| Popis: |
This chapter reviews Hill's equation, which is a generalization of Mathieu's equation, namely, (d 2 w/ d z 2 ) + J ( z ) = 0, where J ( z ) is even and periodic with period π. This equation arose in the course of Hill's investigation of the motion of the moon, as long ago as 1877; in that equation, J ( z ) represents the gravitational influence of other bodies in the solar system. The chapter reviews finite solutions of Ince's equation. From the mathematical viewpoint, Hill's equation is very similar to Mathieu's general equation. |
