Asymptotically linear solutions of differential equations via Lyapunov functions

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MUSTAFA O. G., TUNÇ C.

APPLIED MATHEMATICS AND COMPUTATION, vol.215, no.8, pp.3076-3081, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 215 Issue: 8
  • Publication Date: 2009
  • Doi Number: 10.1016/j.amc.2009.09.059
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3076-3081
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

We discuss the existence of solutions with oblique asymptotes to a class of second order nonlinear ordinary differential equations by means of Lyapunov functions. The approach is new in this field and allows for simpler proofs of general results regarding Emden-Fowler like equations. (C) 2009 Elsevier Inc. All rights reserved.