Oscillation of second-order Emden-Fowler neutral delay dynamic equations on time scales

  • Authors:
  • Da-Xue Chen

  • Affiliations:
  • College of Mathematics and Physics, Hunan Institute of Engineering, Xiangtan 411104, PR China

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2010

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Abstract

Several oscillation criteria are established for the second-order Emden-Fowler neutral delay dynamic equation (r(t)|x^@D(t)|^@l^-^1x^@D(t))^@D+f(t,y(@d(t)))=0 on an arbitrary time scale T, where x(t)@?y(t)+p(t)y(@t(t)) and @l0 is a constant. The results obtained here extend and improve some known results in the literature. Some examples illustrating our main results are also included.