Existence and stability of periodic solutions of semilinear neutral type systems

M.I. Gil’

doi:10.3934/dcds.2001.7.809

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2001, Volume 7, Issue 4: 809-820. Doi: 10.3934/dcds.2001.7.809

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Existence and stability of periodic solutions of semilinear neutral type systems

M.I. Gil’^1,

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

Received: December 31, 1999

Revised: March 31, 2001

Published: September 2001

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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.

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Mathematics Subject Classification: Primary: 34K15; Secondary: 34K20, 34K99.

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