Conditions for the existence of a solution of a Noether boundary-value problem for a second-order system |
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| Authors: | M Langerova T Shovkoplyas |
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| Institution: | (1) University of Žilina, Žilina, Slovakia;(2) Shevchenko Kyiv National University, Kyiv |
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| Abstract: | We consider a weakly nonlinear boundary-value problem for a system of second-order ordinary differential equations. We find
a sufficient condition for the existence of at least one solution of this problem and propose a convergent iterative algorithm
for the determination of its solution.
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Translated from Neliniini Kolyvannya, Vol. 9, No. 3, pp. 368–375, July–September, 2006. |
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