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Anderson, Douglas R.

Interval criteria for oscillation of nonlinear second-order dynamic equations on time scales. (English) Zbl 1167.34008

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4614-4623 (2008).
Author’s abstract: Interval oscillation criteria are established for a second-order nonlinear dynamic equation on time scales by utilizing a generalized Riccati technique and an integral averaging technique. The theory can be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives.
Reviewer: Qingkai Kong (DeKalb)

Cited in 8 Documents

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
39A10 Additive difference equations

Keywords:

time scales; oscillation; Riccati substitution; second order
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\textit{D. R. Anderson}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4614--4623 (2008; Zbl 1167.34008)
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