Pub Date : 2021-01-01DOI: 10.1504/ijdsde.2021.10040325
Sabrina H. Streipert, Tom Cuchta
{"title":"A discrete SIS model of fractional order","authors":"Sabrina H. Streipert, Tom Cuchta","doi":"10.1504/ijdsde.2021.10040325","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10040325","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733695","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}
Pub Date : 2021-01-01DOI: 10.1504/ijdsde.2021.10043590
G. Nagamani, C. Karthik
{"title":"H∞ performance analysis for uncertain systems with actuator fault control via relaxed integral inequalities","authors":"G. Nagamani, C. Karthik","doi":"10.1504/ijdsde.2021.10043590","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043590","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733888","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}
Pub Date : 2021-01-01DOI: 10.1504/ijdsde.2021.10043524
S. Ramkumar, T. Manikantan
{"title":"Cartesian product of the extensions of fuzzy soft ideals over near-rings","authors":"S. Ramkumar, T. Manikantan","doi":"10.1504/ijdsde.2021.10043524","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043524","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734157","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}
Pub Date : 2021-01-01DOI: 10.1504/ijdsde.2021.10043586
C. Gokila, M. Sambath
{"title":"Qualitative analysis of stochastic fish farm model with mussel population","authors":"C. Gokila, M. Sambath","doi":"10.1504/ijdsde.2021.10043586","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043586","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"133 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733882","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}
Pub Date : 2021-01-01DOI: 10.1504/ijdsde.2021.10040330
S. Pinelas, N. E. Ramdani, A. Yeniçerioğlu, Yubin Yan
{"title":"Oscillatory and stability of a mixed type difference equation with variable coefficients","authors":"S. Pinelas, N. E. Ramdani, A. Yeniçerioğlu, Yubin Yan","doi":"10.1504/ijdsde.2021.10040330","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10040330","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66733986","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}
Pub Date : 2021-01-01DOI: 10.1504/ijdsde.2021.10043544
M. Joice Punitha, A. Sagaya Suganya
{"title":"2-pebbling property of butterfly-derived graphs","authors":"M. Joice Punitha, A. Sagaya Suganya","doi":"10.1504/ijdsde.2021.10043544","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043544","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734338","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}
Pub Date : 2021-01-01DOI: 10.1504/ijdsde.2021.10043543
P. Ramesh
{"title":"Bifurcation analysis of fractional-order VD model","authors":"P. Ramesh","doi":"10.1504/ijdsde.2021.10043543","DOIUrl":"https://doi.org/10.1504/ijdsde.2021.10043543","url":null,"abstract":"","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66734331","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}
Pub Date : 2020-08-20DOI: 10.1504/ijdsde.2020.10031332
P. A. Ogbiyele
In this paper, we consider a quasilinearwave equation having nonlinear damping and source terms and obtained global existence and blow up results under certain polynomial growth conditions on the nonlinear functions σi, βi, (i = 1, 2, ..., n), f and g. We obtain global existence result for positive initial energy solution using Galerkin approximation procedure and nonexistence (blow up) result using the technique introduced by Georgiev and Todorova (1994) with little modification for our problem.
本文考虑一类具有非线性阻尼和源项的拟线性波动方程，得到了非线性函数σi， βi， (i = 1,2，…)在多项式生长条件下的整体存在性和爆破结果。， n)， f和g。我们使用Galerkin近似法得到正初始能量解的整体存在性结果，使用Georgiev和Todorova(1994)引入的技术得到不存在(爆破)结果，对我们的问题做了很少的修改。
{"title":"Global existence and blow up of positive initial energy solution of a quasilinear wave equation with nonlinear damping and source terms","authors":"P. A. Ogbiyele","doi":"10.1504/ijdsde.2020.10031332","DOIUrl":"https://doi.org/10.1504/ijdsde.2020.10031332","url":null,"abstract":"In this paper, we consider a quasilinearwave equation having nonlinear damping and source terms and obtained global existence and blow up results under certain polynomial growth conditions on the nonlinear functions σi, βi, (i = 1, 2, ..., n), f and g. We obtain global existence result for positive initial energy solution using Galerkin approximation procedure and nonexistence (blow up) result using the technique introduced by Georgiev and Todorova (1994) with little modification for our problem.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47866173","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}
Pub Date : 2020-08-19DOI: 10.1504/ijdsde.2020.10031335
R. O'Brien
A commutative semigroup of contractions S on a Hilbert space, ℌ, has a natural order and resultant net structure which defines stability, system dynamics, and α and ω limits for the flight vectors ℌ0. The space of 'pure' flight vectors - no nontrivial weakly stable components - are spanned by the ω limits of weakly-wandering vectors which are weakly Poisson recurrent. ℌ0 splits: ℌ0 = ℌm ⊕ ℌw, ℌw the weakly stable subspace and Hm the weakly Poisson recurrent space. ℌm = ⊕M(xτ, S) where M(xτ, S) is the closed subspace spanned by the weak limit points of xτ, {xτ} an orthonormal set of weakly-wandering vectors in ℌm. Examples illustrate the results.
{"title":"Semigroup dynamics for flight vectors","authors":"R. O'Brien","doi":"10.1504/ijdsde.2020.10031335","DOIUrl":"https://doi.org/10.1504/ijdsde.2020.10031335","url":null,"abstract":"A commutative semigroup of contractions S on a Hilbert space, ℌ, has a natural order and resultant net structure which defines stability, system dynamics, and α and ω limits for the flight vectors ℌ0. The space of 'pure' flight vectors - no nontrivial weakly stable components - are spanned by the ω limits of weakly-wandering vectors which are weakly Poisson recurrent. ℌ0 splits: ℌ0 = ℌm ⊕ ℌw, ℌw the weakly stable subspace and Hm the weakly Poisson recurrent space. ℌm = ⊕M(xτ, S) where M(xτ, S) is the closed subspace spanned by the weak limit points of xτ, {xτ} an orthonormal set of weakly-wandering vectors in ℌm. Examples illustrate the results.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45286768","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}
Pub Date : 2020-08-14DOI: 10.1504/ijdsde.2020.10031336
Chao Wei
This paper is concerned with the parameter estimation problem for discrete observed Chan-Karoli-Longstaff-Saunders model driven by small Levy noises. The explicit formula of the least squares estimators are obtained and the estimation error is given. By using Cauchy-Schwarz inequality, Gronwall's inequality, Markov inequality and dominated convergence, the consistency of the least squares estimators are proved when a small dispersion coefficient e → 0 and n → ∞ simultaneously. The simulation is made to verify the effectiveness of the estimators.
{"title":"Parameter estimation for Chan-Karoli-Longstaff-Saunders model driven by small Lévy noises from discrete observations","authors":"Chao Wei","doi":"10.1504/ijdsde.2020.10031336","DOIUrl":"https://doi.org/10.1504/ijdsde.2020.10031336","url":null,"abstract":"This paper is concerned with the parameter estimation problem for discrete observed Chan-Karoli-Longstaff-Saunders model driven by small Levy noises. The explicit formula of the least squares estimators are obtained and the estimation error is given. By using Cauchy-Schwarz inequality, Gronwall's inequality, Markov inequality and dominated convergence, the consistency of the least squares estimators are proved when a small dispersion coefficient e → 0 and n → ∞ simultaneously. The simulation is made to verify the effectiveness of the estimators.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44608576","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}
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