Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales

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Senel M. T.

ABSTRACT AND APPLIED ANALYSIS, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2012
  • Doi Number: 10.1155/2012/253107
  • Journal Name: ABSTRACT AND APPLIED ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Erciyes University Affiliated: Yes

Abstract

The oscillation of solutions of the second-order nonlinear dynamic equation (r(t)(x(Delta)(t))(gamma))(Delta) + p(t)(x(Delta)(t))(gamma) + f(t, x(g(t))) = 0, with damping on an arbitrary time scale T, is investigated. The generalized Riccati transformation is applied for the study of the Kamenev-type oscillation criteria for this nonlinear dynamic equation. Several new sufficient conditions for oscillatory solutions of this equation are obtained.