Yan's oscillation theorem revisited

نویسندگان

  • Yuri V. Rogovchenko
  • Fatos Tuncay
چکیده

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: Keywords: Linear differential equations Damping Oscillatory solutions Yan's oscillation theorem Integral averaging technique a b s t r a c t Yan's contribution [J. Yan, Oscillation theorems for second order linear differential equations with damping, Proc. Amer. Math. Soc. 98 (1986) 276–282] was an important breakthrough in the development of the Theory of Oscillation. This frequently cited paper has stimulated extensive investigations in the field. During the last decade, an integral oscillation technique has been developed to such an extent as to allow us to revisit Yan's fundamental oscillation theorem and remove one of the conditions, leaving the other assumptions and the conclusion intact, thus enhancing this keystone result.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2009