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- W2045491018 abstract "In this paper we study the linked nonlinear multiparameter system y r n (X r ) + M r Y r + ∑ s=1 k λ s (a rs (X r ) + P rs ) Y r (X r ) = 0, r = l,…, k , where x r ϵ [ a r , b r ], y r is subject to Sturm-Liouville boundary conditions, and the continuous functions a rs satisfy ¦ A ¦ (x) = det a rs (x r ) > 0 . Conditions on the polynomial operators M r , P rs are produced which guarantee a sequence of eigenfunctions for this problem y n ( x ) = Π r =1 k y r n ( x r ), n ⩾ 1, which form a basis in L 2 ([a, b], ¦ A ¦) . Here [ a , b ] = [ a 1 , b 1 × … × [ a k , b k ]." @default.
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- W2045491018 date "1977-02-01" @default.
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- W2045491018 title "A completeness theorem for a nonlinear multiparameter eigenvalue problem" @default.
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- W2045491018 doi "https://doi.org/10.1016/0022-0396(77)90131-0" @default.
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