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Nonoscillatory differential equations with retarded and advanced arguments. (English) Zbl 0589.34053

Summary: Sufficient conditions are derived for a vector-matrix system of the form \[ \frac{d^ nX(t)}{dt^ n}+(-1)^{n-1}[P(t)X(t-\tau_ 1(t))+Q(t)X(t+\tau_ 2(\quad t))]=0 \] to be nonoscillatory.

MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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