Highly Influenced

# 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} }

- Published 2011 in Computers & Mathematics with Applications
DOI:10.1016/j.camwa.2011.04.072

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

#### From This Paper

##### Figures, tables, results, connections, and topics extracted from this paper.

11 Extracted Citations

19 Extracted References

Similar Papers