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Neutral delay differential equations with variable delays. (English) Zbl 0717.34076

Differential equations and applications, Proc. Int. Conf., Columbus/OH (USA) 1988, Vol. I, 343-347 (1989).
Summary: [For the entire collection see Zbl 0707.00014.]
We study the oscillation and the asymptotic behavior of solutions of the neutral differential equation with variable delays \[ d/dt[y(t)+py(t-\tau (t))]+qy(t-\sigma (t))=0, \] where \(p\in {\mathbb{R}}\), \(q>0\), and \(\tau,\sigma \in C^ 1[[t_ 0,\infty),{\mathbb{R}}]\).

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
34K40 Neutral functional-differential equations

Citations:

Zbl 0707.00014