Periodic Solution for Nonlinear System of Differential Equations Depending on The Gamma Distribution
Keywords:
Periodic Solution, Differential Equations, Gamma Distribution, Numerical AnalyticAbstract
In this paper we study the periodic solution of nonlinear system of differential equations depending on the gamma distribution by using the numerical analytic method to investigate periodic solutions of ordinary differential equation which given by Samoilenko A. M. .These investigations lead us to improving and extending this method. Also we expand the results gained by Samoilenko A. M. to change the periodic system of nonlinear differential equations to periodic system of nonlinear differential equations depending the on gamma distribution.
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Voskresenskii, E.V., (1992). Periodic solutions of nonlinear systems and the averaging method, translated from differential equations Mordavskii state Univ., (28).
Butris, R.N, (2006). For system of nonlinear integro-differential equations J. of Educ. and Sci., Mosul, Iraq (18).
Mitropolsky, Yu. A. and Mortynyuk, D.I., (1979). Periodic solutions for the oscillations systems with retarded argument, Kiev, Ukraine.
Perestyuk, N.A. and Martynyuk D. I., (1971). Periodic Solutions of certain class systems of differential equations, Math. J, Univ., of Kiev, Kiev, Ukraine (3).
Samoilenko, A. M. and Ronto N. I., A numerical-analytic methods.
Shslapk, Yu. D., (1980). Periodic solutions of first-order nonlinear differential equations unsolvable for derivative, Math. J. Ukraine, Kiev, Ukraine (5).
Voskresenskii, E.V., (1992). Periodic solutions of nonlinear systems and the averaging method, translated from differential equations Mordavskii state Univ., (28).
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Published
2014-06-30
How to Cite
Butris, R. N. (2014). Periodic Solution for Nonlinear System of Differential Equations Depending on The Gamma Distribution. Science Journal of University of Zakho, 2(1), 204–212. Retrieved from https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/164
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Science Journal of University of Zakho
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