Existence and stability of periodic solutions of semilinear neutral type systems

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October 2001, 7(4): 809-820. doi: 10.3934/dcds.2001.7.809

Existence and stability of periodic solutions of semilinear neutral type systems

1.	Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel

Received January 2000 Revised April 2001 Published July 2001

Abstract
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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: nonlinear neutral systems, orbital stability., periodic solutions, Functional-differential equations.

Mathematics Subject Classification: Primary: 34K15; Secondary: 34K20, 34K9.

Citation: M.I. Gil’. Existence and stability of periodic solutions of semilinear neutral type systems. Discrete & Continuous Dynamical Systems - A, 2001, 7 (4) : 809-820. doi: 10.3934/dcds.2001.7.809

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