The effects of the solar activity cycle on the problem of the solar wind interaction with the supersonic LISM flow have been investigated. Our calculations have shown that the response of the position of the termination shock to the changes of the solar wind parameters is within 12% from the mean location. The response of the heliopause (HP) is much smaller, and the response of the bow shock (BS) is negligible. The existence of the BS is also discussed. In particular, we show that the Richardson [1997> scenario in which the BS disappears because of the TS motion cannot be physically realized. ¿ 1998 American Geophysical Union