Perturbations causing oscillations of functional-differential equations

Kartsatos, A. G.; Manougian, M. N.

doi:10.1090/S0002-9939-1974-0328270-3

Perturbations causing oscillations of functional-differential equations
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by A. G. Kartsatos and M. N. Manougian PDF

Proc. Amer. Math. Soc. 43 (1974), 111-117 Request permission

Abstract:

Some new criteria are given for the oscillation of solutions of perturbed functional-differential equations of the form \[ ({\text {I}})\quad {x^{(n)}} + P(t)f(x(g(t))) = Q(t).\] The results are new even in the case $g(t) \equiv t$, or when $({\text {I}})$ is linear. The function $Q(t)$ does not have to be small or periodic.

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