首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Asymptotic analysis of Emden-Fowler differential equations in the framework of regular variation
Authors:Kusano Takaši  Jelena V Manojlović
Institution:1. Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka, 814-0180, Japan
2. Faculty of Science and Mathematics, Department of Mathematics, University of Ni?, Vi?egradska 33, 18000, Ni?, Serbia
Abstract:Sufficient conditions are established for the existence of slowly varying solution and regularly varying solution of index 1 of the second-order nonlinear differential equation $$x^{\prime\prime}(t)+q(t)|x(t)|^{\gamma}\,{\rm sgn}\, x(t)=0, \quad \quad (A)$$ where γ is a positive constant different from 1 and q : a, ∞) → (0, ∞) is a continuous integrable function. We show how an application of the theory of regular variation gives the possibility of determining the precise asymptotic behavior of solutions of both superlinear and sublinear equation (A).
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号