Oscillations of Higher Order Neutral Differential Equations
Copyright policy )Oscillations of Higher Order Neutral Differential Equations
Consider linear neutral differential equations of odd order in the form \[ [x(t)- P(t) x(t-\tau)]^{(n)}+ Q(t) x(t-\sigma(t))= 0,\tag{1} \] where \(n\geq 1\), \(\tau> 0\), \(P\), \(Q\), \(\sigma\in C([t_0, \infty),\mathbb{R}^+)\) and \(\lim_{t\to \infty} (t- \sigma(t))= \infty\). The authors prove new necessary and sufficient conditions for oscillation of all solutions of (1) by some comparison methods.
Neutral differential equations, 34K15, Oscillation theory of functional-differential equations, linear neutral differential equations of odd order, comparison theorem, oscillation, 34C10, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Neutral functional-differential equations, comparison methods
Neutral differential equations, 34K15, Oscillation theory of functional-differential equations, linear neutral differential equations of odd order, comparison theorem, oscillation, 34C10, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Neutral functional-differential equations, comparison methods
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).11 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!