[devote]

<div id="div01">Привет <span id="span01" style="display:none;">Павел</span></div> 
<div id="div02">Привет <span id="span01" style="display:none;">Павел</span></div> 
<div id="div03">Привет <span id="span01" style="display:none;">Павел</span></div>
<script type="text/javascript" src="http://code.jquery.com/jquery.min.js"></script>
<script type="text/javascript">
    $("div").mouseover(function(){
        $(this).find('span').show();
    }).mouseout(function(){
        $(this).find('span').hide();
    });
</script>