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On Periodic Solutions of Nonlinear Functional Differential Equations
Authors:Kiguradze  I.  Půža  B.
Affiliation:(1) A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi, 380093, Georgia;(2) Department of Mathematics, Masaryk University, Janá"ccaron"kovo nám. 2a, 66295 Brno, Czech Republic
Abstract:
Sufficient conditions are established for the existence and uniqueness of an ohgr-periodic solution of the functional differential equation 
$$frac{{dxleft( t right)}}{{dt}} = fleft( x right)left( t right),$$
where f is a continuous operator acting from the space of n-dimensional ohgr-periodic continuous vector functions into the space of n-dimensional ohgr-periodic and summable on [0,ohgr] vector functions.
Keywords:Functional differential equation    /content/l061wg470363t185/xxlarge969.gif"   alt="  ohgr"   align="  BASELINE"   BORDER="  0"  >-periodic solution  principle of a priori boundedness
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