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Oscillation Criteria for Nonlinear Neutral Perturbed Dynamic Equations on Time Scales

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Information Computing and Applications (ICICA 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 308))

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Abstract

The paper is concerned with the oscillation for a class of second-order nonlinear neutral perturbed dynamic equations on time scales. By employing the generalized Riccati transformation and introducing a general class of parameter functions, some new sufficient conditions for oscillation of such dynamic equations are established. Our results extend and improve some known results in the literature and the results in particular are essentially new under the weak conditions for the parameter functions. An example to illustrate the main results is given.

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© 2012 Springer-Verlag Berlin Heidelberg

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Yu, X., Sun, H., Yang, H., Jing, H. (2012). Oscillation Criteria for Nonlinear Neutral Perturbed Dynamic Equations on Time Scales. In: Liu, C., Wang, L., Yang, A. (eds) Information Computing and Applications. ICICA 2012. Communications in Computer and Information Science, vol 308. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34041-3_43

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  • DOI: https://doi.org/10.1007/978-3-642-34041-3_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34040-6

  • Online ISBN: 978-3-642-34041-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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