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Differential Equations and Applications最新文献

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Artificial Neural Network for Solving Fuzzy Differential Equations under Generalized H – Derivation 广义H -导数下求解模糊微分方程的人工神经网络
Differential Equations and Applications Pub Date : 2017-04-22 DOI: 10.12691/IJPDEA-5-1-1
M. H. Suhhiem
{"title":"Artificial Neural Network for Solving Fuzzy Differential Equations under Generalized H – Derivation","authors":"M. H. Suhhiem","doi":"10.12691/IJPDEA-5-1-1","DOIUrl":"https://doi.org/10.12691/IJPDEA-5-1-1","url":null,"abstract":"The aim of this work is to present a novel approach based on the artificial neural network for finding the numerical solution of first order fuzzy differential equations under generalized H-derivation. The differentiability concept used in this paper is the generalized differentiability since a fuzzy differential equation under this differentiability can have two solutions. The fuzzy trial solution of fuzzy initial value problem is written as a sum of two parts. The first part satisfies the fuzzy condition, it contains no adjustable parameters. The second part involves feed-forward neural networks containing adjustable parameters. Under some conditions the proposed method provides numerical solutions with high accuracy.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"75 1","pages":"1-9"},"PeriodicalIF":0.0,"publicationDate":"2017-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86288430","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
Study of a System of Convection-Diffusion-Reaction 对流-扩散-反应体系的研究
Differential Equations and Applications Pub Date : 2017-01-07 DOI: 10.12691/IJPDEA-4-2-3
S. Lecheheb, Hakim Lakhal, Maouni Messaoud, K. Slimani
{"title":"Study of a System of Convection-Diffusion-Reaction","authors":"S. Lecheheb, Hakim Lakhal, Maouni Messaoud, K. Slimani","doi":"10.12691/IJPDEA-4-2-3","DOIUrl":"https://doi.org/10.12691/IJPDEA-4-2-3","url":null,"abstract":"In this article, we are interested in the study of the existence of weak solutions of boundary value problem for the nonlinear elliptic system , where Ω is a bounded domain in and are continuous functions . We use the Leray-Schauder degree theory under not linear for the three reasons: the terms of diffusion, convection and reaction, and the following condition on the last term f and and","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"34 1","pages":"32-37"},"PeriodicalIF":0.0,"publicationDate":"2017-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77547552","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
Area integrals and the exponential square theorem for elliptic operators with coefficients supported in Whitney type cubes 惠特尼型立方体中带系数椭圆算子的面积积分和指数平方定理
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-2017-09-23
Marysol Navarro-Burruel, J. Rivera-Noriega
{"title":"Area integrals and the exponential square theorem for elliptic operators with coefficients supported in Whitney type cubes","authors":"Marysol Navarro-Burruel, J. Rivera-Noriega","doi":"10.7153/DEA-2017-09-23","DOIUrl":"https://doi.org/10.7153/DEA-2017-09-23","url":null,"abstract":"We provide a direct proof of a result comparing the area functions of solutions of two second order linear elliptic operators, when the discrepancy between their main coefficients is supported on Whitney type cubes of the unit ball of n dimensional Euclidean space. Our arguments are specialized to this type of operators, and the vanishing Carleson condition that we adopt is inspired by work of C. Sweezy. The comparison between area functions implies the preservation of the so called exponential square theorem assuming the aforementioned discrepancy of the coefficients. Mathematics subject classification (2010): 42B25, 42B35, 31A20.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"13 1","pages":"311-325"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86944934","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
Asymptotic behavior of solutions of impulsive neutral differential equations with constant jumps 常跳脉冲中立型微分方程解的渐近性质
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-09-20
Cholticha Nuchpong, S. Ntouyas, P. Thiramanus, J. Tariboon
{"title":"Asymptotic behavior of solutions of impulsive neutral differential equations with constant jumps","authors":"Cholticha Nuchpong, S. Ntouyas, P. Thiramanus, J. Tariboon","doi":"10.7153/DEA-09-20","DOIUrl":"https://doi.org/10.7153/DEA-09-20","url":null,"abstract":"In this paper, we investigate the asymptotic behavior of solutions for a class of mixed type impulsive neutral delay differential equations with constant jumps. Sufficient conditions are given to guarantee that every non-oscillatory solution of the system tends to zero as t → ∞ . An example illustrating the result is also presented.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"4 1","pages":"263-264"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83261614","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
Solutions for a second-order Delay differential inclusion on the half-line with boundary values 带边值的半线上二阶时滞微分包含的解
