ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO LINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS

作者：Frasson Miguel V S^*; Tacuri Patricia H

来源：Communications on Pure and Applied Analysis, 2014, 13(3): 1105-1117.

DOI：10.3934/cpaa.2014.13.1105

• Functional differential equations
• asymptotic behavior
• periodic equations
• neutral equations
• Floquet theory

We study the asymptotic behaviour of the solutions of a class of linear neutral delay differential equations with discrete delay where the coefficients of the non neutral part are periodic functions which are rational multiples of all time delays. We show that this technique is applicable to a broader class where the coefficients of the neutral part are periodic functions as well.

• 出版日期2014-5