Existence of positive periodic solutions to third-order delay differential equations

Date

2006-08-15

Authors

Gui, Zhanji

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Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

Using the continuation theorem of coincidence degree theory and analysis techniques, we establish criteria for the existence of periodic solutions to the following third-order neutral delay functional differential equation with deviating arguments x˙˙˙(t) + aẍ(t) + g(ẋ(t - τ(t))) + ƒ(x(t - τ(t))) = p(t). Our results complement and extend known results and are illustrated with examples.

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Keywords

Neutral delay, Third-order differential equation, Periodic solution

Citation

Gui, Z. (2006). Existence of positive periodic solutions to third-order delay differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(91), pp. 1-7.

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Attribution 4.0 International

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