Geodesic
Asymptotic Expansion of Solution for Almost Regular and Weakly Perturbed Systems of Ordinary Differential Equations
Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 185-190.

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In the paper is applied the Poincare method for solving almost regular nonlinear boundary-value problems with general boundary conditions. We assume that the differential system contains an additional function, which defines the perturbation as singular. Under certain conditions we get the asymptotics of the solution. *2000 Mathematics Subject Classification: 34B15.
Keywords: ODE, Poincare Method, Nonlinear Boundary-Value Problems 
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Karandzhulov, Lyudmil; Sirakova, Neli. Asymptotic Expansion of Solution for Almost Regular and Weakly Perturbed Systems of Ordinary Differential Equations. Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 185-190. http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a17/