LC sine-wave oscillators using general-purpose voltage   operational-amplifiers
  It has been found that some text-books show LC-oscillators that may not work as assumed. Thus, the typical example showing a LC-oscillator driven by a voltage operational-amplifier is simply wrong. The difficulty stems from the fact that such oscillators are normally built to work with transconductance- not with voltage-amplifiers. Such a difficulty however, can be readily solved by connecting a resistor in series with the so-called frequency-determining network. 
M. M. Jakas and F. Llopis