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For the 2nth order equation, (−1)nv(2n)+qv=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

journal of applied mathematics and stochastic analysis

A sturm separation theorem for a linear <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$2n$"><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mrow></mml:math><scp>th</scp> order self-adjoint differential equation

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