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

Files
gui.pdf (186.53 KB)
Date
2006-08-15
Authors
Gui, Zhanji
Journal Title
Journal ISSN
Volume Title
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.
Description
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.
URI
https://hdl.handle.net/10877/13964
Collections
Electronic Journal of Differential Equations