and study several properties of what we call Maximal Strichartz Family of Gaussian Distributions. This is a subfamily of the family of Gaussian Distributions that arises naturally in the context of the Linear Schrodinger Equation and Harmonic Analysis, as the set of maximizers of certain norms introduced by Strichartz. From a statistical perspective, this family carries with itself some extrastructure with respect to the general family of Gaussian Distributions. In this paper, we analyse this extrastructure in several ways. We first compute the Fisher Information Matrix of the family, then introduce some measures of statistical dispersion, and, finally, introduce a Partial Stochastic Order on the family. Moreover, we indicate how these tools can be used to distinguish between distributions which belong to the family and distributions which do not. We show also that all our results are in accordance with the dispersive PDE nature of the family.","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":"2016 1","pages":"1-17"},"PeriodicalIF":1.6,"publicationDate":"2016-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2016/2343975","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64267981","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 Hybrid Natural Transform Homotopy Perturbation Method for Solving Fractional Partial Differential Equations 求解分数阶偏微分方程的混合自然变换同伦摄动法
IF 1.6
International Journal of Differential Equations Pub Date : 2016-09-27 DOI: 10.1155/2016/9207869
Shehu Maitama
{"title":"A Hybrid Natural Transform Homotopy Perturbation Method for Solving Fractional Partial Differential Equations","authors":"Shehu Maitama","doi":"10.1155/2016/9207869","DOIUrl":"https://doi.org/10.1155/2016/9207869","url":null,"abstract":"A hybrid analytical method for solving linear and nonlinear fractional partial differential equations is presented. The proposed analytical approach is an elegant combination of the Natural Transform Method (NTM) and a well-known method, Homotopy Perturbation Method (HPM). In this analytical method, the fractional derivative is computed in Caputo sense and the nonlinear term is calculated using He’s polynomial. The proposed analytical method reduces the computational size and avoids round-off errors. Exact solution of linear and nonlinear fractional partial differential equations is successfully obtained using the analytical method.","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":"2016 1","pages":"1-7"},"PeriodicalIF":1.6,"publicationDate":"2016-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2016/9207869","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64602337","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: 13
Interval Oscillation Criteria for Forced Second-Order Nonlinear Delay Dynamic Equations with Damping and Oscillatory Potential on Time Scales 时间尺度上具有阻尼和振荡势的强迫二阶非线性时滞动力学方程的区间振荡准则
IF 1.6
International Journal of Differential Equations Pub Date : 2016-08-24 DOI: 10.1155/2016/3298289
H. A. Agwa, A. Khodier, H. Hassan
{"title":"Interval Oscillation Criteria for Forced Second-Order Nonlinear Delay Dynamic Equations with Damping and Oscillatory Potential on Time Scales","authors":"H. A. Agwa, A. Khodier, H. Hassan","doi":"10.1155/2016/3298289","DOIUrl":"https://doi.org/10.1155/2016/3298289","url":null,"abstract":"We are concerned with the interval oscillation of general type of forced second-order nonlinear dynamic equation with oscillatory potential of the form , on a time scale . We will use a unified approach on time scales and employ the Riccati technique to establish some oscillation criteria for this type of equations. Our results are more general and extend the oscillation criteria of Erbe et al. (2010). Also our results unify the oscillation of the forced second-order nonlinear delay differential equation and the forced second-order nonlinear delay difference equation. Finally, we give some examples to illustrate our results.","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":"52 1","pages":"1-12"},"PeriodicalIF":1.6,"publicationDate":"2016-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2016/3298289","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64326476","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
A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients 具有不连续系数的平均曲率流动方程的比较原理
IF 1.6
International Journal of Differential Equations Pub Date : 2016-08-04 DOI: 10.1155/2016/3627896
Cecilia De Zan, Pierpaolo Soravia
{"title":"A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients","authors":"Cecilia De Zan, Pierpaolo Soravia","doi":"10.1155/2016/3627896","DOIUrl":"https://doi.org/10.1155/2016/3627896","url":null,"abstract":"We study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well- posedness of the level set method.","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":"2016 1","pages":"1-6"},"PeriodicalIF":1.6,"publicationDate":"2016-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2016/3627896","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64339656","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
Boundary Layers and Shock Profiles for the Broadwell Model Broadwell模型的边界层和激波剖面
IF 1.6
International Journal of Differential Equations Pub Date : 2016-07-20 DOI: 10.1155/2016/5801728
Niclas Bernhoff
