A completeness theorem for a nonlinear multiparameter eigenvalue problem |
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Authors: | Patrick J Browne |
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Institution: | Department of Mathematics, Statistics, and Computing Science, The University of Calgary, Calgary, Alberta, Canada T2N 1N4 |
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Abstract: | In this paper we study the linked nonlinear multiparameter system , where xr? ar, br], yr is subject to Sturm-Liouville boundary conditions, and the continuous functions ars satisfy ¦ . Conditions on the polynomial operators Mr, Prs are produced which guarantee a sequence of eigenfunctions for this problem yn(x) = Πr=1kyrn(xr), n ? 1, which form a basis in . Here a, b] = a1, b1 × … × ak, bk]. |
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