Yes, querying sqlite_master is another way. I used this formulation last time I did this, probably an even better formulation is possible: 
my $check_if_bracket_table = $dbh->prepare("SELECT name 
                                            FROM sqlite_master
                                            WHERE 
                                              type = 'table' AND
                                              name = 'Brackets'");
$check_if_bracket_table->execute();
my $ref = $check_if_bracket_table -> fetchall_arrayref;

if (@$ref >0){...}   # the Bracket Table exists...

[download]
Update: the sqlite_master table contains a lot of meta information about the DB. A lot more can be discovered than just whether a table exists or not. I am not an SQL guru, this is something I did last year to solve a problem. I had to do some stuff with the Brackets table, if it existed. Otherwise there were some rules about how to deal with situation.

In reply to Re^2: Log4perl: Create missing SQLite file and log to it by Marshall
in thread Log4perl: Create missing SQLite file and log to it by mbloecker

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.