{"title":"SMALLEST EIGENVALUES AND THE EXISTENCE RESULT FOR THE BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEMS","authors":"Caixia Guo, Jianmin Guo, Shugui Kang, Huapeng Li","doi":"10.11948/20220365","DOIUrl":"https://doi.org/10.11948/20220365","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"25 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":"117177457","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}
Lili Jia, Zongxin Lei, Changyou Wang, Yuqian Zhou, Tao Jiang, Yuanhua Du, and Qiuyan Zhang
{"title":"PROJECTION SYNCHRONIZATION OF FUNCTIONAL FRACTIONAL-ORDER NEURAL NETWORKS WITH VARIABLE COEFFICIENTS","authors":"Lili Jia, Zongxin Lei, Changyou Wang, Yuqian Zhou, Tao Jiang, Yuanhua Du, and Qiuyan Zhang","doi":"10.11948/20220491","DOIUrl":"https://doi.org/10.11948/20220491","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"36 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":"124036736","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}
Weili Liu, Hongpeng Zhang, Weipeng Zhang, Xuenan Sun
{"title":"DYNAMICAL BEHAVIORS OF A TUMOR-IMMUNE-VITAMIN MODEL WITH RANDOM PERTURBATION","authors":"Weili Liu, Hongpeng Zhang, Weipeng Zhang, Xuenan Sun","doi":"10.11948/20220558","DOIUrl":"https://doi.org/10.11948/20220558","url":null,"abstract":"This paper mainly explores the stochastic behaviors of the interaction between tumor cells and immune cells when vitamins are added. First, it is shown that the stochastic tumor-immune-vitamin model has a unique global positive solution. Second, we obtain that the solution of our model is stochastically ultimately bounded, stochastically permanent, extinct and persistent in mean under some threshold conditions. Moreover, when the perturbation is weak, the stochastic model has a unique stationary distribution. Finally, numerical simulations are performed to verify the theoretical results.","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"1 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":"125890857","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}
{"title":"HOPF BIFURCATION AND CHAOS OF COMBINATIONAL IMMUNE ANTI-TUMOR MODEL WITH DOUBLE DELAYS","authors":"Jingnan Wang, Lu Zang, Li Xu","doi":"10.11948/20220534","DOIUrl":"https://doi.org/10.11948/20220534","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"67 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":"124758677","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}
{"title":"LAGRANGE INTERPOLATION ON TIME SCALES","authors":"Svetlin G. Georgiev, İnci M. Erhan","doi":"10.11948/20200461","DOIUrl":"https://doi.org/10.11948/20200461","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"45 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":"128428691","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}
{"title":"THE STUDY OF EQUILIBRIA FOR GENERALIZED GAMES IN HAUSDORFF TOPOLOGICAL VECTOR SPACES","authors":"Donal O'Regan","doi":"10.11948/20220398","DOIUrl":"https://doi.org/10.11948/20220398","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"13 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":"127047684","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}
{"title":"A NOVEL ITERATIVE METHOD FOR SOLVING THE COUPLED SYLVESTER-CONJUGATE MATRIX EQUATIONS AND ITS APPLICATION IN ANTILINEAR SYSTEM","authors":"Wenli Wang, Caiqin Song","doi":"10.11948/20220032","DOIUrl":"https://doi.org/10.11948/20220032","url":null,"abstract":"This paper is devoted to constructing a modified relaxed gradient based iterative (MRGI) algorithm to solve the coupled Sylvester-conjugate matrix equations (CSCMEs) based on the hierarchical identification principle. Convergence analysis shows that the proposed algorithm is effective for arbitrary initial matrices. Further, we apply the MRGI algorithm to study a more general coupled Sylvester conjugate matrix equations and give a sufficient condition to guarantee that the iterative solution converges to the exact solution. Two numerical experiments are provided to demonstrate that the MRGI al-gorithm has better efficiency and accuracy than the three existing algorithms, which are presented by Wu et al. (2010) and Huang and Ma (2018). Finally, we derive an application of MRGI algorithm in discrete-time antilinear system.","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"1 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":"130892126","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}
Peiting Gao, Wen Zheng, Tao Wang, Yifei Li, Futong Li
{"title":"SIGNAL RECOVERY WITH CONSTRAINED MONOTONE NONLINEAR EQUATIONS THROUGH AN EFFECTIVE THREE-TERM CONJUGATE GRADIENT METHOD","authors":"Peiting Gao, Wen Zheng, Tao Wang, Yifei Li, Futong Li","doi":"10.11948/20220335","DOIUrl":"https://doi.org/10.11948/20220335","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"65 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":"123262493","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}
{"title":"RANDOM ATTRACTORS FOR NON-AUTONOMOUS STOCHASTIC WAVE EQUATIONS WITH STRONG DAMPING AND ADDITIVE NOISE ON $mathbb{R}$N","authors":"Yanjiao Li, Xiaojun Li, Jiabin Zuo","doi":"10.11948/20220006","DOIUrl":"https://doi.org/10.11948/20220006","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"64 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":"126051492","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}
{"title":"SYNCHRONIZATION OF THE RÖSSLER-LORENZ SYSTEMS WITH FRACTIONAL BROWNIAN MOTION","authors":"Hao Wen, Shang Wu, Hongfu Yang, Jianhua Huang","doi":"10.11948/20210219","DOIUrl":"https://doi.org/10.11948/20210219","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"70 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":"115954525","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}