{"title":"Influences of material and structure parameter on everted deformation for a spherical shell composed of incompressible hyperelastic materials","authors":"L. Qin, Zhao Wei","doi":"10.12988/NADE.2016.625","DOIUrl":"https://doi.org/10.12988/NADE.2016.625","url":null,"abstract":"In this paper, the problem of finite deformation is examined for a thin-walled everted spherical shell composed of a class of neo-Hookean materials, and then it is described as a class of boundary value problems (BVPs) of a certain second-order nonlinear ordinary differential equation (ODE). The implicit solutions are solved. By using numerical example, the results reveal the thickness of the everted cylindrical tube increase with the increasing initial thickness, the influences of the dimensionless radial perturbation parameters on the inner radius is significant.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"56 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":"117191895","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":"Investigation of the resolvent of equation of second order with normal operator coefficients on the semi-axis","authors":"H. Orudzhev, Qahire L. Shahbazova","doi":"10.12988/nade.2014.454","DOIUrl":"https://doi.org/10.12988/nade.2014.454","url":null,"abstract":"","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"26 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":"131518519","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 existence of solution for iterative integrodifferential equations","authors":"S. Kendre, V. V. Kharat, Ramdas Narute","doi":"10.12988/NADE.2015.512","DOIUrl":"https://doi.org/10.12988/NADE.2015.512","url":null,"abstract":"The aim of the present paper is to establish the existence and uniqueness of solutions of iterative integrodierentia l equations.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"18 Suppl 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":"132898252","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":"Open-Loop Nash Equilibrium in Erickson’s Oligopoly Model.","authors":"L. Grosset, B. Viscolani","doi":"10.12988/NADE.2015.537","DOIUrl":"https://doi.org/10.12988/NADE.2015.537","url":null,"abstract":"Abstract We deal with the oligopoly model introduced by Gary M. Erickson in 2009 to describe dynamic advertising competition. In the original article the feedback Nash equilibrium and the steady-state sales are characterized. Here, we analyze the same model under the open-loop information structure assumption, we obtain a Nash equilibrium and we prove that this is different than the feedback one. In the symmetric instance of the model we can compare the equilibria in the two information structures and we find that the open-loop Nash equilibrium requires greater advertising efforts and leads to higher steady-state sale levels.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"37 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":"133112672","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":"Several inequalities for norm","authors":"L. Ciurdariu","doi":"10.12988/NADE.2016.6746","DOIUrl":"https://doi.org/10.12988/NADE.2016.6746","url":null,"abstract":"The aim of this paper is to present new forms of several inequalities for operators in Hilbert spaces, using the classical norm given by the scalar product. Mathematics Subject Classification: 26D15","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"13 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":"133175816","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}
Hind Al-badrani, S. Saleh, H. Bakodah, M. Al-Mazmumy
{"title":"Numerical solution for nonlinear telegraph equation by modified Adomian decomposition method","authors":"Hind Al-badrani, S. Saleh, H. Bakodah, M. Al-Mazmumy","doi":"10.12988/NADE.2016.6418","DOIUrl":"https://doi.org/10.12988/NADE.2016.6418","url":null,"abstract":"In this paper, Adomian decomposition method (ADM) and Modified ADM are used to obtain one soliton solution to the nonlinear telegraph equation. Some examples are provided to illustrate the method. The results show the simplicity and the efficiency of the method.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","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":"131698198","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":"Two regularity criteria for the Navier-Stokes equations with damping in terms of one directional derivative of the velocity field","authors":"Jianlin Zhang","doi":"10.12988/NADE.2016.6425","DOIUrl":"https://doi.org/10.12988/NADE.2016.6425","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":"128981964","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":"Necessary and sufficient conditions for arbitrary linear combinations of solutions of a class of nonlinear partial differential equations to satisfy the differential equation","authors":"N. Yener","doi":"10.12988/NADE.2021.91133","DOIUrl":"https://doi.org/10.12988/NADE.2021.91133","url":null,"abstract":"The class of nonlinear partial differential equations that can be decomposed into sums of terms that are products of not necessarily the same number of linear differential operators is considered. Necessary and sufficient conditions for an arbitrary linear combination of a finite and an infinite number of solutions to satisfy the equation are derived. Mathematics Subject Classification: 35G20, 35G31, 35G99","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"30 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":"122865439","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 equivalent form and the evolution of generalized Schrodinger map heat flow","authors":"Penghong, Zhong","doi":"10.12988/nade.2015.536","DOIUrl":"https://doi.org/10.12988/nade.2015.536","url":null,"abstract":"We present a study of the singular and smooth solutions of the generalized Schrödinger map heat flow equation (GSMF) on hyperbolic space. Considering the associated hyperbolic Landau-Lifshitz spin evolution equation with uniaxial anisotropy together with applied field, we study the dynamics in terms of the stereographic variable. Firstly, a equivalent equation of this system is obtained. Based on this equivalent equation, we construct some singular and smooth solution of GSMF in 2-dimensional H2 space. We study these norm −1 solutions that allow us depict the mechanism of the evolution. Mathematics Subject Classification: 35K10, 35K65, 35Q40, 35Q55","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":"128576131","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}