<select id="yillar" name="donem">
    <option value="2012">2012</option>
    <option value="2011">2011</option>
    <option value="2010">2010</option>
    <option value="2009">2009</option>
    <option value="0">Diğer</option>
</select>

<input style="display:none;" type="text" placeholder="elle giriniz" value="" id="sene">

 <script type="text/javascript">
	
	$(document).ready(function(){
		$("#yillar").change(function(){
			var durum =  $(this).val();
			if(durum==0){
				$("#sene").fadeIn();
				$("#sene").val("");
			} else {
				$("#sene").fadeOut();
				$("#sene").val("");
			}
		});
		
	});
 
</script>




Demo: http://jsfiddle.net/b9zj5/