Oscillation and a class of linear delay differential equations

Lovelady, David Lowell

doi:10.1090/S0002-9947-1977-0430471-8

Oscillation and a class of linear delay differential equations
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by David Lowell Lovelady

Trans. Amer. Math. Soc. 226 (1977), 345-364

DOI: https://doi.org/10.1090/S0002-9947-1977-0430471-8

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Abstract:

The differential equation ${u^{(m)}}(t) + p(t)u(g(t)) = 0$. where P is one-signed, is broken into four cases, according to the parity of m and the sign of p. In each case, an analysis is given of the effect g can have on oscillation properties, and oscillation and nonoscillation criteria are given.

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