{"title":"Boundary Layers and Shock Profiles for the Broadwell Model","authors":"Niclas Bernhoff","doi":"10.1155/2016/5801728","DOIUrl":"https://doi.org/10.1155/2016/5801728","url":null,"abstract":"We consider the existence of nonlinear boundary layers and the typically nonlinear problem of existence of shock profiles for the Broadwell model, which is a simplified discrete velocity model for ...","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":"2016 1","pages":"1-8"},"PeriodicalIF":1.6,"publicationDate":"2016-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2016/5801728","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64440385","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 Analysis of the Replicator Dynamics for an Asymmetric Hawk-Dove Game 非对称鹰鸽博弈复制因子动力学分析
IF 1.6
International Journal of Differential Equations Pub Date : 2016-07-18 DOI: 10.1155/2017/8781570
I. S. Kohli, M. Haslam
{"title":"An Analysis of the Replicator Dynamics for an Asymmetric Hawk-Dove Game","authors":"I. S. Kohli, M. Haslam","doi":"10.1155/2017/8781570","DOIUrl":"https://doi.org/10.1155/2017/8781570","url":null,"abstract":"We analyze, using a dynamical systems approach, the replicator dynamics for the asymmetric Hawk-Dove game in which there is a set of four pure strategies with arbitrary payoffs. We give a full account of the equilibrium points and their stability and derive the Nash equilibria. We also give a detailed account of the local bifurcations that the system exhibits based on choices of the typical Hawk-Dove parameters and . We also give details on the connections between the results found in this work and those of the standard two-strategy Hawk-Dove game. We conclude the paper with some examples of numerical simulations that further illustrate some global behaviours of the system.","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":"2017 1","pages":"1-7"},"PeriodicalIF":1.6,"publicationDate":"2016-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2017/8781570","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64715886","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 Optimal Control for a Nonlinear-Viscous Fluid Model 一类非线性粘性流体模型最优控制的存在性
IF 1.6
International Journal of Differential Equations Pub Date : 2016-06-27 DOI: 10.1155/2016/9428128
E. Baranovskii, M. A. Artemov
{"title":"Existence of Optimal Control for a Nonlinear-Viscous Fluid Model","authors":"E. Baranovskii, M. A. Artemov","doi":"10.1155/2016/9428128","DOIUrl":"https://doi.org/10.1155/2016/9428128","url":null,"abstract":"We consider the optimal control problem for a mathematical model describing steady flows of a nonlinear-viscous incompressible fluid in a bounded three-dimensional (or a two-dimensional) domain with impermeable solid walls. The control parameter is the surface force at a given part of the flow domain boundary. For a given bounded set of admissible controls, we construct generalized (weak) solutions that minimize a given cost functional.","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":"2016 1","pages":"1-6"},"PeriodicalIF":1.6,"publicationDate":"2016-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2016/9428128","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64614548","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: 12
Existence of the Solution for System of Coupled Hybrid Differential Equations with Fractional Order and Nonlocal Conditions 分数阶非局部条件耦合混合微分方程组解的存在性
IF 1.6
International Journal of Differential Equations Pub Date : 2016-06-05 DOI: 10.1155/2016/4726526
K. Hilal, A. Kajouni
{"title":"Existence of the Solution for System of Coupled Hybrid Differential Equations with Fractional Order and Nonlocal Conditions","authors":"K. Hilal, A. Kajouni","doi":"10.1155/2016/4726526","DOIUrl":"https://doi.org/10.1155/2016/4726526","url":null,"abstract":"This paper is motivated by some papers treating the fractional hybrid differential equations with nonlocal conditions and the system of coupled hybrid fractional differential equations; an existence theorem for fractional hybrid differential equations involving Caputo differential operators of order is proved under mixed Lipschitz and Caratheodory conditions. The existence and uniqueness result is elaborated for the system of coupled hybrid fractional differential equations.","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":"2016 1","pages":"1-9"},"PeriodicalIF":1.6,"publicationDate":"2016-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2016/4726526","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64395152","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
On Fuzzy Improper Integral and Its Application for Fuzzy Partial Differential Equations 模糊反常积分及其在模糊偏微分方程中的应用
IF 1.6
International Journal of Differential Equations Pub Date : 2016-02-16 DOI: 10.1155/2016/7246027
Elhassan Eljaoui, S. Melliani
{"title":"On Fuzzy Improper Integral and Its Application for Fuzzy Partial Differential Equations","authors":"Elhassan Eljaoui, S. Melliani","doi":"10.1155/2016/7246027","DOIUrl":"https://doi.org/10.1155/2016/7246027","url":null,"abstract":"We establish some important results about improper fuzzy Riemann integrals; we prove some properties of fuzzy Laplace transforms, which we apply for solving some fuzzy linear partial differential equations of first order, under generalized Hukuhara differentiability.","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":"2016 1","pages":"1-8"},"PeriodicalIF":1.6,"publicationDate":"2016-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2016/7246027","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64512042","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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