检查两个日期之间是否包含句点

Question

i've a mysql table like this:

   | ID | ID_period | date_start |  date_end  |
   | 1  |   1       | 0000-07-01 | 0000-08-31 |
   | 2  |   2       | 0000-09-01 | 0000-10-30 |
   | 3  |   3       | 0000-11-01 | 0000-12-28 |
   | 4  |   4       | 0000-11-01 | 0000-03-31 |

how can i select IDs that are included between this period 0000/07/14 - 0000/08/25 ?

date_start and date_end columns are DATE format.

THE PROBLEM is that if i search for a period (included and intersect) that is ie: from 0000-12-12 to 0000-01-25 i get 0 records from the select, i guess for the year that is '0000'.. how can i fix it ?

another problem is that if i search a period like 11-01 to 12-31 i got 0 results.. because last day od december in date_end is 28.. but if i search for a period 11-01 to 12-31 is because i want all the records included.. so i'd like to get the record having id=3 and id=4

at the moment im using the following query:

SELECT ... WHERE '12' BETWEEN MONTH(date_start) and MONTH(date_end)
AND '15' BETWEEN DAY(date_start) and DAY(date_end)
AND '03' BETWEEN MONTH(date_start) and MONTH(date_end)
AND '28' BETWEEN DAY(date_start) and DAY(date_end)

Answer 1

SELECT  *
FROM    mytable
WHERE   date_start BETWEEN '0000-07-14' AND '0000-08-25'
        OR date_end BETWEEN '0000-07-14' AND '0000-08-25'
        OR (date_start<'0000-07-14' AND date_end>'0000-08-25')