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The deficiency index of
a third order operator
Richard Carl Gilbert |
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Vol. 68 (1977), No. 2, 369–392
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Abstract |
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Let L be a formally selfadjoint third order linear ordinary differential operator defined on [r,∞). Using a method of Fedorjuk, asymptotic formulas are found for the solutions of Ly = iσy, σ≠0. These formulas are used to determine the deficiency index of L when L has polynomial coefficients. As a consequence, the deficiency index is determined for values of the parameters involved for which it has not previously been determined. |
Mathematical Subject Classification 2000
Primary: 34C99
Secondary: 34E05
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Milestones
Received: 4 September 1974
Revised: 1 March 1976
Published: 1 February 1977
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Authors |
| Richard Carl Gilbert | |
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