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Journal of the Korean Mathematical Society = 대한수학회지 v.47 no.4, 2010년, pp.659 - 674   SCIE SCOPUS
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OSCILLATORY BEHAVIOR OF A CERTAIN CLASS OF SECOND-ORDER NONLINEAR PERTURBED DYNAMIC EQUATIONS ON TIME SCALES

Saker, Samir H.    (DEPARTMENT OF MATHEMATICS COLLEGE OF SCIENCE KING SAUD UNIVERSITY, DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE MANSOURA UNIVERSITY  );
  • 초록

    This paper is concerned with the asymptotic behavior of solutions of the second-order nonlinear perturbed dynamic equation $$(r(t)x^{\Delta}(t))^{\Delta}\;+\;F(t,\;x^{\sigma}))=G(t,\;x^{\sigma},\;(x^{\Delta})^{\sigma})$$ on a time scale $\mathbb{T}$ . By using a new technique we establish some sufficient conditions which ensure that every solution oscillates or converges to zero. Our results improve the known oscillation results on the literature for the perturbed dynamic equations on time scales. Some examples illustrating our main results are given.


  • 주제어

    oscillation .   perturbed dynamic equations .   time scale.  

  • 참고문헌 (23)

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