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dc.contributor.authorAgarwal, Ravi P.
dc.contributor.authorZafer, Agacik
dc.date.accessioned2017-10-13T19:37:45Z
dc.date.available2017-10-13T19:37:45Z
dc.date.issued2009-06-02
dc.identifier.citationAgarwal, R. P., & Zafer, A. (2009). Oscillation criteria for second-order forced dynamic equations with mixed nonlinearities. Advances in Difference Equations, 2009en_US
dc.identifier.urihttp://hdl.handle.net/11141/1925
dc.descriptionSecond-Order Forced Dynamic Equationsen_US
dc.description.abstractWe 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.isoen_USen_US
dc.rightsCopyright 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.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.titleOscillation criteria for second-order forced dynamic equations with mixed nonlinearitiesen_US
dc.typeArticleen_US
dc.identifier.doi10.1155/2009/938706


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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.
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.