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Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation

Author

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  • Irena Rachůnková
  • Lukáš Rachůnek

Abstract

Singular differential equation ( ð ‘ ( ð ‘¡ ) ð ‘¢ î…ž ) î…ž = ð ‘ ( ð ‘¡ ) ð ‘“ ( ð ‘¢ ) is investigated. Here ð ‘“ is Lipschitz continuous on ℝ and has at least two zeros 0 and ð ¿ > 0 . The function ð ‘ is continuous on [0,∞) and has a positive continuous derivative on (0,∞) and ð ‘ ( 0 ) = 0 . An asymptotic formula for oscillatory solutions is derived.

Suggested Citation

  • Irena Rachůnková & Lukáš Rachůnek, 2011. "Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-9, June.
  • Handle: RePEc:hin:jnlaaa:981401
    DOI: 10.1155/2011/981401
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