find the date close to that request

Hello I need to find the start and end dates of a chosen period.
In D3 insert start date to end date chosen E3 choice

In F3 using a formula (that is not working properly) I want to find the first date of column A corresponding to day month year inserted in D3.
In G3 (although the current formula returns the correct data) I want are in column A day month year of the date entered in E3
If the date on A is not in search of those that must be taken close
example, if I enter into D3 01/05/2016 and in column A on the first day is the 04/05/2016 you will have to report F3 04/05/2016
The same thing goes for the cell G3 return the last day in the month column A chosen E3
Thank you very much

Try these

F3: =INDEX(A3:A20,MATCH(TRUE,INDEX(A3:A20>=D3,0),0))
G3: =LOOKUP(E3,A3:A20)

Or try this ...

F3: =MIN(IF(A3:A536>=D3,A3:A536,""))

G3: =MAX(IF(A3:A536<=E3,A3:A536,""))

Enter with Ctrl+Shift+Enter.

Fantastic, thanks to all work

I used the proposed Phuocam no "" as suggested by Tony Valko.
Thanks again to the next.