PUT requests are very simple, just make sure to specify a content-length header and set post fields as a string.

Example:

<?php
function doPut($url, $fields)
{
   $fields = (is_array($fields)) ? http_build_query($fields) : $fields;

   if($ch = curl_init($url))
   {
      curl_setopt($ch, CURLOPT_CUSTOMREQUEST, 'PUT');
      curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
      curl_setopt($ch, CURLOPT_HTTPHEADER, array('Content-Length: ' . strlen($fields)));
      curl_setopt($ch, CURLOPT_POSTFIELDS, $fields);
      curl_exec($ch);

      $status = curl_getinfo($ch, CURLINFO_HTTP_CODE);

      curl_close($ch);

      return (int) $status;
   }
   else
   {
      return false;
   }
}

if(doPut('http://example.com/api/a/b/c', array('foo' => 'bar')) == 200)
   // do something
else
   // do something else.
?>

You can grab the request data on the other side with:

<?php
if($_SERVER['REQUEST_METHOD'] == 'PUT')
{
   parse_str(file_get_contents('php://input'), $requestData);

   // Array ( [foo] => bar )
   print_r($requestData);

   // Do something with data...
}
?>

DELETE  can be done in exactly the same way.