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The generalized Cauchy problem for singularly perturbed impulsive systems in the critical case
Authors:L I Karandjulov  Ya P Stoyanova
Institution:(1) Technical University of Sofia, Sofia, Bulgaria
Abstract:We construct an asymptotic expansion for solutions to nonlinear singularly perturbed systems of impulsive differential equations. We successively determine all terms of the asymptotic expansion by means of pseudoinverse matrices and orthoprojections.
Keywords:singular perturbation  asymptotic expansion  boundary function  pseudoinverse matrices  orthoprojections
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