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arxiv: 1601.05984 · v2 · pith:FTP7SYJ3new · submitted 2016-01-22 · 🧮 math.CA · math.SP

On the sign-regularity of positive fourth-order differential operators

classification 🧮 math.CA math.SP
keywords differentialfourth-orderoperatorsign-regularityboundaryconditionscriteriumdefined
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It is shown that positivity in $(0,1)\times (0,1)$ of Green function of positively defined fourth-order ordinary differential operator (with separated boundary conditions) is a criterium of sign-regularity of this operator.

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