The Sturm–Liouville problem with singular potential and the extrema of the first eigenvalue

Rok, strany: 2013, 101 - 118

We get the infima and suprema of the first eigenvalue of the problem

$$ -y^\prime\prime+qy = λ y, $$

$$ \begin{cases} y^\prime(0)-k₀²y(0)=0, y^\prime(1)+k₁²y(1)=0, \end{cases} $$

where (q) belongs to the set of constant-sign summable functions on ([0,1]) such that \[ \int\limits₀¹ q  dx=1   or   \int\limits₀¹ q   dx=-1. \]

ISO 690:

Karulina, E., Vladimirov, A. 2013. The Sturm–Liouville problem with singular potential and the extrema of the first eigenvalue. In Tatra Mountains Mathematical Publications, vol. 54, no.1, pp. 101-118. 1210-3195.

APA:

Karulina, E., Vladimirov, A. (2013). The Sturm–Liouville problem with singular potential and the extrema of the first eigenvalue. Tatra Mountains Mathematical Publications, 54(1), 101-118. 1210-3195.