Interval criteria for forced oscillation with nonlinearities given by Riemann-Stieltjes integrals

@article{Sun2011IntervalCF,
  title={Interval criteria for forced oscillation with nonlinearities given by Riemann-Stieltjes integrals},
  author={Yuangong Sun and Qingkai Kong},
  journal={Computers & Mathematics with Applications},
  year={2011},
  volume={62},
  pages={243-252}
}
0 r(t, s)|x(t)|α(s)sgn x(t)dξ(s) = e(t), where b ∈ (0, ∞], α ∈ C[0, b) is strictly increasing such that 0 ≤ α(0) < 1 < α(b−), p, q, e ∈ C[0, ∞)with p(t) > 0, r ∈ C([0, ∞)×[0, b)), and ξ : [0, b) → R is nondecreasing. Interval oscillation criteria of the El-Sayed type and the Kong type are obtained. As a special case, the work in this paper unifies and improves the existing results in the literature for equations with a finite number of nonlinear terms. We also extend our results to equations… CONTINUE READING

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