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Existence, uniqueness and asymptotic expansion of the solution of a multipoint boundary-value problem with parameters for a singularly-perturbed system of integro-differential equations

Published online by Cambridge University Press:  14 November 2011

S. G. Hristova  and
D. D. Bainov
S. G. Hristova
Affiliation:
University of Plovdiv “Paissii Hilendarski”, Bulgaria
D. D. Bainov
Affiliation:
University of Plovdiv “Paissii Hilendarski”, Bulgaria
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Synopsis

An asymptotic expansion in powers of the small parameter of the solution of a singularly-perturbed system of integro-differential equations with a non-linear boundary condition set at several points of the interval considered is constructed and verified.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 92 , Issue 1-2 , 1982 , pp. 103 - 112
Copyright
Copyright © Royal Society of Edinburgh 1982

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References

1Vassilyeva, A. B. and Butuzov, V. F.. Asymptotic expansions of the solutions of singularly-perturbed equations (Moscow: Nauka, 1973) (in Russian).Google Scholar
2Imanaliev, M. I.. Asymptotic methods in the theory of the singularly-perturbed integro-differential systems (Frunze: Ilim, 1972) (in Russian).Google Scholar