You showed us a script that isn't working, but you didn't really say what you wanted the script to do. The script bipinajith provided assumes that you just want to know if any files were found. I'm assuming that you have something generating log files, want to process the files found, and repeat the find after you've completed processing the files found by the 1st find until you have caught up with whatever is creating the log files. If that is what you want, try something like:
#!/bin/ksh
while [ $(find /apps//log -name 'tuesday*log' -mtime +1 -exec ls -lhrt {} \; |
tee find_out.$$ | wc -l) -ne 0 ]
do # process found files
while IFS="" read -r ls_out
do
printf "Processing ls output line:\n\t%s\n" "$ls_out"
# ... ... ...
done < find_out.$$
sleep 1
done
rm find_out.$$
echo "No files found"