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New nonoscillation criteria for delay differential equations

โœ Scribed by Jianhua Shen; Xianhua Tang

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
167 KB
Volume
290
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

This paper is concerned with the nonoscillation of first order delay differential equations of the form

is nondecreasing, ฯ„ (t) < t for t t 0 and lim t โ†’โˆž ฯ„ (t) = โˆž. New nonoscillation conditions are obtained. These conditions concern the case when the well-known nonoscillation condition t ฯ„ (t) p(s) ds 1/e is not satisfied.

๐Ÿ“œ SIMILAR VOLUMES

New oscillation criteria for linear dela
New oscillation criteria for linear delay differential equations
โœ Jianhua Shen; Xianhua Tang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 527 KB

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 Stavroulak

Nonoscillation criteria for second-order
Nonoscillation criteria for second-order half-linear differential equations
โœ Horng-Jaan Li; Cheh-Chih Yeh ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 373 KB

Two nonoscillatory characterizations of solutions of the half-linear second-order differential equation of the form [p(t)ly'l~-ly'] ' + q(t)lyla-ly = o, a > o are established for 7r(t0) := fto(P(S))-l/a ds < oo, and ~r(t0) = oo, respectively. Using these results, we obtain some sufficient conditions