Abstract
To prove the existence of a solution of a two-point boundary value problem for an nth-order operator equation by the a priori estimate method, we study extremal solutions of auxiliary boundary value problems for an nth-order differential equation with simplest right-hand side, which have a unique solution under certain restrictions on the boundary conditions.
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Original Russian Text © N.I. Vasil’ev, A.Ya. Lepin, L.A. Lepin, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 2, pp. 168–174.
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Vasil’ev, N.I., Lepin, A.Y. & Lepin, L.A. Extremal solutions of boundary value problems. Diff Equat 47, 166–172 (2011). https://doi.org/10.1134/S0012266111020029
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DOI: https://doi.org/10.1134/S0012266111020029