In this article, we study the existence, uniqueness and exponential stability of random impulsive semilinear integro-differential systems. The results are obtained by using the contraction mapping principle. finally, an example is given to illustrate the applications of the abstract results.
{"title":"Exponential stability of random impulsive semilinear integro-differential systems","authors":"Anu Souriar","doi":"10.28919/eml/4094","DOIUrl":"https://doi.org/10.28919/eml/4094","url":null,"abstract":"In this article, we study the existence, uniqueness and exponential stability of random impulsive semilinear integro-differential systems. The results are obtained by using the contraction mapping principle. finally, an example is given to illustrate the applications of the abstract results.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131730912","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}
This paper is concerned with oscillation and nonoscillation of a kind of nonlinear neutral impulsive differential systems with constant coefficients and constant delays by using the pulsatile constant. The sufficient and necessary conditions for oscillation in the case δ ∈ R{0} are obtained. Two examples are included using the main results.
{"title":"Oscillation and nonoscillation properties for a kind of nonlinear neutral impulsive delay differential systems","authors":"S. Santra","doi":"10.28919/eml/4076","DOIUrl":"https://doi.org/10.28919/eml/4076","url":null,"abstract":"This paper is concerned with oscillation and nonoscillation of a kind of nonlinear neutral impulsive differential systems with constant coefficients and constant delays by using the pulsatile constant. The sufficient and necessary conditions for oscillation in the case δ ∈ R{0} are obtained. Two examples are included using the main results.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124878930","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}
Numerical approximations of the spectrum of the Oseen operator and the spectrum of the linearised Navier-Stokes operator for flow around a cylinder in two dimensions have been studied for Reynolds numbers in the range 2 to 40. By using a spectral method featuring basis functions covering the entire exterior domain, it is possible to obtain a numerical approximation to the continuous spectrum and the point spectrum. The numerical approximation of the spectra seems to agree with the expected rigorous results. Namely a parabolic tongue containing the continuous spectra for the Oseen operator and for the linearised Navier--Stokes operator a parabolic tongue containing the continuous part of the spectrum plus a finite number of isolated eigenvalues.
{"title":"Spectra of operators associated with flow around an infinite cylinder","authors":"Jonathan Gustafsson, Srihari Y. Sritharan","doi":"10.28919/eml/3908","DOIUrl":"https://doi.org/10.28919/eml/3908","url":null,"abstract":"Numerical approximations of the spectrum of the Oseen operator and the spectrum of the linearised Navier-Stokes operator for flow around a cylinder in two dimensions have been studied for Reynolds numbers in the range 2 to 40. By using a spectral method featuring basis functions covering the entire exterior domain, it is possible to obtain a numerical approximation to the continuous spectrum and the point spectrum. The numerical approximation of the spectra seems to agree with the expected rigorous results. Namely a parabolic tongue containing the continuous spectra for the Oseen operator and for the linearised Navier--Stokes operator a parabolic tongue containing the continuous part of the spectrum plus a finite number of isolated eigenvalues.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124345834","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}
This paper investigates a holonomic constrained system of a particle moving on a horizontal smooth plane. The equilibrium points, bifurcations and chaotic attractors of the system are analyzed. It shows that the rich dynamic behaviors of the particle motion system, including the degenerate Hopf bifurcations at multiple equilibrium points, the chaotic behaviors of the particle motion. The numerical simulations are carried out to verify theoretical analyses and to exhibit the rich chaotic behaviors.
{"title":"Bifurcation and chaos of a particle motion system with holonomic constraint","authors":"Ning Cui, Junhong Li","doi":"10.28919/eml/3974","DOIUrl":"https://doi.org/10.28919/eml/3974","url":null,"abstract":"This paper investigates a holonomic constrained system of a particle moving on a horizontal smooth plane. The equilibrium points, bifurcations and chaotic attractors of the system are analyzed. It shows that the rich dynamic behaviors of the particle motion system, including the degenerate Hopf bifurcations at multiple equilibrium points, the chaotic behaviors of the particle motion. The numerical simulations are carried out to verify theoretical analyses and to exhibit the rich chaotic behaviors.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127860633","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 hybrid two-step method for direct solutions of general second order initial value problem","authors":"","doi":"10.28919/eml/4877","DOIUrl":"https://doi.org/10.28919/eml/4877","url":null,"abstract":"","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","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":"114182682","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":"Determination of a better non-linear mathematical model with trigonometric sinusoidal behaviour for the pricing of local rice in Nigeria market","authors":"","doi":"10.28919/eml/6643","DOIUrl":"https://doi.org/10.28919/eml/6643","url":null,"abstract":"","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"52 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":"121397503","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":"Intuitive explanation of numerical diffusion with implicit scheme for advection equation","authors":"","doi":"10.28919/eml/7444","DOIUrl":"https://doi.org/10.28919/eml/7444","url":null,"abstract":"","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"8 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":"126604182","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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