Rather slow, but working method to include any of words:
SELECT * FROM mytable WHERE column1 LIKE '%word1%' OR column1 LIKE '%word2%' OR column1 LIKE '%word3%'
If you need all words to be present, use this:
SELECT * FROM mytable WHERE column1 LIKE '%word1%' AND column1 LIKE '%word2%' AND column1 LIKE '%word3%'
If you want something faster, you need to look into full text search, and this is very specific for each database type.