Asymptotically linear solutions of differential equations via Lyapunov functions


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MUSTAFA O. G. , TUNÇ C.

APPLIED MATHEMATICS AND COMPUTATION, cilt.215, ss.3076-3081, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 215 Konu: 8
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.amc.2009.09.059
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.3076-3081

Özet

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.