Does this answer your question?

Here is the out put of the command shell command

ps -eaf | grep bpps | grep -v grep | awk '{print $1,$10}'

weblogic start
weblogic /export/home/weblogic/bai/bpps.sh
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I have also tried compiling it and i get the following error message:

Use of uninitialized value in concatenation (.) or string at bp1 line 
+3.
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If you need help debugging that compile error, you'll have to show what line 3 is.

Otherwise, I think the following is what you are looking for:

#!/usr/bin/env perl

use warnings;
use strict;

my $com1;

# replace call to ps with your ps output for this example:
$com1 = <<EOF;
weblogic start
weblogic /export/home/weblogic/bai/bpps.sh
EOF

print "1st\n";
check_for_bpps($com1);

# now assume that ps show that bpps is NOT running:
$com1 = 'foo bar';
print "2nd\n";
check_for_bpps($com1);
exit;

sub check_for_bpps {
    my $com1 = shift;
    if ($com1 =~ /weblogic/) {
        print "bpps is running.\n";
    }
    else {
        print "running com2.\n";
        #$com2 = `sh -c /export/home/weblogic/bai/bpps.sh start 2 > /d
+ev/null 2>&1`;
    }
}
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When I run this, I get the following output:

1st
bpps is running.
2nd
running com2.
[download]

The key here is that I'm using a regular expression to search for the 'weblogic' string in your ps output.