{"title":"ASYMPTOTIC DYNAMIC OF THE NONCLASSICAL DIFFUSION EQUATION WITH TIME-DEPENDENT COEFFICIENT","authors":"Jing Wang, Qiaozhen Ma","doi":"10.11948/20200055","DOIUrl":"https://doi.org/10.11948/20200055","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"60 1","pages":"445-463"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73178501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS IN THREE MODIFIED CAMASSA-HOLM EQUATIONS","authors":"Yanggeng Fu, Jibin Li","doi":"10.11948/20200347","DOIUrl":"https://doi.org/10.11948/20200347","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"86 1","pages":"1051-1061"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85065928","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"NITSCHE'S TYPE STABILIZATION FOR THE FULLY MIXED NAVIER-STOKES/DARCY PROBLEM","authors":"Jiaping Yu, Yuhong Zhang","doi":"10.11948/20200249","DOIUrl":"https://doi.org/10.11948/20200249","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"27 1","pages":"1481-1493"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81641530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"CONSERVATION LAWS, EXACT SOLUTIONS OF TIME-SPACE FRACTIONAL GENERALIZED GINZBURG-LANDAU EQUATION FOR SHALLOW WAKE FLOWS","authors":"L. Fu, Huanhe Dong, C. M. Khalique, Hongwei Yang","doi":"10.11948/20200053","DOIUrl":"https://doi.org/10.11948/20200053","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"4 1","pages":"874-891"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79063005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"EXISTENCE OF PERIODIC AND KINK WAVES IN A PERTURBED DEFOCUSING MKDV EQUATION","authors":"Hong Li, Lilin Ma, Mei-na Liu","doi":"10.11948/20200227","DOIUrl":"https://doi.org/10.11948/20200227","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"33 1","pages":"1029-1038"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80781596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yan‐Bin Bai, Weihua Jiang, Yanping Guo, Yunhong Li, Yujing Liu
{"title":"THE EXISTENCE OF NONTRIVIAL SOLUTION FOR BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION","authors":"Yan‐Bin Bai, Weihua Jiang, Yanping Guo, Yunhong Li, Yujing Liu","doi":"10.11948/20200202","DOIUrl":"https://doi.org/10.11948/20200202","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"6 1","pages":"1017-1028"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79416324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper is concerned with the following high-order nonlinear fuzzy difference system $ {x_{n + 1}} = frac{{A{kern 1pt} {x_{n - m}}}}{{B + C{kern 1pt} prodlimits_{i = 0}^m {{x_{n - i}}} }}, {kern 1pt} {kern 1pt} {kern 1pt} {kern 1pt} {kern 1pt} n = 0, 1, 2, cdots , $ where $ {x_n} $ is a sequence of positive fuzzy numbers, the parameters and the initial conditions $ {x_{ - m}}, ;{x_{ - m + 1}}, ; cdots , {x_0} $ are positive fuzzy numbers, $ m $ is non-negative integer. More accurately, our main purpose is to study the existence and uniqueness of the positive solutions, the boundedness of the positive solutions, the instability, local asymptotic stability and global asymptotic stability of the equilibrium points for the above equation by using the iteration method, the inequality skills, the mathematical induction, and the monotone boundedness theorem. Moreover, some numerical examples to the difference system are given to verify our theoretical results.
{"title":"DYNAMICS OF A HIGH-ORDER NONLINEAR FUZZY DIFFERENCE EQUATION","authors":"Changyou Wang, Jiahui Li, Lili Jia","doi":"10.11948/20200050","DOIUrl":"https://doi.org/10.11948/20200050","url":null,"abstract":"This paper is concerned with the following high-order nonlinear fuzzy difference system $ {x_{n + 1}} = frac{{A{kern 1pt} {x_{n - m}}}}{{B + C{kern 1pt} prodlimits_{i = 0}^m {{x_{n - i}}} }}, {kern 1pt} {kern 1pt} {kern 1pt} {kern 1pt} {kern 1pt} n = 0, 1, 2, cdots , $ where $ {x_n} $ is a sequence of positive fuzzy numbers, the parameters and the initial conditions $ {x_{ - m}}, ;{x_{ - m + 1}}, ; cdots , {x_0} $ are positive fuzzy numbers, $ m $ is non-negative integer. More accurately, our main purpose is to study the existence and uniqueness of the positive solutions, the boundedness of the positive solutions, the instability, local asymptotic stability and global asymptotic stability of the equilibrium points for the above equation by using the iteration method, the inequality skills, the mathematical induction, and the monotone boundedness theorem. Moreover, some numerical examples to the difference system are given to verify our theoretical results.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"92 1","pages":"404-421"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88965596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Qiannan Song, Ruizhi Yang, Chunrui Zhang, Lei Wang
{"title":"BIFURCATION ANALYSIS OF A DIFFUSIVE PREDATOR-PREY MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE","authors":"Qiannan Song, Ruizhi Yang, Chunrui Zhang, Lei Wang","doi":"10.11948/20200119","DOIUrl":"https://doi.org/10.11948/20200119","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"74 1","pages":"920-936"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88100181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"GROUND STATE SOLUTIONS OF NONLINEAR SCHRÖDINGER EQUATIONS WITH ASYMPTOTICALLY PERIODIC POTENTIALS","authors":"Jianmin Guo, Shugui Kang, Shiwang Ma, Guang Zhang","doi":"10.11948/20190137","DOIUrl":"https://doi.org/10.11948/20190137","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"16 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79797966","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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