A Note on Zero Free Regions of the Stokes Multipliers for Second Order Ordinary Differential Equations with Cubic Polynomial Coefficients

作者：Nishitani Tatsuo^*

来源：Funkcialaj Ekvacioj-Serio Internacia, 2011, 54(3): 473-483.

• Zero free region
• Stokes multiplier
• Anharmonic oscillator

In this note, by a completely elementary argument, we give a rough estimate about zero free regions of the Stokes multipliers for second order differential equations with cubic polynomial coefficients. We also prove that the Stokes multipliers indeed has zeros outside this zero free regions by resorting to some classical results about spectral problem for anharmonic oscillators.

• 出版日期2011-12