Sturm theory is extended to the equation
for 1/p, q, r∈L1 [0, 1] with p, r > 0, subject to boundary conditions
Oscillation and comparison results are given, and asymptotic estimates are developed. Interlacing of eigenvalues with those of a standard Sturm–Liouville problem where the boundary conditions are ajy(j) = cj(py′)(j), j=0, 1, forms a key tool.
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