List child pages by slug not ID?

Why don”t you use get_page_by_title() to get the page object, and then pass its ID as the child_of parameter?

If you would rather use the actual slug, then get_page_by_path( $slug ) should do the trick.

So:

if ( $page = get_page_by_path( 'your-page-slug' ) ){
  wp_list_pages( 'orderby=name&depth=1&order=DESC&show_count=0&child_of=" .$page->ID . "&title_li=' );
}