Oscilations of higher-order neutral equations
- 1 April 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 27 (4) , 502-511
- https://doi.org/10.1017/s0334270000005105
Abstract
Sufficient conditions are given for the occurrence of various types of asymptotic behaviour in the solution of a class of n th order neutral delay differential equations. The conditions are in the form of certain inequalities amongst the constants involved in the definition of the differential equations, and specify either oscillatory behavior, or asymptotic divergence, or solutions which converge to zero.Keywords
This publication has 6 references indexed in Scilit:
- A mixed neutral systemNonlinear Analysis, 1984
- On Delay Differential Inequalities of Higher OrderCanadian Mathematical Bulletin, 1982
- Theory of Functional Differential EquationsPublished by Springer Nature ,1977
- Asymptotic stability criteria for linear systems of difference-differential equations of neutral type and their discrete analoguesJournal of Mathematical Analysis and Applications, 1972
- On the numerical integration of a symmetric system of difference-differential equations of neutral typeJournal of Mathematical Analysis and Applications, 1967
- Existence and continuous dependence of solutions of a neutral functional-differential equationArchive for Rational Mechanics and Analysis, 1965