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We introduce the most general class of linear boundary-value problems for systems of ordinary differential equations of order r ≥ 2 whose solutions belong to the Slobodetskii space Wps+rabℂm,$$ {W}_p^{s+r}\left(\left(a,b\right),{\mathbb{C}}^m\right),… Click to show full abstract
We introduce the most general class of linear boundary-value problems for systems of ordinary differential equations of order r ≥ 2 whose solutions belong to the Slobodetskii space Wps+rabℂm,$$ {W}_p^{s+r}\left(\left(a,b\right),{\mathbb{C}}^m\right), $$ where m 2 ℕ, s > 0, and p ∈ (1,∞). We also establish sufficient conditions under which the solutions of these problems are continuous functions of the parameter in the Slobodetskii space Wps+rabℂm.$$ {W}_p^{s+r}\left(\left(a,b\right),{\mathbb{C}}^m\right). $$
Journal Title: Ukrainian Mathematical Journal
Year Published: 2018
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