Asymptotic solution of definite class of singularly perturbed linear boundary-value problems for ordinary differential equations

TitleAsymptotic solution of definite class of singularly perturbed linear boundary-value problems for ordinary differential equations
Publication TypeJournal Article
Year of Publication1999
AuthorsKarandjulov L
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume91
IssueLivre 1 - Mathématiques et Mecanique
Pagination79-95
ISSN0205-0808
Keywordsasymptotic solution, boundary functions, boundary-value problems, singular perturbation
Abstract

The singular perurbation for boundary problems for linear systems of ordinary differential equations is considered. Under suitable assumptions using generalized inverse matrix the unique asymptotic expansion with boundary function is constructed.

1991/95 MSC

34E15

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