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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1991-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000923 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849412548378492928 |
|---|---|
| author | D. A. Georgiou C. Qian |
| author_facet | D. A. Georgiou C. Qian |
| author_sort | D. A. Georgiou |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-642265d4062b4db496dbae96d2066b5f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-642265d4062b4db496dbae96d2066b5f2025-08-20T03:34:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114468969610.1155/S0161171291000923Oscillation criteria in neutral equations of n order with variable coefficientsD. A. Georgiou0C. Qian1Department of Mathematics, The University of Rhode Island, Kingston 02881-0816, RI, USADepartment of Mathematics, The University of Rhode Island, Kingston 02881-0816, RI, USAConsider 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.http://dx.doi.org/10.1155/S0161171291000923neutral delay differential equationsτ-periodic coefficientoscillatory behavior. |
| spellingShingle | D. A. Georgiou C. Qian Oscillation criteria in neutral equations of n order with variable coefficients International Journal of Mathematics and Mathematical Sciences neutral delay differential equations τ-periodic coefficient oscillatory behavior. |
| title | Oscillation criteria in neutral equations of n order with variable coefficients |
| title_full | Oscillation criteria in neutral equations of n order with variable coefficients |
| title_fullStr | Oscillation criteria in neutral equations of n order with variable coefficients |
| title_full_unstemmed | Oscillation criteria in neutral equations of n order with variable coefficients |
| title_short | Oscillation criteria in neutral equations of n order with variable coefficients |
| title_sort | oscillation criteria in neutral equations of n order with variable coefficients |
| topic | neutral delay differential equations τ-periodic coefficient oscillatory behavior. |
| url | http://dx.doi.org/10.1155/S0161171291000923 |
| work_keys_str_mv | AT dageorgiou oscillationcriteriainneutralequationsofnorderwithvariablecoefficients AT cqian oscillationcriteriainneutralequationsofnorderwithvariablecoefficients |