Display edit and delete button using content view
Node Full Content is displayed using node.tpl.php. If you would like to override tpl you can copy node.tpl.php and rename it to node--blog.tpl.php in your theme templates folder. For more information refer Drupal 7 Template Suggestions.

You can add Edit and Delete buttons using below code to the overrided template..

&lt;?php 
   if (drupal_valid_path('node/' . $node-&gt;nid . '/edit')) {
     print l('Edit', 'node/' . $node-&gt;nid . '/edit'); 
   }
?&gt;
&lt;?php 
   if (drupal_valid_path('node/' . $node-&gt;nid . '/delete')) {
     print l('Delete', 'node/' . $node-&gt;nid . '/delete');
   }
?&gt;