Necessary and sufficient condition for oscillations of neutral differential equations-Reference-Cited by-同舟云学术

Necessary and sufficient condition for oscillations of neutral differential equations

Published:1987-01 Issue:3 Volume:28 Page:362-375
ISSN:0334-2700
Container-title:The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
language:en
Short-container-title:J. Aust. Math. Soc. Series B, Appl. Math

Author:

Kulenović M. R. S.,Ladas G.,Meimaridou A.

Abstract

AbstractConsider 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference10 articles.

1. On the numerical integration of a symmetric system of difference-differential equations of neutral type

2. [2] Grammatikopoulos M. K. , Grove E. A. and Ladas G. , “Oscillation of first order neutral delay differential equations”, J. Math. Anal. Appl. (to appear).

3. Necessary and Sufficient Conditions for Oscillations

4. [3] Grove E. A. , Ladas G. and Meimaridou A. , “A necessary and sufficient condition for the oscillation of neutral equations”, J. Math. Anal. Appl. (to appear).

5. [7] Sficas Y. G. and Stavroulakis I. P. , “Necessary and sufficient conditions for oscillations of neutral differential equations”, Proc. Int. Conf. on Theory and Applic. of Differential Equations, Pan American University, Edinburg, Texas 78539, USA, May 20–23, 1985.

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