Nonoscillation of First-Order Dynamic Equations with Several DelaysReport as inadecuate




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Advances in Difference Equations

, 2010:873459

First Online: 02 August 2010Received: 18 February 2010Accepted: 21 July 2010

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.

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Author: Elena Braverman - Başak Karpuz

Source: https://link.springer.com/







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