Periodic solutions for differential equations with state-dependent delay and positive feedback

Authors:
Mária Bartha
Affiliations:
Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H-6720 Szeged, Hungary
Venue:
Nonlinear Analysis: Theory, Methods & Applications
Year:
2003

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Abstract

Existence of a nontrivial periodic orbit and a homoclinic orbit connecting 0 to the periodic orbit is shown for the differential equation x'(t)=-µx(t) + f(x(t-r)), r = r(x(t)) with state-dependent delay and positive feedback. Here µ 0, f and r are smooth real functions with r(0)=1 and f' 0.