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-2017-09-37
John S. Spraker
{"title":"Solutions for a second-order Delay differential inclusion on the half-line with boundary values","authors":"John S. Spraker","doi":"10.7153/DEA-2017-09-37","DOIUrl":"https://doi.org/10.7153/DEA-2017-09-37","url":null,"abstract":"In [15], Wei solved a delay differential equation on the half-line. The current paper is an extension of these results to the set-valued case. The results involve measurable selections and the contraction mapping theorem for set-valued functions.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"33 1","pages":"543-552"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81290183","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
Multiple positive solutions for nonlocal boundary value problems with p-Laplacian operator 带p-拉普拉斯算子的非局部边值问题的多个正解
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/dea-2017-09-36
Sheng-Ping Wang
{"title":"Multiple positive solutions for nonlocal boundary value problems with p-Laplacian operator","authors":"Sheng-Ping Wang","doi":"10.7153/dea-2017-09-36","DOIUrl":"https://doi.org/10.7153/dea-2017-09-36","url":null,"abstract":"","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"83 1","pages":"533-542"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81077771","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
Multiple positive solutions for a Choquard equation involving both concave-convex and Hardy-Littlewood-Sobolev critical exponent 含凹凸和Hardy-Littlewood-Sobolev临界指数的Choquard方程的多个正解
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-2017-09-34
R. Echarghaoui, M. Khiddi, S. Sbai
{"title":"Multiple positive solutions for a Choquard equation involving both concave-convex and Hardy-Littlewood-Sobolev critical exponent","authors":"R. Echarghaoui, M. Khiddi, S. Sbai","doi":"10.7153/DEA-2017-09-34","DOIUrl":"https://doi.org/10.7153/DEA-2017-09-34","url":null,"abstract":"In this paper, we consider a Choquard equation involving both concave-convex and Hardy-Littlewood-Sobolev critical exponent. By using the N ehari manifold, fibering maps and the Lusternik-Schnirelman category, we prove that the problem has at least cat(Ω)+ 1 distinct positive solutions.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"71 1","pages":"505-520"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81584674","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
Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems 一类摄动二阶脉冲哈密顿系统的无穷多周期解
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-09-16
J. Graef, S. Heidarkhani, L. Kong
{"title":"Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems","authors":"J. Graef, S. Heidarkhani, L. Kong","doi":"10.7153/DEA-09-16","DOIUrl":"https://doi.org/10.7153/DEA-09-16","url":null,"abstract":"We investigate the existence of infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems. Our approach is based on variational methods and critical point theory.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"9 1","pages":"195-212"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83463335","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: 10
On a generalization of the Liouville formula 关于刘维尔公式的推广
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/DEA-09-17
Zhengyong Zhou, L. Xie
{"title":"On a generalization of the Liouville formula","authors":"Zhengyong Zhou, L. Xie","doi":"10.7153/DEA-09-17","DOIUrl":"https://doi.org/10.7153/DEA-09-17","url":null,"abstract":"In this article, we obtain a new formula which generalizes the Liouville formula of the linear differential system to nonlinear differential system. We establish the relationship between the Jacobi determinant of the first integral and the trace of Jacobi matrix of the n -dimensional vector field.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"123 1","pages":"213-217"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85651658","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
Minimization principle in ordered Banach spaces and application via Ekeland's variational principle 有序巴拿赫空间的极小化原理及其在Ekeland变分原理中的应用
Differential Equations and Applications Pub Date : 2017-01-01 DOI: 10.7153/dea-09-08
A. Boucenna, M. Briki, T. Moussaoui, D. Regan
{"title":"Minimization principle in ordered Banach spaces and application via Ekeland's variational principle","authors":"A. Boucenna, M. Briki, T. Moussaoui, D. Regan","doi":"10.7153/dea-09-08","DOIUrl":"https://doi.org/10.7153/dea-09-08","url":null,"abstract":"In this paper we establish a minimization principle in an ordered Banach space (in particular in a Riesz-Banach space). As an application we discuss the existence of a positive solution for a boundary value problem on the half-line even when the nonlinear term is signchanging. Mathematics subject classification (2010): 35B38, 47L07.","PeriodicalId":11162,"journal":{"name":"Differential Equations and Applications","volume":"28 6","pages":"99-104"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91498546","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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