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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 2, Pages 329–351 (Mi smj859)  
The generalized Cauchy problem for singularly perturbed impulsive systems in the critical case

L. I. Karandzhulov, Ya. P. Stoyanova

Technical University of Sofia
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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.
Received: 16.12.2003
Revised: 14.11.2004
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 2, Pages 269–290
DOI: https://doi.org/10.1007/s11202-006-0040-7
Bibliographic databases:
UDC: 517.925
Language: Russian
Citation: L. I. Karandzhulov, Ya. P. Stoyanova, “The generalized Cauchy problem for singularly perturbed impulsive systems in the critical case”, Sibirsk. Mat. Zh., 47:2 (2006), 329–351; Siberian Math. J., 47:2 (2006), 269–290
Citation in format AMSBIB
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\pages 329--351
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    		Сибирский математический журнал Siberian Mathematical Journal
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