Some new results on oscillation and nonoscillation for delay differential equations with impulses are established. A counterexample is given which shows that a known oscillation criterion is incorrect.
New oscillation criteria for linear delay differential equations
โ Scribed by Jianhua Shen; Xianhua Tang
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 527 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
obtain new sufficient conditions for the oecillation of ail solutions of the first-order linear delay differential equation d(t) +p(t)z(T(t)) = 0, with p(t) 2 0, T(t) < t. Our results improve the known resulta in the literature which include thcee obtained recently in papers by Elbert and Stavroulakii, Li, and Yu et al.
๐ SIMILAR VOLUMES
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Xn+l-xn+~-~Pi(n)xn-kl =0, n = 0,1,2,..., (\*\*) i=1 where {Pn} and {pi(n)} are sequences of nonnegative real numbers and k and ki are positive integers. New oscillation criteria of the forms limsup Pn > a + C(a) n~oo for equation (\*) and rn n-t-k i limsupZ E pi(s) > 1 n~oo /=1 s=n for equation (\*\
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