Integrability of certain solutions of differential equations |
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| Authors: | Sung J Lee |
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| Institution: | (1) Department of Mathematics Jeffery Hall, Queen's University, K7L 3N6 Kingston, Ontario, Canada;(2) Present address: Department of Mathematics, The University of Alberta, T6G 2G1 Edmonton, Alberta, Canada |
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| Abstract: | Let L=Po(d/dt)n+P1(d/dt)n–1+...+Pn denote a formally self-adjoint differential expression on an open intervalI=(a, b) (–  a). Here the Pk are complex valued with (n — k) continuous derivatives onI, and P0(t) 0 onI. We discuss integrability of functions which are adjoint to certain fundamental solutions ofLy= y, and a related consequence. |
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| Keywords: | Primary 34-00 34A30 47B25 |
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