Existence and stability of periodic solutions of semilinear neutral type systems

Pages: 809 - 820, Volume 7, Issue 4, October 2001

doi:10.3934/dcds.2001.7.809       Abstract        Full Text (151.5K)       Related Articles

M.I. Gil’ - Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel (email)

Abstract: Forced periodic oscillations of coupled systems of semilinear neutral type functional differential equations are investigated. Explicit conditions for existence, uniqueness and stability of periodic solutions are derived. These conditions are formulated in terms of the roots of characteristic polynomials.
In addition, estimates for periodic solutions and their derivatives are established.

Keywords:  Functional-differential equations, nonlinear neutral systems, periodic solutions, orbital stability.
Mathematics Subject Classification:  Primary: 34K15; Secondary: 34K20, 34K99.

Received: January 2000;      Revised: April 2001;      Published: July 2001.