Nonoscillation of First-Order Dynamic Equations with Several Delays. (2nd August 2010)

• Record Type: Journal Article
• Authors: Braverman, Elena; Karpuz, Başak
• Other Names: Graef John Academic Editor.
• Is Part Of: Advances in difference equations. Volume 2010(2010)
• Publication Date: 2010-08-02
• Subjects: Difference equations -- Periodicals; 515.625
• DOI: 10.1155/2010/873459
• Languages: English
• ISSNs: 1687-1847

Abstract

Abstract : For dynamic equations on time scales with positive variable coefficients and several delays, we prove that nonoscillation is equivalent to the existence of a positive solution for the generalized characteristic inequality and to the positivity of the fundamental function. Based on this result, comparison tests are developed. The nonoscillation criterion is illustrated by examples which are neither delay-differential nor classical difference equations.