You could use the below xpath which will work with Xpath 1.0
//div[string-length(substring-before(@tagname, 'Destination')) >= 0 and string-length(substring-after(@tagname, 'Destination')) = 0 and contains(@tagname, 'Destination')]
Basically it checks if there is any string ( or no strings ) before the first occurrence of Destination
but there should not be any text after the Destination
Test input :
<root>
<!--Ends with Destination-->
<div tagname="779853cd-355b-4242-8399-dc15f95b3276_Destination" class="panel panel-default"></div>
<!--just Destination-->
<div tagname="Destination" class="panel panel-default"></div>
<!--Contains Destination-->
<div tagname="779853cd-355b-4242-8399-dc15f95b3276_Destination_some_text" class="panel panel-default"></div>
<!--Doesn't contain destination-->
<div tagname="779853cd-355b-4242-8399-dc15f95b3276" class="panel panel-default"></div>
</root>
Test output:
<div class="panel panel-default"
tagname="779853cd-355b-4242-8399-dc15f95b3276_Destination"/>
<div class="panel panel-default" tagname="Destination"/>