Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2011, Number 1 (2011), Article ID 591254, 34 pages.
Nonoscillation of Second-Order Dynamic Equations with Several Delays
Existence of nonoscillatory solutions for the second-order dynamic equation for is investigated in this paper. The results involve nonoscillation criteria in terms of relevant dynamic and generalized characteristic inequalities, comparison theorems, and explicit nonoscillation and oscillation conditions. This allows to obtain most known nonoscillation results for second-order delay differential equations in the case for and for second-order nondelay difference equations ( for ). Moreover, the general results imply new nonoscillation tests for delay differential equations with arbitrary and for second-order delay difference equations. Known nonoscillation results for quantum scales can also be deduced.
Abstr. Appl. Anal., Volume 2011, Number 1 (2011), Article ID 591254, 34 pages.
First available in Project Euclid: 12 August 2011
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Braverman, Elena; Karpuz, Başak. Nonoscillation of Second-Order Dynamic Equations with Several Delays. Abstr. Appl. Anal. 2011 (2011), no. 1, Article ID 591254, 34 pages. doi:10.1155/2011/591254. https://projecteuclid.org/euclid.aaa/1313171400