Extremal solutions of boundary value problems |
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| Authors: | N I Vasil’ev A Ya Lepin L A Lepin |
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| Institution: | 1.Institute for Mathematics and Computer Science,University of Latvia,Riga,Latvia |
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| 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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