Hostname: page-component-7dd5485656-wxk4p Total loading time: 0 Render date: 2025-10-31T00:37:09.416Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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.

Information

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

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