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Oscillation of Second Order Nonlinear Ordinary Differential Equation with Alternating Coefficients

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Mathematical Modelling and Scientific Computation (ICMMSC 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 283))

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Abstract

In this paper, some the sufficient conditions for the oscillation of the solutions of the second order non-linear ordinary differential equation are obtained using Riccati Technique. The given results are the extension and improvement of the known oscillation results which was obtained before by many authors as Bihari [2] and Kartsatos [9]. These results are illustrated with examples that are solved using Runge Kutta method.

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematical Sciences, University of Malaya, 50603, Kuala Lumpur, Malaysia

    M. J. Saad, N. Kumaresan & Kuru Ratnavelu

Authors
  1. M. J. Saad
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  2. N. Kumaresan
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  3. Kuru Ratnavelu
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Gandhigram Rural University, 624302, Gandhigram, Tamil Nadu, India

    P. Balasubramaniam

  2. Department of Mathematics, Gandhigram Rural Institute - Deemed University, 624302, Gandhigram, Tamil Nadu, India

    R. Uthayakumar

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© 2012 Springer-Verlag Berlin Heidelberg

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Saad, M.J., Kumaresan, N., Ratnavelu, K. (2012). Oscillation of Second Order Nonlinear Ordinary Differential Equation with Alternating Coefficients. In: Balasubramaniam, P., Uthayakumar, R. (eds) Mathematical Modelling and Scientific Computation. ICMMSC 2012. Communications in Computer and Information Science, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28926-2_40

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  • DOI: https://doi.org/10.1007/978-3-642-28926-2_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28925-5

  • Online ISBN: 978-3-642-28926-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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