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Singularly perturbed linear boundary value problems. (English) Zbl 0776.93064

Two-points boundary value problems are considered for singularly perturbed linear differential systems with multiple parameters. The system is decoupled through a non-singular transformation. Approximate solutions of the original system are found in terms of the solutions of an auxiliary system corresponding to the decoupled one. The asymptotic behavior of the solutions of the original system is thereby analyzed.
Reviewer: T.Zolezzi (Genova)

MSC:

93C73 Perturbations in control/observation systems
34D15 Singular perturbations of ordinary differential equations
Full Text: DOI

References:

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