It's always been called the Davis Cup since its inception in 1900
None - the women's tennis equivalent is the Fed Cup.
The Federation Cup.
It is called the Solheim Cup.
Davis Cup was created in 1900.
Tennis is the sport associated with the Davis Cup.
Yes he was called Ivan Lendl.
Davis Cup (for men) and Fed Cup (for women) are tournaments played in team format in which the teams are made up of players from various countries (i.e. the United States has a Davis Cup and Fed Cup team, as does France, and Spain, and so on). In Davis and Fed Cup, the team to win three out of five matches moves on to the next round in the tournament (which spans over the course of the entire season). Unlike Grand Slam tournaments, players are not playing as individuals, for ranking points, or even for money.
The 2010 Davis cup final is not decided as yet.
Lithuania Davis Cup team was created in 1994.
India reached the finals of the Davis Cup in 1966, 1974 and 1987. However, they have never won the Davis Cup.
According to the Fed Cup Official Website (refer to the link, below), the women's Federation (Fed) Cup was created in 1963 to celebrate the 50th Anniversary of the International Tennis Federation. Similar to the men's Davis Cup tournament, professional women tennis players from many nations compete in this event.