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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| Institution: | 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 $ n\in \mathbb{N} $ and 1 ≤ p < ∞. |
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