Oscillation criteria in neutral equations of n order with variable coefficients

Autor: D. A. Georgiou, C. Qian
Jazyk: angličtina
Rok vydání: 1991
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 14, Iss 4, Pp 689-696 (1991)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171291000923
Popis: 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.
Databáze: Directory of Open Access Journals
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