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A sturm separation theorem for a linear 2 n th order self-adjoint differential equation

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  • Charles T. Fulton
  • Limin Wu
  • Steven Pruess

Abstract

For the 2 n th order equation, ( − 1 ) n v ( 2 n ) + q v = 0 , with q continuous, we obtain a Sturm Separation theorem, involving n + 1 solutions of the equation, which is somewhat analogous to the classical result that the zeros of two linearly independent solutions of the second order equation separate each other.

Suggested Citation

  • Charles T. Fulton & Limin Wu & Steven Pruess, 1995. "A sturm separation theorem for a linear 2 n th order self-adjoint differential equation," International Journal of Stochastic Analysis, Hindawi, vol. 8, pages 1-18, January.
    • Handle: RePEc:hin:jnijsa:464071
    DOI: 10.1155/S1048953395000037
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