Necessary and sufficient condition for oscillations of neutral differential equations
- 1 January 1987
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 28 (3) , 362-375
- https://doi.org/10.1017/s0334270000005452
Abstract
Consider the neutral delay differential equation where p ∈ R, τ ≥ 0, q1 > 0, σ1 ≥ 0, for i = 1, 2, …, k. We prove the following result.Theorem. A necessary and sufficient condition for the oscillation of all solutions of Eq. (1) is that the characteristic equation has no real roots.Keywords
This publication has 1 reference indexed in Scilit:
- Necessary and Sufficient Conditions for OscillationsThe American Mathematical Monthly, 1983