Fredholm boundary-value problems with a parameter on the spaces C(n)[a, b]

TitleFredholm boundary-value problems with a parameter on the spaces C(n)[a, b]
Publication TypeJournal Article
Year of Publication2014
AuthorsMikhailets, VA, Chekhanova, GA
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
Date Published7/2014

We introduce and study boundary-value problems generated by the system of m ordinary linear differential equations of the first order and boundary conditions of the form By = c, where B: C(n)([a, b], Cm) → Cm is a continuous linear operator, and m, n are positive integers. We prove that such boundary-value problems possess the Fredholm property. Sufficient conditions for their solutions together with their derivatives up to order n to depend continuously on the parameter in the uniform norm are found.

KeywordsFredholm boundary-value problems, spaces

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