Solutions of one-dimensional boundary-value problems with a parameter in Sobolev spaces |
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Authors: | Tatiana I. Kodliuk Vladimir A. Mikhailets |
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Affiliation: | 1. Institute of Mathematics of the NAS of Ukraine, 3, Tereshchenkovskaya Str., Kiev, 01601, Ukraine
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Abstract: | We consider the most general boundary-value problems for systems of m ordinary first-order differential equations. For the solutions of these problems, we find sufficient conditions for the continuity in parameter in the Sobolev space $ {{left( {W_p^n} right)}^m} $ with $ nin mathbb{N} $ and 1 ≤ p < ∞. |
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