Oscillation and asymptotic behavior of neutral differential equations with deviating arguments
- 1 June 1986
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 22 (1) , 1-19
- https://doi.org/10.1080/00036818608839602
Abstract
Consider the neutral differential equation where q≠0, p, τ, and σ are real numbers. Let y(t) be a nonoscillatory solution of Eq. (1). Then limtt→∞y(t) is determined for all cases, except: . Two conjectures (as well as evidence indicating their possible validity) are given to cover the missing cases i), ii), and iii). It is also shown that if qτ≧0, or if qτ<0 and p≧0, then each of the following conditions implies that every solution of Eq. (1) is oscillatory: .Keywords
This publication has 3 references indexed in Scilit:
- Oscillations caused by several retarded and advanced argumentsJournal of Differential Equations, 1982
- Theory of Functional Differential EquationsPublished by Springer Nature ,1977
- On the numerical integration of a symmetric system of difference-differential equations of neutral typeJournal of Mathematical Analysis and Applications, 1967