{"title":"HIGH ACCURACY PIECEWISE-ANALYTIC SOLUTIONS AND HIGHER-ORDER NUMERIC SOLUTIONS OF PROJECTILE MOTION WITH A QUADRATIC DRAG FORCE BY THE MULTISTAGE MODIFIED DECOMPOSITION METHOD","authors":"Junsheng Duan, Randolph Rach, Dichen Hu","doi":"10.11948/20210277","DOIUrl":"https://doi.org/10.11948/20210277","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"33 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":"133680700","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 DYNAMICAL BEHAVIOR AND PERIODIC SOLUTION IN DELAYED NONAUTONOMOUS CHEMOSTAT MODELS","authors":"Ningning Ye, Long Zhang, Zhidong Teng","doi":"10.11948/20210452","DOIUrl":"https://doi.org/10.11948/20210452","url":null,"abstract":"In this paper, the global dynamics and existence of positive periodic solutions in a general delayed nonautonomous chemostat model are investigated. The positivity and ultimate boundedness of solutions are firstly obtained. The sufficient conditions on the uniform persistence and strong persistence of solutions are established. Furthermore, the criterion on the global attractivity of trivial solution is also established. As the applications of main results, the periodic delayed chemostat model is discussed, and the necessary and sufficient criteria on the existence of positive periodic solutions, and uniform persistence and extinction of microorganism species are obtained. Lastly, the numerical examples are presented to illustrate the main conclusions.","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"21 7","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132433777","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":"REGIME SHIFTS BETWEEN OSCILLATORY PERSISTENCE AND EXTINCTION IN A STOCHASTIC CHEMOSTAT MODEL WITH PERIODIC PARAMETERS","authors":"Rong Liu, Wanbiao Ma, and Songbai Guo","doi":"10.11948/20210210","DOIUrl":"https://doi.org/10.11948/20210210","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"14 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":"128829759","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":"TRAVELING WAVE SOLUTIONS, POWER SERIES SOLUTIONS AND CONSERVATION LAWS OF THE NONLINEAR DISPERSION EQUATION","authors":"Yan‐Chow Ma, Zenggui Wang","doi":"10.11948/20220470","DOIUrl":"https://doi.org/10.11948/20220470","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"47 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":"131305872","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":"PARTIAL PRACTICAL STABILITY AND ASYMPTOTIC STABILITY OF STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY LÉVY NOISE WITH A GENERAL DECAY RATE","authors":"Shuaishuai Lu, Xue Yang","doi":"10.11948/20220476","DOIUrl":"https://doi.org/10.11948/20220476","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":"131334136","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":"OPTIMAL CONTROL OF TUMOR-LYMPHATIC MODEL WITH IMMUNO-CHEMOTHERAPY","authors":"Jingnan Wang, Li Xu","doi":"10.11948/20220553","DOIUrl":"https://doi.org/10.11948/20220553","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"200 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":"127401806","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":"BILINEAR $Theta$-TYPE CALDERÓN-ZYGMUND OPERATOR AND ITS COMMUTATOR ON PRODUCT NON-HOMOGENEOUS GENERALIZED MORREY SPACES","authors":"G. Lu, Miaomiao Wang","doi":"10.11948/20230054","DOIUrl":"https://doi.org/10.11948/20230054","url":null,"abstract":"","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":"127404879","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":"EXISTENCE AND GLOBAL ASYMPTOTIC BEHAVIOR OF MILD SOLUTIONS FOR DAMPED ELASTIC SYSTEMS WITH DELAY AND NONLOCAL CONDITIONS","authors":"Mei Wei, Yongxiang Li","doi":"10.11948/20220189","DOIUrl":"https://doi.org/10.11948/20220189","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"10 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":"123917704","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":"FLIP BIFURCATION WITH RANDOM EXCITATION","authors":"Diandian Tang, Jingli Ren","doi":"10.11948/20220042","DOIUrl":"https://doi.org/10.11948/20220042","url":null,"abstract":"","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":"124336127","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 SPACE-TIME SPECTRAL COLLOCATION METHOD FOR SOLVING THE VARIABLE-ORDER FRACTIONAL FOKKER-PLANCK EQUATION","authors":"Ahmed Z. Amin, António M. Lopes, Ishak Hashim","doi":"10.11948/20220254","DOIUrl":"https://doi.org/10.11948/20220254","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"325 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":"116441000","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}