序号.

$\frac{F^{\prime }\left(\eta \right)}{F\left(\eta \right)}$

条件

1

$\frac{R}{2\left(1-P\right)}+\frac{R\sqrt{{\Delta }_3}}{2\left(1-P\right)}\frac{c_3\exp \left(\frac{\sqrt{{\Delta }_3}}{2}\eta \right)+c_4\exp \left(-\frac{\sqrt{{\Delta }_3}}{2}\eta \right)}{c_3\exp \left(\frac{\sqrt{{\Delta }_3}}{2}\eta \right)-c_4\exp \left(-\frac{\sqrt{{\Delta }_3}}{2}\eta \right)}$

$R\ne 0,{\Delta }_3\ge 0$

2

$\frac{R}{2\left(1-P\right)}+\frac{R\sqrt{-{\Delta }_3}}{2\left(1-P\right)}\frac{i{c}_3\cos \left(\frac{\sqrt{-{\Delta }_3}}{2}\eta \right)-c_4\sin \left(-\frac{\sqrt{-{\Delta }_3}}{2}\eta \right)}{i{c}_3\sin \left(\frac{\sqrt{-{\Delta }_3}}{2}\eta \right)+c_4\cos \left(-\frac{\sqrt{-{\Delta }_3}}{2}\eta \right)}$

$R\ne 0,{\Delta }_3<0$

3

$\frac{\sqrt{{\Delta }_2}}{1-P}\frac{c_3\cos \left(\sqrt{{\Delta }_2}\eta \right)+c_4\sin \left(\sqrt{{\Delta }_2}\eta \right)}{c_3\sin \left(\sqrt{{\Delta }_2}\eta \right)-c_4\cos \left(\sqrt{{\Delta }_2}\eta \right)}$

$R=0,{\Delta }_2\ge 0$

4

$\frac{\sqrt{-{\Delta }_2}}{1-P}\frac{i{c}_3\cosh \left(\sqrt{-{\Delta }_2}\eta \right)-c_4\sinh \left(\sqrt{-{\Delta }_2}\eta \right)}{i{c}_3\sinh \left(\sqrt{-{\Delta }_2}\eta \right)-c_4\cosh \left(\sqrt{-{\Delta }_2}\eta \right)}$

$R=0,{\Delta }_2<0$