Oscillation criteria in neutral equations of n order with variable coefficients
Consider the n-order neutral delay differential equation dndtn[y(t)+P(t)y(t−τ)]+Q(t)y(t−σ)=0 where P,Q∈C[[t0,∞),ℝ] and the delays τ and σ are nonnegative real numbers. In this paper we examined the oscillatory behavior of the solutions of the above equation using techniques which allow the relaxatio...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000923 |
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| Summary: | Consider the n-order neutral delay differential equation
dndtn[y(t)+P(t)y(t−τ)]+Q(t)y(t−σ)=0
where P,Q∈C[[t0,∞),ℝ] and the delays τ and σ are nonnegative real numbers. In this paper we
examined the oscillatory behavior of the solutions of the above equation using techniques which
allow the relaxation of the restrictions which has been introduced previously. We illustrate new
type of conditions which improve and extend known results, by relaxing hypotheses that P is
constant and Q is τ-periodic. |
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| ISSN: | 0161-1712 1687-0425 |