By using the Krasnoselskii fixed point theorem, sufficient conditions are obtained for the existence and multiplicity of positive periodic solutions for a class of second order damped functional differential equations with multiple delays. Our results are a further expansion of the previous research results.
{"title":"EXISTENCE AND MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS FOR A CLASS OF SECOND ORDER DAMPED FUNCTIONAL DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS","authors":"Ping Liu, Yong-Hong Fan, Lin-Lin Wang","doi":"10.11948/20190421","DOIUrl":"https://doi.org/10.11948/20190421","url":null,"abstract":"By using the Krasnoselskii fixed point theorem, sufficient conditions are obtained for the existence and multiplicity of positive periodic solutions for a class of second order damped functional differential equations with multiple delays. Our results are a further expansion of the previous research results.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"55 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91227157","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":"COMMUTING PERTURBATIONS OF OPERATOR EQUATIONS","authors":"Xue Xu, Jiu Ding","doi":"10.11948/20190382","DOIUrl":"https://doi.org/10.11948/20190382","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"46 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82223931","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":"ANALYSIS OF AUTONOMOUS LOTKA-VOLTERRA SYSTEMS BY LÉVY NOISE","authors":"Qiumei Zhang, D. Jiang","doi":"10.11948/20190212","DOIUrl":"https://doi.org/10.11948/20190212","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"46 1","pages":"176-191"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77833023","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}
B. He, Yong Hong, Zhen Li, Bicheng Yang, Guangzhou China Economics
{"title":"NECESSARY AND SUFFICIENT CONDITIONS AND OPTIMAL CONSTANT FACTORS FOR THE VALIDITY OF MULTIPLE INTEGRAL HALF-DISCRETE HILBERT TYPE INEQUALITIES WITH A CLASS OF QUASI-HOMOGENEOUS KERNELS","authors":"B. He, Yong Hong, Zhen Li, Bicheng Yang, Guangzhou China Economics","doi":"10.11948/20200086","DOIUrl":"https://doi.org/10.11948/20200086","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"7 1","pages":"521-531"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72835777","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 AND EXPONENTIAL STABILITY OF MILD SOLUTIONS FOR SECOND-ORDER NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATION WITH RANDOM IMPULSES","authors":"Linxin Shu, X. Shu, Quanxin Zhu, Fei Xu","doi":"10.11948/20190089","DOIUrl":"https://doi.org/10.11948/20190089","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"51 1","pages":"59-80"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79173238","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":"ON EQUILIBRIUM SOLUTIONS TO NONLOCAL MECHANISTIC MODELS IN ECOLOGY","authors":"E. Ellefsen, Nancy Rodríguez","doi":"10.11948/20200269","DOIUrl":"https://doi.org/10.11948/20200269","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80780126","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 investigates nonlinear set-valued functional differential equations with initial value conditions. By introducing the notion of Hukuhara partial derivative of set-valued function, using the comparison principle and the method of quasilinearization, we obtain monotone iterative sequences of approximate solutions which converge uniformly and quadratically to the solutions of such problems.
{"title":"QUADRATIC APPROXIMATION OF SOLUTIONS FOR SET-VALUED FUNCTIONAL DIFFERENTIAL EQUATIONS","authors":"Peiguang Wang, Yameng Wang","doi":"10.11948/20200133","DOIUrl":"https://doi.org/10.11948/20200133","url":null,"abstract":"This paper investigates nonlinear set-valued functional differential equations with initial value conditions. By introducing the notion of Hukuhara partial derivative of set-valued function, using the comparison principle and the method of quasilinearization, we obtain monotone iterative sequences of approximate solutions which converge uniformly and quadratically to the solutions of such problems.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"35 1","pages":"532-545"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82111494","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":"ASYMPTOTIC FLOCKING VELOCITY AND POSITION FORMULAS FOR THE DELAYED CUCKER-SMALE MODEL","authors":"Fen Nie, Yicheng Liu","doi":"10.11948/20190146","DOIUrl":"https://doi.org/10.11948/20190146","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"177 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85975570","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":"POSITIVE AND SIGN-CHANGING SOLUTIONS FOR THE FRACTIONAL KIRCHHOFF EQUATION WITH CRITICAL GROWTH","authors":"Qiujin Peng, Z. Ou, Ying Lv","doi":"10.11948/20190406","DOIUrl":"https://doi.org/10.11948/20190406","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"13 1","pages":"772-789"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86209539","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":"POSITIVE SOLUTIONS IN THE SPACE OF LIPSCHITZ FUNCTIONS TO A CLASS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE-POINT BOUNDARY VALUE CONDITIONS","authors":"J. Caballero, B. López, K. Sadarangani","doi":"10.11948/20200240","DOIUrl":"https://doi.org/10.11948/20200240","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"62 1","pages":"1039-1050"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85878544","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：