{"title":"Margins for metric regularity modules of univaled and set-valued operators","authors":"A. Blaga","doi":"10.12988/NADE.2017.61188","DOIUrl":"https://doi.org/10.12988/NADE.2017.61188","url":null,"abstract":"","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"4 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":"122223437","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":"Numerical Solution of nonlinear Singular Systems Using He's Variational Iteration Method","authors":"S. Sekar, B. Venkatachalam, Alias Ravikumar","doi":"10.12988/NADE.2016.6867","DOIUrl":"https://doi.org/10.12988/NADE.2016.6867","url":null,"abstract":"In this paper, He's Variational Iteration Method (HVIM) is used to study the nonlinear time- invariant and time-varying singular systems. The results obtained using He's Variational Iteration Method and the methods taken from the literature (18) were compared with the exact solutions of the nonlinear time- invariant and time-varying singular systems. It is found that the solution obtained using the He's Variational Iteration Method is closer to the exact solutions of the nonlinear time-invariant and time-varying singular systems. Error Calculations for discrete and exact solutions are presented in a table form to highlight the efficiency of this method.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"4 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":"122241861","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}
P. Montiel, L. A. Munoz, C. Perez, E. P. M. Cardenas
{"title":"A simulation model applied to Dengue including vertical transmission and traps control","authors":"P. Montiel, L. A. Munoz, C. Perez, E. P. M. Cardenas","doi":"10.12988/NADE.2017.51151","DOIUrl":"https://doi.org/10.12988/NADE.2017.51151","url":null,"abstract":"Abstract We report on a simulation model to describe the vertical transmission dynamics of one Dengue virus serotype. It is also included the vector’s control by capturing it using traps. In this model we have used non-linear ordinary differential equations that interpret the human population dynamics (host) coupled to the adult mosquito dynamics by means of vertical and horizontal transmission. Finally, we simulate the model that describes this process with the Maple software; the parameter’s values were used as reported in the bibliography.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"260 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":"115817546","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":"New fixed point theorems for hybrid Kannan type mappings and MT(lambda)-functions","authors":"Wei-Shih Du","doi":"10.12988/NADE.2017.711","DOIUrl":"https://doi.org/10.12988/NADE.2017.711","url":null,"abstract":"","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"5 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":"131346290","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 uniqueness results for three-point boundary value problems for Caputo-Hadamard-type fractional differential equations","authors":"W. Shammakh","doi":"10.12988/NADE.2016.627","DOIUrl":"https://doi.org/10.12988/NADE.2016.627","url":null,"abstract":"In this paper, we study the existence and uniqueness results of solutions for threepoint boundary value problems for Caputo-Hadamard fractional differential equations by using some fixed point theorems. Example illustrating the results are obtained.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","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":"133981284","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 fractional-order model for computer viruses propagation with saturated treatment rate","authors":"M. El-shahed, F. Alissa","doi":"10.12988/NADE.2016.6870","DOIUrl":"https://doi.org/10.12988/NADE.2016.6870","url":null,"abstract":"In this paper, a fractional-order model for the spread of computer viruses with saturated treatment rate is presented. This model consists of three components: Susceptible, Infectious, and Recovered. The SIR epidemic model with saturated treatment rate is considered. The stability of the disease free and endemic equilibrium points are studied. The global stability of the disease free equilibrium point is also investigated. In addition, fractional Hopf bifurcation conditions for the model are proposed. The generalized Adams-Bashforth-Moulton method is used to solve and simulate the system of fractional differential equations.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"42 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":"115090422","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":"Asymptotic estimates of Laplace-Stieltjes integrals","authors":"I. Ovchar","doi":"10.12988/NADE.2016.6534","DOIUrl":"https://doi.org/10.12988/NADE.2016.6534","url":null,"abstract":"Asymptotic estimates of Laplace-Stieltjes integrals, that are finite on the real negative semi-axis, are obtained. Unimprovable conditions for such estimates are being considered. Mathematics Subject Classification: 30B50, 30D10","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"291 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":"117322211","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":"On nonlinear Black-Scholes equations","authors":"R. Agliardi, P. Popivanov, A. Slavova","doi":"10.12988/NADE.2013.13009","DOIUrl":"https://doi.org/10.12988/NADE.2013.13009","url":null,"abstract":"This paper revisits some solution methods for Black-Scholes equation and some of its nonlinear versions arising in option pricing theory.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"50 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":"126126952","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":"Conservation laws and multiple simplest equation methods to an extended quantum Zakharov-Kuznetsov equation","authors":"S. El‐Ganaini, M. A. Akbar","doi":"10.12988/NADE.2016.6633","DOIUrl":"https://doi.org/10.12988/NADE.2016.6633","url":null,"abstract":"The extended quantum Zakharov-Kuznetsov (QZK) equation, which arises in the study of astrophysics is investigated. Exact traveling wave solutions are obtained by using distinct types of the simplest equation method namely, the simplest equation method, the extended simplest equation method and the modified simplest equation method. In addition conservation laws via a new conservation theorem are constructed for the underlying equation. Mathematics Subject Classification: 35A20, 35D99, 35E05, 35Q40, 35Q51, 37J15","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","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":"124853237","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}