dc.contributor.author Agarwal, Ravi P. dc.contributor.author Zafer, Agacik dc.date.accessioned 2017-10-13T19:37:45Z dc.date.available 2017-10-13T19:37:45Z dc.date.issued 2009-06-02 dc.identifier.citation Agarwal, R. P., & Zafer, A. (2009). Oscillation criteria for second-order forced dynamic equations with mixed nonlinearities. Advances in Difference Equations, 2009 en_US dc.identifier.uri http://hdl.handle.net/11141/1925 dc.description Second-Order Forced Dynamic Equations en_US dc.description.abstract We obtain new oscillation criteria for second-order forced dynamic equations on time scales containing mixed nonlinearities of the form (r(t) Φα (xΔ))Δ + f (t, xσ) = e(t), t ∈ [t0, ∞) T with f(t, x) = q(t)Φα(x) + ∑i=1nqi(t)Φβi (x), Φ* (u) = u *-1u, where [t0, ∞)T is a time scale interval with t0 ∈ T, the functions r, q, qi, e: [t0, ∞)T → ℝ are right-dense continuous with r > 0, σ is the forward jump operator, xσ(t) := x (σ(t)), and β1 > ⋯ > βm > α > βm+1 > ⋯ βn > 0. All results obtained are new even for T = ℝ and T = ℤ. In the special case when T = ℝ and α = 1 our theorems reduce to (Y. G. Sun and J. S. W. Wong, Journal of Mathematical Analysis and Applications. 337 (2007), 549-560). Therefore, our results in particular extend most of the related existing literature from the continuous case to arbitrary time scale. en_US dc.language.iso en_US en_US dc.rights Copyright q 2009 R. P. Agarwal and A. Zafer. This is an open access article distributed under en_US the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. dc.rights.uri https://creativecommons.org/licenses/by/4.0/ en_US dc.title Oscillation criteria for second-order forced dynamic equations with mixed nonlinearities en_US dc.type Article en_US dc.identifier.doi 10.1155/2009/938706
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Except where otherwise noted, this item's license is described as Copyright q 2009 R. P. Agarwal and A. Zafer. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.