The deficiency index of a third order operator
Copyright policy )The deficiency index of a third order operator
Let L be a formally selfadjoint third order linear ordinary differential operator defined on [r, x). Using a method of Fedorjuk, asymptotic formulas are found for the solutions of Ly = iσy, σ^O. 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.
Ordinary differential operators, 34E05, Linear ordinary differential equations and systems, Linear boundary value problems for ordinary differential equations, General theory of ordinary differential operators, 34C99
Ordinary differential operators, 34E05, Linear ordinary differential equations and systems, Linear boundary value problems for ordinary differential equations, General theory of ordinary differential operators, 34C99
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