PERIODIC SOLUTIONS OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT AND SYMMETRIC MATRICES
Journal: International Journal of Advanced Research in Engineering and Technology (IJARET) (Vol.12, No. 02)Publication Date: 2021-02-28
Authors : Raad N.Butris; Sahla B.Abdi;
Page : 337-360
Keywords : Numerical-analytic method; existence; uniqueness and stability of periodic solution; Volterra integro-differential equation; retarded argument; symmetric matrices;
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Abstract
In this paper, we investigate the existence, approximation and stability solutions of the periodic solutions for some Volterra integro-differential equations with retarded argument and symmetric matrices, by using numerical-analytic method for studying the periodic solutions of ordinary differential equation which were introduced by Samoilenko. These investigations lead us to improving and extending the above method. Theorem on the periodic solution are established and some necessary sufficient conditions on a compact space.
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Last modified: 2021-03-27 14:15:41